Journal of Uncertain Systems

Published by print and online quarterly, England, UK

ISSN: 1752-8909 ( print )

ISSN: 1752-8917 (online)

World Academic Press, World Academic Union







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Volume 11 Number 2, May 2017 

    081. Contents

    082. Editorial Board

    084. Model-Order Reduction Using Interval Constraint Solving Techniques

L. Valera, and M. Ceberio

    104. Towards Selecting the Best Abstraction for a Patrolling Game

A. Basak, C. Kiekintveld, and V. Kreinovich

    119.  How to Predict Nesting Sites? 

S. Escarzaga, C. Tweedie, and V. Kreinovich

    122.  From Tertullian's Credo Quia Absurdum to Bohr's Crazy Theories: A Rational Explanation of a Seemingly Irrational Idea

O. Kosheleva, and V. Kreinovich

    125.  A Simplified Derivation of Confidence Regions Based on Inferential Models 

V. Kreinovich

    129.  Computability of the Avoidance Set and of the Set-Valued Identification Problem  

A. Welte, L. Jaulin, M. Ceberio, and V. Kreinovich

    137.  Avoiding Fake Boundaries in Set Interval Computing

A. Welte, L. Jaulin, M. Ceberio, and V. Kreinovich

    149.  How to Make Testing and Grading Non-Confrontational: Towards Applying Loving Kindness to Testing and Grading  

F. Zapata, and O. Kosheleva

    154.  Arithmetic about Linear Combinations of GPIV Fuzzy Variables

Y. Liu, and Z. Guo


Volume 11  Number 1, February 2017

    001. Contents

    002. Editorial Board

    003.  A Quasi-Newton Method for Solving Fuzzy Optimization Problems

M. Ghaznavi, and N. Hoseinpoor

    018.  A Two-Echelon Single-Period Inventory Control Problem with Market Strategies and Customer Satisfaction

S.H.R. Pasandideh, S.T.A. Niaki, and A. Keshavarzi

    035.  On Similarity Measures for Fuzzy Sets with Applications to Pattern Recognition, Decision Making, Clustering, and Approximate Reasoning

G. Hesamian, and J. Chachi

    049.  Novel Properties of Intuitionistic Fuzzy Competition Graphs

M. Nasir, S. Siddique, and M. Akram

    068.  Robust Optimal Decision for the Newsvendor Problem with Uncertain Market Demand

L. Xiao, and Y. Chen


Volume 10 Number 4, November 2016 

    241. Contents

    242. Editorial Board  

    243.  Quasi-consensus in Second-Order Multi-agent Systems with Sampled Data Through Fuzzy Transform

S. Tomasiello, M. Gaeta, and V. Loia

    251.  T-S Fuzzy Modeling and Synchronization of Chaotic Systems

A. Khan, and S. Kumar

    260.  Moment Analysis of Uncertain Stationary Independent Increment Processes

R. Gao, and H. Ahmadzade

    269.  Approximate Equilibrium Situations with Possible Concessions in Finite Noncooperative Game by Sampling Irregularly Fundamental Simplexes as Sets of Players’ Mixed Strategies
V.V. Romanuke

    282.  Fuzzy Order Statistics based on α-pessimistic

M. GH. Akbari, and H. Alizadeh Noughabi

    292.  Partial Quadratic Entropy of Uncertain Random Variables

H. Ahmadzade, R. Gao, and H. Zarei

    302.  Optimal Inventory Policy for Single-Period Inventory Management Problem under Equivalent Value Criterion

Z. Guo

    312.  Characterizing Credibilistic Comonotonicity of Fuzzy Vector in Fuzzy Decision Systems

X. Feng, and Y. Liu


Volume 10  Number 3, August 2016 

    161. Contents

    162. Editorial Board  

    163.  Fuzzy Hukuhara Delta Differential and Applications to Fuzzy Dynamic Equations on Time Scales

C. Vasavi, G.S. Kumar, and M.S.N. Murty

    181.  Time Truncated Sampling Plan under Hybrid Exponential Distribution

S. Sampath, and S.M. Lalitha

    198.  Automatic Identification of Firefighters with Post-Traumatic Stress Disorder Based on Demographic Characteristics and Self-Reported Alcohol Consumption

D. Magoc, T. Magoc, J. Tomaka, and S. Morales-Monks

    204.  Solving I-fuzzy Bi-matrix Games with I-fuzzy Goals by Resolving Indeterminacy

I. Khan, A. Aggarwal, and A. Mehra

    223.  A Credibilistic Optimization Approach to Single-Product Single-Period Inventory Problem with Two Suppliers

S.-N. Tian, and Z.-Z. Guo


Volume 10 Number 2, May 2016 

    081. Contents

    082. Editorial Board

    084. Bridging Credibility Measures and Credibility Distribution Functions on Euclidian Spaces

X. Feng, and Y. Liu

    091. A Survey on Various Route Optimization Techniques in Network Mobility

S. Goswami, and C.B. Das

    108. Unique Fixed Point Results for Sequence of Self Mappings in Generalized Fuzzy Metric Spaces 

V. Gupta, M. Verma, and N. Gulati

    114.  Managing Water Supply Risk through an Option Contract in Uncertain Environment

M. Ha, Z. Gao, X. Wang

    124.  The Credibility of Liu Process Arrives A Before Arrives B 

C. You, and X. Jiao

    130.  Optimizing Fuzzy Multi-item Single-period Inventory Problem under Risk-neutral Criterion  

Y.-N. Li, and Y. Liu

    142.  Finding Optimal Decisions in Supply Contracts by Two-stage Bi-objective Stochastic Optimization Method

W. Li, and Y. Chen


Volume 10  Number 1, February 2016

    001. Contents

    002. Editorial Board

    003.  How to Gauge Disruptions Caused by Garbage Collection: Towards an Efficient Algorithm

G. Arellano, E. Hudgins, D. Pruitt, A. Veliz, E. Freudenthal, and V. Kreinovich

    010.  Why Modified Exponential Covariance Kernel is Empirically Successful: A Theoretical Explanation

O. Kosheleva, and M. Beer

    015.  A Simplified Explanation of What It Means to Assign a Finite Value to an Infinite Sum

O. Kosheleva, and V. Kreinovich

    022.  Why It is Important to Precisiate Goals

O. Kosheleva, V. Kreinovich, and H.T. Nguyen

    031.  Why Sustained Effort is Important in Research: A Geometric Explanation

L.O. Lerma, and O. Kosheleva

    034.  Student Autonomy Improves Learning: A Theoretical Justification of Empirical Results

O. Lerma, and V. Kreinovich

    039.  Testing a Power Law Model of Knowledge Propagation: Case Study of the Out of Eden Walk Project

L.O. Lerma, L. Valera, D. Pennington, and V. Kreinovich

    048.  Every Function Computable by an Arithmetic Single Use Expression is a Ratio of Two Multi-Linear Functions: A Theorem

