Intuitionistic Fuzzy Topological Spaces Research Articles

On Covering Properties in Intuitionistic Fuzzy Topological Spaces: A survey

We show here some results on covering properties in intuitionistic fuzzy topological spaces. In 1983, K.T. Atanassov proposed a generalization of the notion of fuzzy set: the concept of intuitionistic fuzzy set. D. Çoker constructed the fundamental theory on intuitionistic fuzzy topological spaces, and D. Çoker and other mathematicians studied compactness, connectedness, continuity, separation, convergence and paracompactness in intuitionistic fuzzy topological spaces. Finally, G.-J Wang and Y.Y. He showed that every intuitionistic fuzzy set may be regarded as an L-fuzzy set for some appropriate lattice L. Nevertheless, the results obtained by above authors are not redundant with other for ordinary fuzzy sense.

Generalized Pre-semi Homeomorphisms in Intuitionistic Fuzzy Topological Spaces

Generalized Pre-semi Homeomorphisms in Intuitionistic Fuzzy Topological Spaces

An in-depth exploration of intuitionistic fuzzy T_0 in the context of bitopology

Intuitionistic fuzzy topological space and bitopological space have been introduced by using the concepts of intuitionistic fuzzy sets which are the generalizations of interval valued fuzzy sets. This paper commences by presenting the notion of intuitionistic fuzzy T0 in the context of bitopological spaces (IFB-T0). Subsequently, we explore various connections and relationships between these concepts. Then, we find out the relation between intuitionistic T0 and IFB-T0 spaces. Further, we investigated continuity between two IFB spaces.

Applications of intuitionistic fuzzy sets to assessment, decision making and to topological spaces

The intuitionistic fuzzy sets, in which the elements of the universe have their membership and non-membership degrees in [0, 1], are a generalization of Zadeh’s fuzzy set. In this paper, intuitionistic fuzzy sets are used as tools for assessment and decision-making. This is useful in cases where one is not sure about the suitability of the linguistic characterizations assigned to each element of the universal set. Further, it is described how the notions of convergence, continuity, compactness, and of Hausdorff topological space are extended to intuitionistic fuzzy topological spaces. Applications illustrating our results are also presented.

INTUITIONISTIC FUZZY SUPRA CONTRA SEMI-HOMEOMORPHISM

The aim of the present paper is to introduce two classes of open mappings using intuitionistic fuzzy supra open sets and semi-supra open sets in intuitionistic fuzzy supra topological spaces. It is nothing but, the image of intuitionistic fuzzy supra open set (resp. supra open) is intuitionistic fuzzy semi-supra closed set (resp. supra closed) in co-domain space. Moreover , a few of their significant properties have been studied. A necessary and sufficient condition for intuitionistic fuzzy supra contra semi-open mapping has been derived in terms of semi-supra closure and semi-supra interior. Also, the class of intuitionistic fuzzy supra contra open mappings is properly contained in that of intuitionistic fuzzy supra contra semi-open mappings has been investigated. Suitable examples have been given to establish that the reversible implications are lacking in general. A notion of intuitionistic fuzzy supra contra semi-homeomorphism has been defined and characterized.

Ifgp Continuous Mapping, Ifgp Irresolute Mapping, and Ifgp Connectedness in Intuitionistic Fuzzy Topological Spaces

Ifgp Continuous Mapping, Ifgp Irresolute Mapping, and Ifgp Connectedness in Intuitionistic Fuzzy Topological Spaces

Regular Open Sets on The Intuitionistic Fuzzy Topological Spaces in Sostak's Sense

The aim of this paper is to introduce and study the concepts of intuitionistic r-fuzzy regular open sets and their related notions in topological spaces.

A Relation between π Generalized Pre Connectedness and π Generalized Supra Connectedness In Intuitionistic Fuzzy Topological Space

The aim of this paper is to give the concepts of intuitionistic fuzzy generalized pre connectedness with study its properties. Finally we study the relation between intuitionistic fuzzy generalized pre connectedness and intuitionistic fuzzy generalized supra connectedness in intuitionistic fuzzy topological space .

On Semi- regular T1 and Semi- regular T2 in Intuitionistic Fuzzy Topological Spaces

The purpose of this paper is to give the new definitions of semi-regular T1 and semi-regular T2 separation axioms in intuitionistic fuzzy topological spaces. Study the basic properties, characterizations and relationships of these new concepts in intuitionistic fuzzy topological spaces.

