A general approach to modal topological structures illustrated by intuitionistic fuzzy objects [PDF]
A new, general approach to introducing of the concept of a Modal Topological Structure (MTS) is given. The basic properties of the MTS are studied.
Krassimir Atanassov
doaj +3 more sources
H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE
In this study we investigate some properties of the pointed intuitionistic fuzzy topological spaces. Then some properties of intuitionistic fuzzy loop spaces are investigated Finally it is shown that an intuitionistic fuzzy loop space is an H-group.
DEMİRALP, Sibel, HAÇAT, Gülnur
openaire +4 more sources
On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets
In this study, some algebraic properties of intuitionistic fuzzy parameter soft (IFPS) which combining the strengths of intuitionistic fuzzy sets and parameterized soft set theory, are given with examples.
Serkan Atmaca, Bünyamin Elturan
doaj +2 more sources
Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures [PDF]
The concept of multi-dimensional modal topological structures was introduced in the middle of 2025. One of the special forms of these structures are the intuitionistic fuzzy multi-dimensional modal topological structures.
Krassimir Atanassov
doaj +2 more sources
Selection of Random Minimum Spanning Tree Based on Intuitionistic Fuzzy Sets [PDF]
To solve the difficulty of selecting nodes for network topology in complex environment,a selection method of random minimum spanning tree based on intuitionistic fuzzy sets is proposed.Through analyzing the uncertainty,like randomness and fuzziness ...
WANG Xiaoxia,YANG Fengbao,YUAN Hua
doaj +1 more source
A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
core +1 more source
Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets [PDF]
Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen +5 more
core +1 more source
Completely continuous functions in intuitionistic fuzzy topological spaces [PDF]
summary:In this paper, after giving the basic results related to the product of functions and the graph of functions in intuitionistic fuzzy topological spaces, we introduce and study the concept of fuzzy completely continuous functions between ...
Hanafy, I. M. +8 more
core +1 more source
On the intuitionistic fuzzy modal feeble topological structures
In the paper, for the first time, ideas for intuitionistic fuzzy modal feeble topological structures (of two types) are introduced, and some of their properties are discussed. These topologies are based on the intuitionistic fuzzy operation @, intuitionistic fuzzy operator W, on the two intuitionistic fuzzy modal operators □, ◊ and of simplest ...
openaire +1 more source
A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces [PDF]
The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, intuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy
Karthika, M. +3 more
core +1 more source