J. Lorkowski, O. Kosheleva, and V. Kreinovich

    053.  Why Awe Makes People More Generous: Utility Theory Can Explain Recent Experiments

J. Lorkowski, and V. Kreinovich

    057.  How to Distribute Security Efforts Between Different Units of an Industrial System

B. Rivera, and F. Zapata

    061.  How to Estimate Accuracy of Different Models: Non-Gaussian Case

C. Servin, A. Velasco, and O. Kosheleva

    068.  Homotopy Techniques in Solving Systems of Nonlinear Equations: A Theoretical Justification of Convex Combinations

N. Sun

    072.  When Can We Simplify Data Processing: An Algorithmic Answer

J. Urenda, O. Kosheleva, V. Kreinovich, and B. Wu


Volume 9 Number 4, November 2015 

    241. Contents

    242. Editorial Board  

    243.  Modeling Stochastic Closed-Loop Supply Chain for Deteriorating Products under Risk-Averse Criterion

Y. Wang, and Y. Chen

    251.  A New Intuitionistic Preference Scale based on Interval Type-2 Fuzzy Set for MCDM Problems

N. Zamri, and L. Abdullah

    274.  First Order Non Homogeneous Ordinary Differential Equation with Initial Value as Triangular Intuitionistic Fuzzy Number

S.P. Mondal, and T.K. Roy

    286.  Two-Layer Perceptron for Classifying Flat Scaled-Turned-Shifted Objects by Additional Feature Distortions in Training
V.V. Romanuke

    306.  Cost Varying Multi-objective Interval Transportation Problem under N-Vehicle

A. Panda, and C.B. Das


Volume 9  Number 3, August 2015 

    161. Contents

    162. Editorial Board  

    163.  Exploring a Risk Evaluation Model for New Product Development Project

M.-J. Kuan, and Y.M. Chen

    175.  Integrating Human Attitude in Risk Assessment Process

A.P. Tchangani

    183.  Nexus over an Ordinal

A.A. Estaji, and A.A. Estaji

    198.  Imprecise Individual Risk Models of Insurance

L.V. Utkin, and F.P.A. Coolen

    215.  Continuous Portfolio Selection Models under Uncertain Circumstances

Q. Zhu

    221.  Approximate Solution of First Order Nonlinear Fuzzy Initial Value Problem with Two Different Fuzzifications

A.F. Jameel, and A.I.M. Ismail

    230.  Modeling Credibilistic Data Envelopment Analysis under Fuzzy Input and Output Data

X.-Q. Feng, M.-Q. Meng, and Y.-K. Liu


Volume 9 Number 2, May 2015 

    081. Contents

    082. Editorial Board

    083. Preface

    084. Toward Computing an Optimal Trajectory for an Environment-Oriented Unmanned Aerial Vehicle (UAV) under Uncertainty

J. Brady, O. Lerma, V. Kreinovich, and C. Tweedie

    095. Towards Fast and Reliable Localization of an Underwater Object: An Interval Approach

Q. Brefort, L. Jaulin, M. Ceberio, and V. Kreinovich

    103. Standard Statistical Transformations (Logarithm and Logit) are Uniquely Determined by the Corresponding Symmetries 

M. Koshelev

    113.  Algorithmic Information Theory may Explain the Pathogenic Number of DNA Repeats in Myotonic Dystrophy Type 1 (and in Similar Diseases)

M. Koshelev, and L. Longpré

    124.  Computing Standard-Deviation-to-Mean and Variance-to-Mean Ratios under Interval Uncertainty is NP-Hard 

S.-L. Lo

    133.  How to Predict the Number of Vulnerabilities in a Software System: A Theoretical Justification for an Empirical Formula  

B. Rivera, and O. Kosheleva

    139.  Why Convex Homotopy is Very Useful in Optimization: A Possible Theoretical Explanation

N. Sun

    144.  Diversity is Beneficial for a Research Group: One More Quantitative Argument

K. Suriya, T. Sudtasan, T. Wang, O. Lerma, and V. Kreinovich

    148.  How to Explain the Definition of Stochastic Affiliation to Economics Students  

T. Wang, O. Kosheleva, and V. Kreinovich

    151.  Possible Geometric Explanations for Basic Empirical Dependencies of Systems Engineering

F. Zapata, and V. Kreinovich

    156.  The Cross Selections of Parametric Interval-Valued Fuzzy Variables

Y. Chen, and S. Shen


Volume 9  Number 1, February 2015

    001. Contents

    002. Editorial Board

    003.  A Hybrid Optimal Control Model

S. Jiwo, and E. Chikodza

    010.  Linear Programming Problems in Fuzzy Environment: The Post Optimal Analyses

M. Pattnaik

    017.  Uncertain Dynamic Systems on Time Scales

U.A. Hashmi, V. Lupulescu, and G. ur Rahman

    031.  Generalized N-Ideals of Subtraction Algebras

D.R. Prince Williams, and A. Borumand Saeid

    049.  A New Traffic Light Controller Using Fuzzy Logic for a Full Single Junction Involving Emergency Vehicle Preemption

H. Homaei, S.R. Hejazi, and S.A.M. Dehghan

    062.  Credibility Hypothesis Testing of Fuzzy Triangular Distributions

S. Sampath, and B. Ramya

    075.  Stochastic Optimization Methods for Sequential Decision Problems

C. Zhang


Volume 8 Number 4, November 2014 

    241. Contents

    243.  Uncertainty Theory and Its Applications

K. Yao, and J. Zhou

    244.  Multi-Dimensional Uncertain Calculus with Liu Process

K. Yao

    255.  Hierarchical Facility Location for the Reverse Logistics Network Design under Uncertainty

K. Wang, and Q. Yang

    271.  Expected Value-Based Method to Determine the Importance of Engineering Characteristics in QFD with Uncertainty Theory
J. Liu, S. Zhong, and M. Zhao

