Volume 23 (2026)
Volume 22 (2025)
Volume 21 (2024)
Volume 19 (2022)
Volume 18 (2021)
Volume 17 (2020)
Volume 16 (2019)
Volume 15 (2018)
Volume 14 (2017)
Volume 13 (2016)
Volume 12 (2015)
Volume 11 (2014)
Volume 10 (2013)
Volume 9 (2012)
Volume 8 (2011)
Volume 7 (2010)
Volume 6 (2009)
Volume 5 (2008)
Volume 4 (2007)
Volume 3 (2006)
Volume 2 (2005)
Volume 1 (2004)
Fuzzy Math
Interval-valued fuzzy logical connectives with respect to admissible orders

Xingxing He; Yingfang Li; Bin Yang

Volume 20, Issue 4 , July and August 2023, Pages 1-19

Abstract
  In this work, we examine several widely-used interval-valued fuzzy logical connectives with respect to admissible orders. We are concerned with interval-valued fuzzy negations, automorphisms, fuzzy implications and aggregation functions with respect to $K_{\alpha,\beta}$ orders and arbitrary intervals ...  Read More

Soft/Rough sets
The bilateral fuzzy soft set and its application in multi-criteria multi-person decision making under conflict information

Yuan Zou; li wei Wang

Volume 20, Issue 4 , July and August 2023, Pages 21-37

Abstract
  Fuzzy soft set is a general mathematical tool to deal with uncertain and fuzziness information. But inadequacy lies in which cannot express various uncertainty in a more natural and accurate manner, due to the reason of adopting the fuzzy membership which restricts to [0, 1]. As a result, it merely concerns ...  Read More

Decision Making
Consistency fuzzy cross entropy based VIKOR approach for multi-criteria decision making

Ezgi Türkarslan; Jun Ye; Mehmet Unver; Murat Olgun

Volume 20, Issue 4 , July and August 2023, Pages 39-56

Abstract
  The primary aim of the notion of consistency fuzzy set (CFS) is to model the uncertain information given in a fuzzy multi environment and so to obtain meaningful data from the fuzzy multi-sets and to present this data in a compact form via some statistical tools. The data collected by fuzzy multi-sets ...  Read More

Fuzzy approximation
Distributed Adaptive Iterative Learning Exact Consensus for Nonlinear Strict-feedback Multi-agent Systems with Unknown Control Directions

Mengdan Liang; Junmin Li

Volume 20, Issue 4 , July and August 2023, Pages 57-74

Abstract
  This paper investigates a novel distributed fuzzy adaptive iterative learning control protocol of exact consensus for second-order unknown nonlinear strict-feedback multi-agent systems with partially unknown time-varying control directions. Fuzzy logic system estimates the unknown nonlinear dynamics ...  Read More

Fuzzy Math
A note on the ordinal sum of triangular norms on bounded lattices

Tingsu Y Yan; Yao Y Ouyang

Volume 20, Issue 4 , July and August 2023, Pages 75-80

Abstract
  The ordinal sum construction is an important way to generate new triangular norms (t-norms for short) on real unit interval from existing ones. Saminger extended the ordinal sum construction of t-norms to bounded lattices in a direct way and proved that, except for very special cases the ordinal sum ...  Read More

Fuzzy modelling
Binary option pricing formulas for fuzzy financial market based on the exponential Ornstein-Uhlenbeck model

Xinyue Wei; Cuilian You; Xinyue Liang

Volume 20, Issue 4 , July and August 2023, Pages 81-95

Abstract
  Binary option is an exotic option which is popular in Over the Counter market for hedging and speculation. According to their different payoff, there are two types of binary options, that is, cash-or-nothing and asset-or-nothing option. This paper investigates the fuzzy financial market based on the ...  Read More

Approximate Reasoning
An addendum to ``Construction of 2-uninorms on bounded lattices''

Ya-Ming Wang

Volume 20, Issue 4 , July and August 2023, Pages 97-102

Abstract
  In this work, we supplement two methods to construct a 2-uninorm on a bounded lattice using two uninorms, and illustrate that the method proposed by Ertugrul is a special case of the new ones. Furthermore, the relationships between 2-uninorms on bounded lattices obtained by all existing methods are showed ...  Read More

Fuzzy Math
A Hybridized Correlation Coefficient Technique and its Application in Classification Process under Intuitionistic Fuzzy Setting

Paul Augustine Ejegwa; Chinelo Francisca Ajogwu; Arun Sarkar

Volume 20, Issue 4 , July and August 2023, Pages 103-120

Abstract
  Intuitionistic fuzzy set (IFS) is a reliable device for resolving uncertainty and haziness encountered in decision-making process. In most cases, the significance of IFSs are explored based on correlation measures in myriad of areas like in engineering, image segmentation, pattern recognition, diagnosticanalysis, ...  Read More

Approximate Reasoning
On the modularity equation for overlap (grouping) functions and semi-t-operators

Yafei Cheng; Bin Zhao

Volume 20, Issue 4 , July and August 2023, Pages 121-136

Abstract
  Modularity equation plays an important role in the eld of information fusion, which helps to selectaggregation functions and reduce the failure rate in the process of aggregation. Based on this, we focus on the study of modularity equation between overlap (grouping) functions and semi-t-operators. We ...  Read More

Fuzzy Math
On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms

Bo Zhang; Lijuan Wan; Chun Yong Wang

Volume 20, Issue 4 , July and August 2023, Pages 137-152

Abstract
  This paper characterizes a uninorm distributive over a noncontinuous t-(co)norm, where the uninorm is locally internal on the boundary. Firstly, when the uninorm is disjunctive, the necessary conditions (resp. the sufficient conditions) for a uninorm distributive over a noncontinuous t-norm are analyzed ...  Read More

Fuzzy Math
Lattice Expansion of Fuzzy Concepts

Dmitry Maximov

Volume 20, Issue 4 , July and August 2023, Pages 153-164

Abstract
  The concept of a fuzzy number is expanded to the case of a finite carrier set of partially ordered elements; the set is a lattice, and the membership function of such an expansion also takes values in a lattice. Zadeh's extension principle for determining the degree of membership of a function of fuzzy ...  Read More

Fuzzy Math
Characterization of Bivariate Quadratic Transformations of Quasi-copulas

Pattira Tongjundee; Varayut Boonyasri; Santi Tasena

Volume 20, Issue 4 , July and August 2023, Pages 165-178

Abstract
  In this study, we focus on bivariate transformations of trivariate quasi-copulas. We characterize necessary and sufficient conditions of transformations that can be written in the form of compositions between two quasi-copulas and a quadratic polynomial function. The conditions only depend on the coefficients ...  Read More

Fuzzy Math
Subcategories of the category of stratified $(L,M)$-semiuniform convergence tower spaces

Lin Zhang; Bin Pang; Wenbo Li

Volume 20, Issue 4 , July and August 2023, Pages 179-192

Abstract
  In this paper, we propose the concepts of stratified (L,M)-semiuniform convergence spaces and stratified (L,M)-semiuniform limit tower spaces. It is shown that (1) the category S(L,M)-SUC of stratified (L,M)-semiuniform convergence spaces can be embedded in the category S(L,M)- SUCT of stratified (L,M)-semiuniform ...  Read More