Intuitionistic Fuzzy Topological Research Articles

Generalized Pre-semi Homeomorphisms in Intuitionistic Fuzzy Topological Spaces

Generalized Pre-semi Homeomorphisms in Intuitionistic Fuzzy Topological Spaces

A new approach for attribute reduction from decision table based on intuitionistic fuzzy topology

A new approach for attribute reduction from decision table based on intuitionistic fuzzy topology

On Intuitionistic Fuzzy Neutrosophic Soft Ideal Topological Spaces

The purpose of this paper is to introduce the notion of intuitionistic fuzzy neutronsophic soft ideal in Intuitionistic fuzzy neutronsophic soft set theory. The concept of intuitionistic fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new intuitionistic fuzzy neutronsophic soft topologies from the original one. The basic structure, respecially a basic for such generated Intuitionistic fuzzy neutronsophic soft topologies also studied here. Finally, the notion of compatibility of intuitionistic fuzzy neutronsophic soft ideals with Intuitionistic fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning, this topic are established here.

Application of Intuitionistic Fuzzy Topological Operators in Spatial Objects Modeling

The concept of topology is widely used in mathematical modeling of spatial objects and in GIS. One such application of fuzzy topological operators, detecting areas affected by Mikania micrantha, was studied by Shi and Liu. The precision of the results was evaluated by applying the intuitionistic fuzzy pre-interior and pre-clouser operators defined by the author to the data included in this study.
 With this application example, it has been shown that the newly defined operators give results closer to the real bounds.

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

Intuitionistic Fuzzy Soft Topology via Neighborhood

In this paper, we bring out some properties of intuitionistic fuzzy soft topology by using the concept of neighborhood. Firstly, we introduce the concept of intuitionistic fuzzy soft point differently from the previous published papers which is related to intuitonistic fuzzy soft point and study some of its basic properties. We also generate an intuitonistic fuzzy soft topology by using the systems of neighborhood and discuss certain properties of intuitonistic fuzzy soft topology including continuous mapping.

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

Topological approaches for n,m-Rung orthopair fuzzy sets with applications to diagnosis of learning disability

An n,m-rung orthopair fuzzy set is the one of the most useful expansions of fuzzy sets for coping with information uncertainties. In such circumstances, in this article, we define an n,m-rung orthopair fuzzy topology and investigate the basic aspects of this topology. We introduce their relationship with Fermatean fuzzy topology, Pythagorean fuzzy topology and intuitionistic fuzzy topology, and provide some examples. In addition, we introduce separated n,m-rung orthopair fuzzy sets and then we present the concept of diconnected n,m-rung orthopair fuzzy sets. Moreover, we study and characterize n,m-rung orthopair fuzzy continuous maps in great depth. Furthermore, we establish T0 and T1 in n,m-rung orthopair fuzzy topology and discover the links between them. Finally, we create a new relation extension on n,m-rung orthopair fuzzy sets and provide a method for classifying children with learning disabilities.

Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making

Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making

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

Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

The concept of the cubic intuitionistic fuzzy set is an effective hybrid model for modeling uncertainties with an intuitionistic fuzzy set and an interval-valued intuitionistic fuzzy set, simultaneously. The primary objective of this study is to develop a topological structure on cubic intuitionistic fuzzy sets with P-order and R-order as well as to define some fundamental characteristics and significant results with illustrations. Taking advantage of topological data analysis with cubic intuitionistic information, novel multicriteria group decision-making methods are developed for an uncertain supply chain management. Algorithms 1 and 2 are proposed for extensions of the weighted product model and the choice value method towards a cubic intuitionistic fuzzy environment, respectively. A comparative analysis is also given to discuss the validity and advantages of the proposed techniques.

Intuitionistic Fuzzy Topology Based on Intuitionistic Fuzzy Logic

There are many symmetries in intuitionistic fuzzifying topology. In the present paper, the notion of intuitionistic fuzzifying topology as an extension of fuzzifying topology and a preliminary of the research on bi-intuitionistic fuzzy topology is introduced. A theory of intuitionistic fuzzy topology with the semantic method of intuitionistic fuzzy logic is established.

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.

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.

CONNECTEDNESS IN TEMPORAL INTUITIONISTIC FUZZY TOPOLOGY IN CHANG'S SENSE

In this paper, connectedness in temporal intuitionistic fuzzy topology in Chang's sense is introduced and investigated. In the content of the paper, basic definitions, theorems and propositions about connectedness in temporal intuitionistic fuzzy topology in Chang's sense are given.

Generalized e-closed sets and generalized e-continuity in intuitionistic fuzzy topology

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy generalized e-closed sets and intuitionistic fuzzy generalized e-open sets in intuitionistic Fuzzy topological space. We investigate some of their properties. Further the notion of intuitionistic fuzzy \(_{e} T_{1/2}\) spaces, intuitionistic fuzzy GEO-connectedness, intuitionistic fuzzy GEO-compactness are introduced and studied.

Intuitionistic Fuzzy Topology on Soft Sets

Intuitionistic Fuzzy Topology on Soft Sets