    285.  A Review on Uncertain Set

X. Yang, and J. Gao

    301.  Uncertain Random Approach to Multiobjective Programming Problem Based on Chance Theory

M. Zheng, Y. Yi, Z. Wang, and L. Yan

    309.  Efficient Solutions for Uncertain Random Multiobjective Programming Problem

Z. Wang, S.M. Taheri, M. Zheng, and P. Zhang

    317.  Geometric Average Asian Option Pricing for Uncertain Financial Market

Z. Zhang, and W. Liu


Volume 8  Number 3, August 2014 

    161. Contents

    163.  Preface

    164.  Why Trapezoidal and Triangular Membership Functions Work So Well: Towards a Theoretical Explanation

A. Barua, L.S. Mudunuri, and O. Kosheleva

    169.  Conservation of Energy Implies Conservation of Momentum: How We can Explain Conservation of Momentum to Before-Calculus Students

E. Freudenthal, E. Hagedorn, and O. Kosheleva

    173.  Minimization of Average Sensitivity as a Method of Selecting Fuzzy Functions and Operations: Successes and Limitations

R. George, S. Subramanian, A. Vega, and O. Kosheleva

    180.  On Early Stages of Idea Propagation, the Number of Adopters Grows as n(t) cta : Theoretical Explanation of the Empirical Observation

L.O. Lerma, D. Pennington, and V. Kreinovich

    186.  Note on Fair Price Under Interval Uncertainty

J. McKee, J. Lorkowski, and T. Ngamsantivong

    190.  Complete Description of Idempotent Hedges in Fuzzy Logic

J. Nava

    193.  Why a Model Produced by Training a Neural Network is Often More Computationally Efficient than a Nonlinear Regression Model: A Theoretical Explanation

J. Nava, and V. Kreinovich

    205.  (x2 + µ)1/2 is the Most Computationally Efficient Smooth Approximation to |x| : A Proof

C. Ramirez, R. Sanchez, V. Kreinovich, and M. Argaez

    211.  Images are Easier to Restore than 1-D Signals: A Theoretical Explanation of a Surprising Empirical Phenomenon

C. Servin, and V. Kreinovich

    216.  “Fuzzy” Multiple-Choice Quizzes and How to Grade Them

S. Shahbazova, and O. Kosheleva

    222.  Free Will in Non-Quantum Physics Implies that Either Energy-Momentum is Not Conserved or Symmetry is Violated

S. Tyagi, and O. Kosheleva

    227.  If Many Physicists are Right and No Physical Theory is Perfect, Then the Use of Physical Observations can Enhance Computations

M. Zakharevich, and O. Kosheleva

    233.  How to Faster Test a Device for Different Combinations of Parameters

F. Zapata, L. Gutierrez, and V. Kreinovich

    239.  Measure Generated by Joint Credibility Distribution Function

Y.K. Liu, and Y. Liu


Volume 8 Number 2, May 2014 

    081. Contents

    082. Editorial Board

    083. Under-investment Problem with Adverse Selection in Uncertain Environment

Y. Lu, Z. Huang, and J. Gao

    090. Projective Synchronization of Different Hyper-chaotic Systems by Active Nonlinear Control

A. Khan, and R.P. Prasad

    101. Optimization of Fuzzy Production and Financial Investment Planning Problems 

M. Xu

    109.  Hesitation Degree of Intuitionistic Fuzzy Sets in a New Cosine Similarity Measure

L. Abdullah, and W.K.W. Ismail

    116.  Offshore Decision-making Problems under Fuzzy Environment 

H. Ma

    123.  Uncertain Spectrum of Temperatures in a Non Homogeneous Fin under Imprecisely Defined Conduction-Convection System

S. Nayak, S. Chakraverty, and D. Datta

    136.  Optimization of System Reliability for Series System with Fuzzy Component Reliabilities by Genetic Algorithm

L. Sahoo, A.K. Bhunia, and S.K. Mahato

    149.  Approximate Solution of High Order Fuzzy Initial Value Problems

A.F. Jameel, M. Ghoreishi, and A.I.M. Ismail


Volume 8  Number 1, February 2014

    001. Contents

    002. Editorial Board

    003.  Uncertain Random Graph and Uncertain Random Network

B. Liu

    013.  Uncertain Core for Coalitional Game with Uncertain Payoffs

X. Yang, and J. Gao

    022.  Fuzzy Dot Subalgebras and Fuzzy Dot Ideals of B-algebras

T. Senapati, M. Bhowmik, and M. Pal

    031.  A New Heuristic Model for Fuzzy Transfer Point Location Problem

H. Kalantari, A. Badiee, and M. Ghazanfari

    044.  2-Vehicle Cost Varying Transportation Problem

A. Panda, and C.B. Das

    058.  Global Production Planning with Fuzzy Exchange Rates

J. Sun

    066.  Ranking Fuzzy Random Variables Based on New Fuzzy Stochastic Orders

R. Zarei, M. Amini, and A.H. Rezaei Roknabadi

    078.  Linear Combinations of T2 Fuzzy Variables

Y. Liu, and X. Bai


Volume 7 Number 4, November 2013 

    241. Contents

    243.  Equilibrium Mean Value of Random Fuzzy Variable and Its Convergence Properties

Y. Liu, and Y. Wang

    254.  Soft Matrices

S. Mondal, and M. Pal

    265.  A Least-Absolutes Regression Model for Imprecise Response Based on the Generalized Hausdorff-Metric

J. Chachi, and S.M. Taheri

    277.  Two-Stage Stochastic Programming Problems Involving Some Continuous Random Variables
S.K. Barik, M.P. Biswal, and D. Chakravarty

