Volume 23 (2026)
Volume 22 (2025)
Volume 21 (2024)
Volume 20 (2023)
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)
Number of Articles: 10
POINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS
Volume 15, Issue 2 , March and April 2018, Pages 1-21
Abstract
We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the classical ones for continuous real-valued functions. ... Read MoreL-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS
Volume 15, Issue 2 , March and April 2018, Pages 23-40
Abstract
The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is bireflective in the category ... Read MoreBASES AND CIRCUITS OF FUZZIFYING MATROIDS
Volume 15, Issue 2 , March and April 2018, Pages 41-52
Abstract
In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. ... Read MoreQUANTALE-VALUED SUP-ALGEBRAS
Volume 15, Issue 2 , March and April 2018, Pages 53-73
Abstract
Based on the notion of $Q$-sup-lattices (a fuzzy counterpart of complete join-semilattices valuated in a commutative quantale), we present the concept of $Q$-sup-algebras -- $Q$-sup-lattices endowed with a collection of finitary operations compatible with the fuzzy joins. Similarly to the crisp case ... Read MoreBASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES
Volume 15, Issue 2 , March and April 2018, Pages 75-87
Abstract
Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $\mathscr{B}$ (resp. $\varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with $\mathscr{B}$ ... Read MoreON THE MATCHING NUMBER OF AN UNCERTAIN GRAPH
Volume 15, Issue 2 , March and April 2018, Pages 89-108
Abstract
Uncertain graphs are employed to describe graph models with indeterministicinformation that produced by human beings. This paper aims to study themaximum matching problem in uncertain graphs.The number of edges of a maximum matching in a graph is called matching numberof the graph. Due to the existence ... Read MoreRESOLUTION OF NONLINEAR OPTIMIZATION PROBLEMS SUBJECT TO BIPOLAR MAX-MIN FUZZY RELATION EQUATION CONSTRAINTS USING GENETIC ALGORITHM
Volume 15, Issue 2 , March and April 2018, Pages 109-131
Abstract
This paper studies the nonlinear optimization problems subject to bipolar max-min fuzzy relation equation constraints. The feasible solution set of the problems is non-convex, in a general case. Therefore, conventional nonlinear optimization methods cannot be ideal for resolution of such problems. Hence, ... Read MoreSOME PROPERTIES OF UNCERTAIN INTEGRAL
Volume 15, Issue 2 , March and April 2018, Pages 133-142
Abstract
Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties ... Read MorePOWERSET OPERATORS OF EXTENSIONAL FUZZY SETS
Volume 15, Issue 2 , March and April 2018, Pages 143-163
Abstract
Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic ... Read MoreGENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM
Volume 15, Issue 2 , March and April 2018, Pages 165-182