240 research outputs found
On Fuzzy -open Sets, Fuzzy -continuity and Fuzzy -compactness in Intuitionistic Fuzzy Topological Spaces
The purpose of this paper is to introduce and study the concepts of fuzzy -open set, fuzzy -continuity and fuzzy -compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy -open sets and intuitionistic fuzzy -continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy -compactness have been obtained
Fuzziness, Indeterminacy and Soft Sets: Frontiers and Perspectives
The present paper comes across the main steps that laid from Zadeh's
fuzziness ana Atanassov's intuitionistic fuzzy sets to Smarandache's
indeterminacy and to Molodstov's soft sets. Two hybrid methods for assessment
and decision making respectively under fuzzy conditions are also presented
through suitable examples that use soft sets and real intervals as tools. The
decision making method improves an earlier method of Maji et al. Further, it is
described how the concept of topological space, the most general category of
mathematical spaces, can be extended to fuzzy structures and how to generalize
the fundamental mathematical concepts of limit, continuity compactness and
Hausdorff space within such kind of structures. In particular, fuzzy and soft
topological spaces are defined and examples are given to illustrate these
generalizations.Comment: 15 pages, 2 figures, 3 Tables, 30n reference
Intuitionistic regular subspaces in intuitionistic topological spaces
This paper explores the concept of intuitionistic topological spaces, delving into their definitions and essential properties. It also examines intuitionistic topological subspaces, providing insights into their characteristics. Additionally, the paper investigates intuitionistic regular spaces and demonstrates their hereditary nature, specifically focusing on and . To illustrate these concepts in practical terms, the paper presents two real-world examples of intuitionistic sets. Through a comprehensive analysis of intuitionistic topological spaces and their subsets, the study sheds light on the inheritability of regularity in these spaces. Furthermore, the work emphasizes the significance of intuitionistic topological spaces within the realm of mathematical research, showcasing their applicability through concrete instances of intuitionistic sets
On Double Fuzzy M-open Mappings and Double Fuzzy M-closed Mappings
We introduce and investigate some new class of mappings called double fuzzy M-open map and double fuzzy M-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy open, double fuzzy θ semiopen, double fuzzy δ preopen, double fuzzy M open and double fuzzy e open and their respective closed mappings
(R1956) Neutrosophic Soft e-Compact Spaces and Application Using Entropy Measure
In this paper, the concept of neutrosophic soft e-compactness is presented on neutrosophic soft topological spaces using the definition of e-open cover and its types. In addition, neutrosophic soft e-compactness and neutrosophic soft e-separation axioms are associated. Also, the concept of neutrosophic soft locally e-compactness is introduced in neutrosophic soft topological spaces and some of its properties are discussed. Added to that, an application in decision making problem is given using entropy
ON r-FUZZY λ-CLOSED SETS AND SMOOTH FUZZY λ-CONTINUOUS FUNCTIONS
This paperdeals with the interrelations of r-fuzzy -closed sets with other types of closed sets with the suitable counter examples. Also, the interrelations of smooth fuzzy -continuous functions with other types of smooth fuzzy continuous functions are established with the necessary counter examples.Finally, the properties and the characterizations of smooth fuzzy -compact spaces are discussed
Intuitionistic fuzzy topological spaces
The present thesis consisting of three chapters is devoted to the study of Intuitionistic fuzzy topological spaces. After giving the fundamental denitions we have discussed the concepts of intuitionistic fuzzy continuity, intuitionistic fuzzy compactness, and separation axioms, that is, intuitionistic fuzzy Hausdorff space, intuitionistic fuzzy regular space, intuitionistic fuzzy normal space etc
Intuitionistic λ-Regular closed sets
In this paper,  the interrelations among intuitionistic open set, intuitionistic regular open set, intuitionistic β open set and intuitionistic semi open set are studied with the necessary counter examples. Also a new class of intuitionistic closed sets namely intuitionistic λ-closed set, intuitionitic l-regular closed set, intuitionistic λ-β closed set and intuitionistic λ-semi closed set are introduced in intuitionistic topological spaces and investigated their properties
- …