    289.  Rough Modular Lattice

S. Bera, and S.K. Roy

    294.  A Note on the Evolution of Solutions of a System of Ordinary Differential Equations with Fuzzy Initial Conditions and Fuzzy-Inputs

B. Dubey, and R.K. George

    303.  Existence and Uniqueness Theorems for Fuzzy Differential Equations

C. You, W. Wang, and H. Huo

    316.  The Treewidth of the Product of Special Structure Graph

A. Feng, C. Xu, and Y. Shang


Volume 7  Number 3, August 2013 

    161. Contents

    163.  Preface

    164.  How to Explain Usefulness of Different Results when Teaching Calculus: Example of the Mean Value Theorem

O. Kosheleva

    176.  In Quantum Physics, Free Will Leads to Nonconservation of Energy

V. Kreinovich

    179.  1 - x is the Only Polynomial Fuzzy Negation Operation

J. Nava

    181.  How to Gauge Random Error in Eddy Covariance Measurements

J. Nava, A. Jaimes, and C. Tweedie

    186.  Yager's Combination of Probabilistic and Possibilistic Knowledge: Beyond t-Norms

T. Ngamsantivong, and N. Buntao

    190.  Towards Model Fusion in Geophysics: How to Estimate Accuracy of Different Models

O. Ochoa, A. Velasco, and C. Servin

    198.  Derivation of Hill's Equation from Scale Invariance

A. Ortiz

    203.  Why l1 is a Good Approximation to l0: A Geometric Explanation

C. Ramirez, V. Kreinovich, and M. Argaez

    208.  Possible and Necessary Orders, Equivalences, etc.: From Modal Logic to Modal Mathematics

F. Zapata, and O. Kosheleva

    219.  A Hybrid Algorithm to Extract Fuzzy Measures for Software Quality Assessment

X. Wang, M. Ceberio, S. Virani, A. Garcia, and J. Cummins

    238.  A New Analog Optical Processing Scheme for Solving NP-Hard Problems

M. Zakharevich, and V. Kreinovich


Volume 7 Number 2, May 2013 

    081. Contents

    083. Modeling and Generating Multi-Variate-Attribute Random Vectors Using a New Simulation Method Combined with NORTA Algorithm

M.R. Niavarani, and A.J.R. Smith

    092. Intuitionistic Fuzzy Number and Its Arithmetic Operation with Application on System Failure

G.S. Mahapatra, and T.K. Roy

    108. Multicriteria Entropy Bimatrix Goal Game: A Fuzzy Programming Approach 

S.K. Roy and C.B. Das

    118.  The Dominated Convergence Theorems for Sequences of Integrable Fuzzy Random Variables

Y. Liu, W. Qian, and M. Yue

    129.  Linear Rank Tests for Two-Sample Fuzzy Data: A P-Value  Approach

G. Hesamian, and S.M. Taheri

    138.  Bipolar Aggregation Method for Fuzzy Nominal Classification Using Weighted Cardinal Fuzzy Measure (WCFM)

A.P. Tchangani

    152.  Generalized Fuzzy Filters (Ideals) of BE-Algebras

A. Rezaei, and A. Borumand Saeid


Volume 7  Number 1, February 2013

    001. Contents

    002. Editorial Board

    003.  Approximate Solutions of Set-Valued Stochastic Differential Equations

 J. Zhang, and S. Li

    013.  Fuzzy Multi-objective Optimization of a Synthesis Unit Utilizing Uncertain Data

H. Garg, and S.P. Sharma

    022.  Robust Capacitated Facility Location Problem: Optimization Model and Solution Algorithms 

R. Rahmaniani, M. Saidi-Mehrabad, and H. Ashouri

    036.  Scrutiny Malmquist Productivity Index on Fuzzy Data by Credibility Theory with an Application to Social Security Organizations

A. Payan, and M. Sharifi

    050.  Conditional Value-at-Risk Minimization in Finite State Markov Decision Processes: Continuity and Compactness

B. Yang

    058.  Optimizing Multiproduct Multiconstraint Inventory Control Systems with Stochastic Period Length and Emergency Order

A.A. Taleizadeh, S.T.A. Niaki, and G.J. Naini

    072.  Optimization of Insuring Critical Path Problem with Uncertain Activity Duration Times

Z. Li, and X. Dai


Volume 6 Number 4, November 2012 

    241. Contents

    243.  New Development of Uncertain Theory

L. Yang, and K. Ke

    244.  An Analytic Method for Solving Uncertain Differential Equations

Y.H. Liu

    250.  Uncertain Integral with respect to Multiple Canonical Processes

B. Liu, and K. Yao

    256.  B-Spline Method of Uncertain Statistics with Applications to Estimate Travel Distance
X. Chen, and D.A. Ralescu

    263.  Some Properties of Product Uncertain Measure

Z. Peng, and K. Iwamura

    270.  Aumann-Shapley Values on a Class of Cooperative Fuzzy Game

F. Wang, Y. Shang, and Z. Huang

    278.  Functions of Uncertain Variables and Uncertain Programming

Y. Zhu

    289.  Modeling Long-Memory Time Series with Sparse Autoregressive Processes

Y. Sun

    299.  Mean Semi-absolute Deviation Model for Uncertain Portfolio Optimization Problem

Y. Liu, and Z. Qin

    308.  On Generalized Intuitionistic Fuzzy Divergence (Relative Information) and Their Properties

R. Verma, and B.D. Sharma


Volume 6  Number 3, August 2012 

    161. Contents

    163.  Uncertainty Statistics

R. Guo, Y. Cui, and D. Guo

    186.  Statistical Hypotheses Testing in the Fuzzy Environment

M.G. Akbari

    200.  Multi-choice Stochastic Transportation Problem with Exponential Distribution

S.K. Roy, D.R. Mahapatra, and M.P. Biswal

    214.  Generalized Derivative of Fuzzy Nonsmooth Functions

M.H. Noori Skandari, H.R. Erfanian, and A.V. Kamyad

    223.  Existence and Uniqueness Theorem on Uncertain Differential Equations with Local Lipschitz Condition

Y. Gao

    233.  Value-at-Risk Criteria for Uncertain Portfolio Optimization Problem with Minimum Regret

Y. Chen, and Y. Liu


Volume 6 Number 2, May 2012 

    081. Contents

    083. Preface

    084. A New Justification for Weighted Average Aggregation in Fuzzy Techniques

J. Nava

    086. Efficient Geophysical Technique of Vertical Line Elements as a Natural Consequence of General Constraints Techniques

