Covering properties in intuitionistic fuzzy topological spaces.

Purpose – D.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spaces, and obtain several preservation properties

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

Fuzzy Sets, Fuzzy Logic and Their Applications

The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity

On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces

We define the notion of C * -algebra-valued fuzzy metric spaces and we study the topology induced by these spaces.The authors are grateful to the Basque Government by the support, of this work through Grant IT1207-19

(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

A New Form Of Continuity In Fuzzy Soft Topological Spaces

The current work introduces a new class of fuzzy soft B continuous functions such as slightly b continuous, semi b continuous, pre b continuous functions and their relation withthe existing fuzzy soft continuous functions in fuzzy soft topological spaces. Further optimal definitions of totally b continuous functions have also been brought out in the paper. A new space such as fuzzy soft b compact space is also initiated