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)
Some aspects on computation of scalar valued and fuzzy valued integrals over fuzzy domains

A. Khastan; R. Rodriguez-Lopez

Volume 20, Issue 3 , May and June 2023, Pages 1-17

Abstract
  In this note, we consider the problem of computing a scalar-valued, and also a fuzzy-valued integral over fuzzy spatial domains, which is useful, for instance, to calculate  fuzzy areas described by a certain property, allowing the density function to be variable, or evaluate magnitudes in the case ...  Read More

Heuristics-based modelling of human decision process

M. Aggarwal; A. F. Tehrani

Volume 20, Issue 3 , May and June 2023, Pages 19-30

Abstract
  Attitudinal Choquet integral (ACI) is a recent aggregation operator thatconsiders in the aggregation process the criteria interaction and the DM's attitude, both of which arespecific to the decision-maker. However, this capability comes at the cost of increasedcomplexity that hinders its applicability ...  Read More

Diaz-Metcalf type inequality for Sugeno and pseudo-integrals

M. R. Karimzadeh; B. Daraby; A. Rahimi

Volume 20, Issue 3 , May and June 2023, Pages 31-41

Abstract
  In this paper, we have proved Diaz-Metcalf inequality for fuzzy integrals. More precisely:\\If $f, g: [0, 1]\to\mathbb{R}$ are continuous and strictly increasing functions, then the fuzzy integral inequality$$ - \hspace{-1em} \int_0^1 f^s d\mu\cdot  - \hspace{-1em} \int_0^1  g^sd\mu\le  - ...  Read More

On existence and stability results to fuzzy Caputo fractional differential inclusions driven by fuzzy mixed quasivariational inequalities

V. M. Tam

Volume 20, Issue 3 , May and June 2023, Pages 43-59

Abstract
  In this paper, we consider a generalized fuzzy differential system (GFDS) consisting of a fuzzy Caputo fractional differential inclusion    combined with a fuzzy mixed quasivariational inequality. The GFDS has been known as a framework of fuzzy fractional differential quasivariational inequalities ...  Read More

Weighted K-nearest neighbors classification based on Whale optimization algorithm

S. Anvari; M. Abdollahi Azgomi; M. R. Ebrahimi Dishabi; M. Maheri

Volume 20, Issue 3 , May and June 2023, Pages 61-74

Abstract
  K-Nearest Neighbors (KNN) is a classification algorithm based on supervised machine learning, which works according to a voting system. The performance of the KNN algorithm depends on different factors, such as unbalanced distribution of classes, the scalability problem, and considering equal values ...  Read More

Fuzzy accompanied approximation space under fuzzy relation

L. W. Ma; Q. Gao; X. Y. Shi; X. C. Zhao

Volume 20, Issue 3 , May and June 2023, Pages 75-94

Abstract
  If there is a fuzzy relation $\widetilde{R}$ between two spaces $U$ and $V$, the fuzzy approximations in both spaces based on $\widetilde{R}$ are widely studied, and they basically reflect only the influence from one space to another. In this paper, on each space of $U$ and $V$, two new fuzzy relations ...  Read More

A new extension of a triangular norm on a subinterval $[0,\alpha]$ via an interior operator to the underlying entire bounded lattice

B. Wu; H. Zhou

Volume 20, Issue 3 , May and June 2023, Pages 95-113

Abstract
  As a proper generalization of the ordinal sum t-norm construction on bounded lattices proposed in [E. A\c{s}{\i}c{\i}, R. Mesiar, New constructions of triangular norms and triangular conorms on an arbitrary bounded lattice, International Journal of General Systems, {\bf 49}(2) (2020), 143-160], the present ...  Read More

The general algebraic solution of fuzzy linear systems based on a block representation of {1}-inverses

V. Miler Jerkovic; B. Mihailovic; B. Malesevic

Volume 20, Issue 3 , May and June 2023, Pages 115-126

Abstract
  A new method for solving a fuzzy linear system (FLS), $A\tilde X=\tilde Y$, where the coefficient matrix $A$ is an arbitrary real matrix is obtained. A necessary and sufficient condition for the ${\cal R}$-consistency of the associated system of linear equations is obtained, related to itsrepresentative ...  Read More

Forward and backward fuzzy rule base interpolation using fuzzy geometry

S. Das; D. Chakraborty; L. T. Koczy

Volume 20, Issue 3 , May and June 2023, Pages 127-146

Abstract
  Fuzzy rule interpolation (FRI) predicts an accountable outcome of a possible course of action in sparse fuzzy rule base system (FRBS). The geometry based linear fuzzy rule interpolation (GLFRI) is extended for multi-dimensional fuzzy rule base interpolation. Expansion/contraction (EC) of triangular, ...  Read More

Weighted approximation of fuzzy numbers by using m-n-step type fuzzy number

Y. Zhu; G. X. Wang; C. J. Li

Volume 20, Issue 3 , May and June 2023, Pages 147-158

Abstract
  In this paper, based on the weighted metric, the problem of approximating a general continuous fuzzy number $u$ with derivable $\underline{u}(r)$ and $\overline{u}(r)$ (left and right cut functions of level value $r$) for $r \in (0,1]$ by using the $m-n-$step type fuzzy number is studied. Two kinds of ...  Read More

A new copula-based bivariate Gompertz--Makeham model and its application to COVID-19 mortality data

M. Esfahani; M. Amini; G. R. Mohtashami-Borzadaran; A. Dolati

Volume 20, Issue 3 , May and June 2023, Pages 159-175

Abstract
  One of the useful distributions in modeling mortality (or failure) data is the univariate Gompertz--Makeham distribution. To examine the relationship between the two variables, the extended bivariate Gompertz--Makeham distribution is introduced, and its properties are provided. Also, some reliability ...  Read More

Probabilistic fuzzy argumentation frameworks with finite fuzzy statuses

J. C. Wu; H. F. Li; X. Y. Liu

Volume 20, Issue 3 , May and June 2023, Pages 177-189

Abstract
  Randomness and fuzziness of argumentation have attracted the interest of many researchers.However, though each of these two properties is discussed in the past, seldom literature considers both of them.The purpose of this paper aims to explore semantics of the argumentation frameworks with these two ...  Read More

Type-2 lattice-valued preorders: A common framework of lattice-valued preorders and various kinds of metrics

W. Yao; G. X. Zhang; Y. Shi

Volume 20, Issue 3 , May and June 2023, Pages 191-203

Abstract
  The aim of this paper is to introduce a concept of type-2 $L$-preorders for $L$ being a complete residuated lattice. It can be considered as a common framework of $L$-preorders and hemimetrics, and also contains various kinds of fuzzy metrics, including Morsi fuzzy metrics, KM-fuzzy metrics and modular ...  Read More