R. Cardenas, and M. Ceberio

    089. How Accurately Should We Write on the Board? When Marking Comments on Student Papers? 

M. Ceberio, and O. Kosheleva

    092.  Why Topology in Quantum Physics

C. Culellar, E. Longpré, and V. Kreinovich

    100.  A New Answer to Pauli's Question: Almost All Quantum States can be Uniquely Determined by Measuring Location and Momentum

D. Jackson, and O. Kosheleva

    104.  Towards a “Generic” Notion of Genericity: From “Typical” and “Random” to Meager, Shy, etc.

A. Jalal-Kamali, O. Nebesky, M.H. Durcholz, V. Kreinovich, and L. Longpré

    114.  When to Let in Late Students?

O. Kosheleva

    118.  I-complexity and Discrete Derivative of Logarithms: A Symmetry-based Explanation

V. Kreinovich, and J. Nava

    122.  Orthogonal Bases are the Best: A Theorem Justifying Bruno Apolloni's Heuristic Neural Network Idea

J. Nava, and V. Kreinovich

    128.  Towards More Detailed Value-added Teacher Assessments: How Intervals can Help

K. Villaverde, and O. Kosheleva

    138.  Computations Under Time Constraints: Algorithms Developed  for Fuzzy Computations can Help

K. Villaverde, O. Kosheleva, and M. Ceberio

    146.  Computation in Quantum Space-time Could Lead to a Super-polynomial Speedup

M. Zakharevich, and V. Kreinovich

    152.  How to Tell When a Product of Two Partially Ordered Spaces Has a Certain Property

F. Zapata, O. Kosheleva, and K. Villaverde


Volume 6  Number 1, February 2012

    001. Contents

    002. Editorial Board

    003.  Why is There a Need for Uncertainty Theory?

 B. Liu

    011.  Adaptive Synchronization of the Fractional-Order LÜ Hyperchaotic System with Uncertain Parameters and Its Circuit Simulation

S. Miao, S. Hua, and W. Hao

    020.  Online Particle Filtering of Stochastic Volatility 

H. Baili

    030.  Averaging of the Fuzzy Differential Equations

A.V. Plotnikov, and T.A. Komleva

    038.  A New Method for Multi-Objective Linear Programming Models with Fuzzy Random Variables

J. Nematian

    051.  Fuzzy Automata based on Lattice-Ordered Monoid and Associated Topology

S.P. Tiwari, A.K. Singh, and S. Sharan

    056.  CDS Pricing Formula in the Fuzzy Credit Risk Market

Y. Fu, J. Zhang, and Y. Wang

    061.  The Uncertainty Principle and Large-Genus Surfaces

S. Davis

    071.  Credibilistic Bi-Matrix Game

P. Mula, and S.K. Roy


Volume 5  Number 4, November 2011 

    241. Contents

    243.  Transmission Line Maintenance Scheduling Considering both  Randomness and Fuzziness

Y. Feng, W. Wu, B. Zhang, and J. Gao

    257.  Variable Precision Rough Set Model Based on Uncertain Measure

L. Li, M. Ha, and C. Wang

    263.  Chaos Control of a Non-linear Finance System

M. Yang, and G. Cai

    271.  Intuitionistic Fuzzy Optimization Technique for Nash Equilibrium Solution of Multi-objective Bi-Matrix Games
P.K. Nayak, and M. Pal

    286.  Uncertainty Linear Regression Models

R. Guo, Y. Cui, and D. Guo

    305.  Linear Fuzzy Differential Equations

N. Skripnik

    314.  An Extension of Risk Measures Using Non-Precise a-Priori Densities

M. Kageyama, T. Fujii, K. Kanefuji, and H. Tsubaki


Volume 5  Number 3, August 2011 

    161. Contents

    163.  B-spline Functional Link Network Adaptive Control for Hypersonic Vehicles Using Swarm Intelligent Optimizer

Y. Du, Q. Wu, C. Jiang, and L.Cheng

    175.  Fuzzy Availability Computation of Semi-Markovian Mechatronic System Using Hybrid Approach

R. Prabhu Gaonkar, U. Amonkar, M. Sakhardande, and V. Kamat

    183.  Software Testing Effort: An Assessment Through Fuzzy Criteria Approach

P.R. Srivastava, S. Kumar, A.P. Singh, and G. Raghurama

    202.  A Fuzzy Multi-objective Programming for Optimization of Hierarchical Service Centre Locations

A. Pahlavani, and M.S. Mehrabad

    227.  Some New Results about Arithmetic of Type-2 Fuzzy Variables

Y. Chen, and L. Zhang


Volume 5  Number 2, May 2011 

    081. Contents

    083. Preface

    084. Towards Simpler Description of Properties like Commutativity and Associativity: Using Expression Fragments

S. Datta, V. Fierro, K. Petrov, J. Romo, G. Ramirez, and C. Valenzuela

    090. Expanding Algorithmic Randomness to the Algebraic Approach to Quantum Physics: Kolmogorov Complexity and Quantum Logics

V. Kreinovich

    096. Uncertainty in Partially Ordered Sets as a Natural Generalization of Intervals: Negative Information is Sufficient, Positive is Not 