A Relations between π Generalized α Connectedness and π Generalized Semi Connectedness in Intuitionistic Fuzzy Topological Spaces

The purpose of this paper is to introduce the concepts of intuitionistic fuzzy generalized α connectedness in intuitionistic fuzzy topological space and study some of its properties. Finally we study the relation between intuitionistic fuzzy generalized α connectedness and intuitionistic fuzzy generalized semi connectedness in intuitionistic fuzzy topological space

IFsgp*-Closed Sets, Open Sets in Intuitionistic Fuzzy Topological Spaces

Abstract: In this paper, Intuitionistic fuzzy semi gp* - closed sets, Intuitionistic fuzzy semi gp* - open sets, and characteristics of Intuitionistic fuzzy semi gp* - closed sets are introduced. Here, we have also investigated their relations and properties with other Intuitionistic fuzzy sets

Regularly open sets in intuitionistic fuzzy topological spaces

Regularly open sets in intuitionistic fuzzy topological spaces

On Intuitionistic Fuzzy β Generalized α Normal Spaces

In this paper a new concept of generalized intuitionistic fuzzy topological space called intuitionistic fuzzy β generalized α normal space is introduced. Several characterizations of intuitionistic fuzzy β generalized α normal space, intuitionistic fuzzy strongly β generalized α normal and intuitionistic fuzzy strongly β generalized α regular spaces are studied. Moreover, the related intuitionistic fuzzy functions with intuitionistic fuzzy β generalized α normal spaces are investigated.

Intuitionistic Fuzzy Hypersoft Separation Axioms

In the present paper, we introduce the notion of $T_{i}$ $(i=0,1,2,3,4)$ separation axioms in intuitionistic fuzzy hypersoft topological spaces and discuss some of its properties. By using this notions, we also give some basic theorems of separation axioms in intuitionistic fuzzy hypersoft topological spaces. Finally, we present hereditary property of intuitionistic fuzzy hypersoft topological spaces.

PARA-COMPACTNESS CONCEPT IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

This paper aims to establish the para-compactness concept in intuitionistic fuzzy topological space. Here we give three new notions related to para-compactness and one new notion of IF--compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy para-compactness and some of its features. Furthermore, using some provisos we will find a relation among second countable, para-compactness, and IF--compactness in intuitionistic fuzzy topological spaces.

On (r, s)-connectedness in intuitionistic fuzzy topological spaces

The aim of this paper is to establish the (r, s)-connectedness in intuitionistic fuzzy topological space. Here we give two new notions of (r, s)-connectedness and total (r, s)-connectedness in intuitionistic fuzzy topological space. Also, we find a relation about classical topology and intuitionistic fuzzy topology. Furthermore, using some provisos we will show that (r, s)-connectedness in intuitionistic fuzzy topological spaces are productive and some of its features.

A study on compactness in intuitionistic fuzzy topological spaces

The purpose of this paper is to introduce and study the compactness in intuitionistic fuzzy topological spaces. Here we define two new notions of intuitionistic fuzzy compactness in intuitionistic fuzzy topological space and find their relation. Also we find the relationship between intuitionistic general compactness and intuitionistic fuzzy compactness. Here we see that our notions satisfy hereditary and productive property.

On pythagorean fuzzy soft topological spaces

Imprecision in the decision-making process is an essential consideration. In order to navigate the imprecise decision-making framework, measuring tools and methods have been developed. Pythagorean fuzzy soft sets are one of the new methods for dealing with imprecision. Pythagorean fuzzy soft topological spaces is an extension of intuitionistic fuzzy soft topological spaces. These sets generalizes intuitionistic fuzzy sets for a broader variety of implementations. This work is a gateway to study such a problem. The concept of Pythagorean fuzzy soft topological spaces(PyFSTS), interior, closure, boundary, neighborhood of Pythagorean fuzzy soft spaces PyFSS, base and subspace of PyFSTSs are presented and its properties are figured out. We established an algorithm under uncertainty based on PyFSTS for multi-attribute decision-making (MADM) and to validate this algorithm, a numerical example is solved for suitable brand selection. Finally, the benefits, validity, versatility and comparison of our proposed algorithms with current techniques are discussed.The advantage of the proposed work is to detect vagueness with more sizably voluminous valuation space than intuitionistic fuzzy sets.

Intuitionistic fuzzy semi δ-pre irresolute mappings

This paper introduces the concept of intuitionistic fuzzy semi δ-pre irresolute mappings in intuitionistic fuzzy topological spaces. We investigate some of their properties and obtain several preservation properties and characterizations.

Suitable interval-valued intuitionistic fuzzy topological spaces

In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies associated to it are studied. For this reason, some subclasses of the family of interval-valued intuitionistic fuzzy topologies on a set which we call pre-suitable and suitable are introduced. Furthermore, the concepts of homeomorphism functions and compactness in the framework of interval-valued intuitionistic fuzzy topological spaces are introduced and studied.