D. Mireles, and O. Kosheleva

    102.  Why Feynman Path Integration?

J. Nava, J. Ferret, V. Kreinovich, G. Berumen, S. Griffin, and E. Padilla

    111.  Equivalence of Gian-Carlo Rota Poset Approach and Taylor Series Approach Extended to Variant Ligands

J. Nava, and V. Kreinovich

    119.  Towards a Fast, Practical Alternative to Joint Inversion of Multiple Datasets: Model Fusion

O. Ochoa, A.A. Velasco, and C. Servin

    137.  Power Law Regularization in Probabilistic Inverse Problems: a Theoretical Justification

K. Petcharat, P. Paichit, and S. Niwitpong

    141.  Mathematical Aspects of Grading Student's Homework in On-Line Web Applications

A. Pownuk

    154.  Strings Lead to Lattice-Type Causality

F. Zapata, E. Ramirez, J.A. Lopez, and O. Kosheleva


Volume 5  Number 1, February 2011

    001. Contents

    003.  Uncertain Logic for Modeling Human Language

 B. Liu

    021. The Use of Earned Value Analysis in Production Control with Uncertainty Conditions

A. Zareei, M. Bagherpour, and S. Noor

    033.  On Another Decomposition of Fuzzy Automata 

A.K. Srivastava, and S.P. Tiwari

    038.  Stochastic Analysis of Noncompliance with Drug Therapy

H. Baili

    045.  Testing Fuzzy Hypotheses Using Fuzzy Data Based on Fuzzy Test Statistic

M. Arefi, and S.M. Taheri

    062.  A Simple and Efficient Goal Programming Model for Computing of Fuzzy Linear Regression Parameters with Considering Outliers

H. Omrani, S. Aabdollahzadeh, and M. Alinaghian

    072.  Rough Set Approach on Lattice

D. Rana, and S.K. Roy


Volume 4  Number 4, November 2010 

    241. Contents

    244. A Faster Algorithm for Computing the Sum of p-Boxes

J. Busaba, S. Suwan, and O. Kosheleva

    250. A Possible Way to Avoid Heat Death

N. Buntao, N. Katemee, and V. Kreinovich

    257. Computing with Tensors: Potential Applications of Physics-Motivated Mathematics to Computer Science

M. Ceberio, and V. Kreinovich

    261.  Selecting the Best Location for a Meteorological Tower: A Case Study of Multi-Objective Constraint Optimization
Aline Jaimes, Craig Tweedie, Tanja Magoc, Vladik Kreinovich, Martine Ceberio

    270.  Discrete Taylor Series as a Simple Way to Predict Properties of Chemical Substances like Benzenes and Cubanes

J. Nava, V. Kreinovich, G. Restrepo, and D.J. Klein

    291.  Towards Optimal Allocation of Points to Different Assignments and Tests

S. Niwitpong, M. Chiangpradit, and O. Kosheleva

    296.  From Abstract Natural Numbers to Physical Natural Numbers: A Probabilistic Approach

W. Panichkitusolkul, S. Nontanum, S. Niwitpong, and W. Suracherdkiati

    301.  How to Estimate Individual Contributions to a Group Project

J. Sappakitkamjorn, W. Suriyakat, W. Suracherdkiati, and O. Kosheleva

    306.  Random Utility Functions are Uniquely Determined by User Preferences

S. Thepsumritporn, N. Nangsue, and O. Kosheleva

    312.  Beyond Intervals: Phase Transitions Lead to More General Ranges

K. Villaverde, and G. Ornelas


Volume 4  Number 3, August 2010 

    161. Contents

    163. Uncertain Risk Analysis and Uncertain Reliability Analysis

B. Liu

    171. Eigen Fuzzy Sets and a Genetic Algorithm for Image Information Reconstruction

F. Di Martino, and S. Sessa

    181. Expected Value of Function of Uncertain Variables

Y. Liu, and M. Ha

    187.  A Minkowski Type Inequality for Fuzzy Integrals

H. Agahi, and M.A. Yaghoobi

    195.  Adaptive Control for Anticipated Function Projective Synchronization of 2D Discrete-time Chaotic Systems with Uncertain Parameters

Y. Li, and T. Deng

    206.  Solving Fuzzy Nonlinear Equations by a General Iterative Method

A. Garg, and S.R. Singh

    216.  Data Representativeness Based on Fuzzy Set Theory

F. Blanchard, P. Vautrot, H. Akdag, and M. Herbin

    229.  The Possibilistic Representative Value of Type-2 Fuzzy Variable and Its Properties

Y. Chen, and X. Wang


Volume 4  Number 2, May 2010 

    081. Contents

    083. Uncertain Set Theory and Uncertain Inference Rule with Application to Uncertain Control

B. Liu

    099. Non-Archimedean Valued Extension of Logic and a  -Adic Valued Extension of Logic BL

A. Schumann

    116. Designing Location-Allocation Model in a Service Network Considering Chance-Constrained Programming: A Queuing Based Analysis 

V.R. Ghezavati

    123.  A Resource-Constrained Project Scheduling Problem with Fuzzy Random Duration

J. Nematian, K. Eshghi, and A. Eshragh-Jahromi

    133.  A New Multi-objective Approach in Distribution Centers Location Problem in Fuzzy Environment

A. Jafari, M. Sharif-Yazdi, and M. Jafarian

    147.  Using Adaptive Nero-Fuzzy Systems to Monitor Linear Quality Profiles

M.H. Fazel Zarandi, and A. Alaeddini


Volume 4  Number 1, February 2010  Contents (pdf)  and papers (pdf)

    001. Contents

    004.  Disjoint Programming in Computational Decision Analysis

 X. Ding, M. Danielson, and L. Ekenberg

    014. A Splitting Technique for Discrete Search based on Convex Relaxation

M. Fuchs, and A. Neumaier

    022.  Lambda Algorithm 

Y. Cui, R. Guo, and D. Guo

    034.  Uncertainty and Risk Analysis in Information System Projects Development

Y. M. Chen, M.-J. Goan, and P.-R. Cheng

    047.  Numerical Calculation of Economic Uncertainty by Intervals and Fuzzy Numbers

H. Schjær-Jacobsen

    059.  Linear Fuzzy Regression Using Trapezoidal Fuzzy Intervals

A. Bisserier, R. Boukezzoula, and S. Galichet

    073.  Different Types of Convergence for Random Variables with Respect to Separately Coherent Upper Conditional Probabilities Defined by  Hausdorff Outer Measures

S. Doria


Volume 3  Number 4, November 2009

    241. Contents

    243. Uncertain Entailment and Modus Ponens in the Framework of Uncertain Logic 

B. Liu

    252. Rough Set Model based on Uncertain Measure

D. Tian, L. Wang, J. Wu, and M. Ha

    257. Selectability/Rejectability Measures Approach for Nominal Classification

A.P. Tchangani

    270. A Fuzzy Optimal Control Model

Y. Zhu

    280. For a Data-Driven Interpretation of Rules, wrt GMP Conclusions, in Abductive Problems

A. Revault d'Allonnes, H. Akdag, and B. Bouchon-Meunier

    298. Implementation of the Extended Fuzzy C-Means Algorithm in Geographic Information Systems

F. Di Martino, and S. Sessa

    307. A Numerical Scheme for Fuzzy Cauchy Problems

O.S. Fard

    315. Designing Cellular Manufacturing Systems under Uncertainty

M. Saidi-Mehrabad, and V.R. Ghezavati


Volume 3  Number 3, August 2009

    161. Contents

    163. A Fuzzy Programming for Optimizing Multi Response Surface in Robust Designs 

M. Bashiri, and S.J. Hosseininezhad

    174. A Fuzzy Signal Controller for Isolated Intersections

M.H.F. Zarandi, and S. Rezapour

    183. Safe Approximation for Optimization with First Order Stochastic Dominance Constraints

A. Ahmadi Javid, and N. Kazemzadeh

    192. Anti-synchronization Between Two Different Hyperchaotic Systems

M.M. Al-sawalha, and M.S.M. Noorani

    201. Fuzzy Based Genetic Algorithm for Multicriteria Entropy Matrix Goal Game

S.K. Roy, and C.B. Das

    210. A Default Probability Estimation Model: An Application to Japanese Companies

M. Miyake, and H. Inoue

    221. Vendor Selection Using a New Fuzzy Group TOPSIS Approach

K. Shahanaghi, and S.A. Yazdian

    232. Rough Set and Data Analysis in Decision Tables

J.H. Nasiri, and M. Mashinchi


Volume 3  Number 2, May 2009

    081. Contents

    083. Hybrid Logic and Uncertain Logic 

X. Li, and B. Liu

    095. A Web Content Management System for a Geo-Archeological Research Program

S. Rampone

    108. Development of Linear Programming Technique for Multidimensional Analysis of Preference in Fuzzy Environment

A. Yousefli, M. Heydari, and K. Shahanaghi

    114. A Heuristic Algorithm for Minimizing the Expected Makespan in Two-Machine Flow Shops with Fuzzy Processing Time

S.R. Hejazi, S. Emami, and A. Arkan

    123. Designing a Supply Chain Network Model with Uncertain Demands and Lead Times

M.S.J. Ameli, N. Azad, and A. Rastpour

    131. A Robust Approach to Location-Allocation Problem under Uncertainty

V.R. Ghezavati, M. Saidi-Mehrabad, and S.J. Sadjadi

    137. A Novel Hyperchaotic System and Its Control

J. Xu, G. Cai, and S. Zheng

    145. Variance Formulas for Trapezoidal Fuzzy Random Variables

F.F. Hao, and R. Qin


Volume 3  Number 1, February 2009  Contents (pdf)  and papers (pdf)

    001. Contents

    003.  Some Research Problems in Uncertainty Theory

 Baoding Liu

    011. Direct and Inverse Fuzzy Transforms for Coding/Decoding Color Images in YUV Space

F. Di Martino, V. Loia, and S. Sessa

    031.  DEAR ModelThe Theoretical Foundation 

R. Guo, D. Guo, T. Dunne, and C. Thiart

    052.  It o Type Set-Valued Stochastic Differential Equation

J. Li, and S. Li

    064.  An Outline for a Heuristic Approach to Possibilistic Clustering of the Three-Way Data

D.A. Viattchenin


Volume 2  Number 4, November 2008 

    243. A New Stock Model for Credibilistic Option Pricing

Jinwu Gao, and Xin Gao

    248. A General Stock Model for Fuzzy Markets

Jin Peng

    255. Multi-criteria Decision Making by Incomplete Preferences 

L.V. Utkin, and N.V. Simanova

    267. Classical Belief Conditioning and its Generalization to DSm Theory

M. Daniel

    280. Reliability Estimation of Complex Technical Systems with Dependency Modelling: A Fuzzy Approach

E.V. Kumar, and S.K. Chaturvedi

    289. Using Fuzzy Delphi Method in Maintenance Strategy Selection Problem

A. Jafari, M. Jafarian, A. Zareei, and F. Zaerpour

    299. Computing the Mean Chance Distributions of Fuzzy Random Variables

Rui Qin, and Fang-Fang Hao

    313. Plane Side Distance and Stochastic Matter

Xuewen Xia

 Volume 2  Number 3, Aug 2008  Contents (pdf)  and papers (pdf)

        Special Issue on Advances in Uncertainty Theories and its Applications”

    161. Contents

    162. Editorial Board

    163. Preface

    165. Monkey Algorithm for Global Numerical Optimization

 R. Zhao, and W. Tang

    177. Scalar Fuzzy Regression Models

 R. Guo, D. Guo, and C. Thiart

    187. Foundations of Fuzzy Bayesian Inference 

 R. Viertl

    192. Generating Correlation Matrices for Normal Random Vectors in NORTA Algorithm Using Artificial Neural Networks

 S.T.A. Niaki, and B. Abbasi

    202. Defining and Modeling Uncertainty

 E.v. Collani

    212. An Algorithm for Discovery of Fuzzy Inclusion Dependencies in Fuzzy Databases

 A.K. Sharma, A. Goswami, and D.K. Gupta

    223. Modelling Uncertainty in Refutation Selection A POMDP Based Approach

 G.S. Mahalakshmi, and, T.V. Geetha


Volume 2  Number 2, May 2008  Contents (pdf)  and papers (pdf)

        Special Issue on “Uncertainty-based Technologies for Ambient Intelligence Systems”

    081. Contents

    082. Editorial Board

    085. Occupant Behaviour Prediction in Ambient Intelligence Computing Environment

 M.J. Akhlaghinia, A. Lotfi, C. Langensiepen, and N. Sherkat

    101. Fuzzy Comfort and its Use in the Design of an Intelligent Coordinator of Fuzzy Controller-Agents for Environmental Conditions Control in Buildings

 A.I. Dounis, and C. Caraiscos

    113. Computational Intelligence and Agent Paradigm for Intelligent Tunnels Design 

 V. Galdi, V. Loia, A. Piccolo, and V. Mario

    123. Using Fuzzy Logic to Monitor the State of an Ubiquitous Robotic System

 D. Guarino, and A. Saffiotti

    133. Intelligent Association Exploration and Exploitation of Fuzzy Agents in Ambient Intelligent Environments

 H. Duman, H. Hagras, and V. Callaghan

    144. A Fuzzy Action Selection Method for Virtual Agent Navigation in Unknown Virtual Environments

 J. Jaafar, and E. McKenzie

Regular Paper

    155. T-Independence Condition for Fuzzy Random Vector Based on Continuous Triangular Norms

 S. Wang, and J. Watada


Volume 2  Number 1, February 2008  Contents (pdf)  and papers (pdf)

    001. Contents

    002. Editorial Board

    003. Fuzzy Process, Hybrid Process and Uncertain Process

 Baoding Liu

    017. Option Pricing Formula for Fuzzy Financial Market

 Zhongfeng Qin, and Xiang Li

    022. An Application of Possibility Goal Programming to the Time-Cost Trade off Problem 

 M. Ghazanfari, K. Shahanaghi, and A. Yousefli

    031. PDEMR Modelling of the Protea Rare Species Spatial Patterns

 R. Guo, D. Guo, G. F. Midgley, and A. G. Rebelo

    054. Reinforcement Learning for Fuzzy Control with Linguistic States

 M. H. F. Zarandi, J. Jouzdani, and M. F. Zarandi

    067. Projective Synchronization of a New Chaotic System

 Guoliang Cai, and Song Zheng

    075. A New Heuristic Model for Fully Fuzzy Project Scheduling

 A. Yousefli, M. Ghazanfari, K. Shahanaghi, and M. Heydari


Volume 1  Number 4, November 2007  Contents (pdf)  and papers (pdf)

Special Section in Memory of I. Ya. Verebeichik

    241. Contents

    242. Editorial Board

    243. In Memoriam

    244. Preface

    246. On One Inverse Problem in Financial Mathematics

 K. Hamza and F. Klebaner

    256. Towards A More Physically Adequate Definition of Randomness: A Topological Approach

 V. Kreinovich

    267. Russian Conjunctions: Two Types of Uncertainty

 A. Israeli

    277. Modeling and Optimization of Film Deposition by Magnetron Sputtering

 A. Axelevitch and G. Golan

Regular Papers

    291. Guaranteed Cost Fuzzy Output Feedback Control Via LMI Method for Re-entry Attitude Dynamics

 Y. H. Wang, Q. X. Wu, C. S. Jiang and G. Y. Huang

    303. Bivariate Credibility-Copulas

 R. Guo, D. Guo, C. Thiart and X. Li

    315. The Admissibility of the Linear Model under Quadratic Loss Function

 W. L. Huang and Y. Gao


Volume 1  Number 3, August 2007  Contents (pdf)  and papers (pdf)

    161. Contents

    162. Editorial Board

    163. Type-2 Fuzzy Sets for Pattern Recognition: The State-of-the-Art

 Jia Zeng and Zhi-Qiang Liu

    178. Russian Peasant Multiplication Algorithm, RSA Cryptosystem, and a New Explanation of Half-Orders of Magnitude

 J. Ivan Vargas and Olga Kosheleva

    185. On the Continuity and Absolute Continuity of Credibility Functions

 Shuming Wang,Ying Liu, and Xiao-Dong Dai

    201. Towards a General Description of Physical Invariance in Category Theory

John Symons, Julio C. Urenda and Vladik Kreinovich

    207. Assessment of Uncertainty in Geological Sites Based on Data Clustering and Conditional Probabilities

Bulent Tutmez and A. Erhan Tercan

    222. Random Fuzzy Variable Modeling on Repairable System

 R. Guo, R.Q. Zhao, D. Guo, and T. Dunne

    235. Chaos Synchronization of a New Chaotic System via Nonlinear Control

 Guoliang Cai and Zhenmei Tan


Volume 1  Number 2, May 2007  Contents (pdf)  and papers (pdf)

     81. Contents

     82. Editorial Board

     83. Aims and Scope

     84. To Properly Reflect Physicists' Reasoning about Randomness, We Also Need a Maxitive (Possibility) Measure and a General Notion of Boundedness

A.M. Finkelstein, O. Kosheleva, T. Magoc, E. Madrid, S.A. Starks, and J. Urenda

    109. A Smart Query Formulation for an Efficient Web Search

G. Fenza, V. Loia and S. Senatore

    124. Fuzzy Mathematical Programming: Theory, Applications and Extension

M.K. Luhandjula

    137. Some Inequalities Between Moments of Credibility Distributions

J. Liu and Y. Zhu

    148. On the Continuity and Convexity Analysis of the Expected Value Function of a Fuzzy Mapping

C. Wang, W. Tang and R. Zhao


Volume 1  Number 1, February 2007  Contents (pdf)  and papers (pdf)

       1. Contents

       2. Editorial Board

       3. Message from Editors

       4. A Survey of Entropy of Fuzzy Variables

Baoding Liu

     14. How to Take into Account Dependence between the Inputs: From Interval Computations to Constraint-Related Set Computations, with Potential Applications to Nuclear Safety, Bio- and Geosciences

M. Ceberio, S. Ferson, V. Kreinovich, S. Chopra, G. Xiang, A. Murguia and J. Santillan

     38. Granular Computing - The Emerging Paradigm

W. Pedrycz

     62. On a Continuous Lattice Approach to Modeling of Coarse Data in System Analysis

H. T. Nguyen and H. Tran

     74. Credibilistic Game with Fuzzy Information

Jinwu Gao




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