Generalized Semipre Regular Closed Sets inIntuitionistic Fuzzy Topological Spaces

The aim of this work is to introduceψ-operations on fuzzy topological spaces and to use them to study fuzzy generalizedψρ-closed sets and fuzzy generalizedψρ-open sets. Also, we introduce some characterizations and properties for these concepts. Finally we show that certain results of several publications on the concepts of weakness and strength of fuzzy generalized closed sets are considered as corollaries of the results of this research.

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Comparative Study of Fuzzy *g −Closed Set with other Fuzzy Closed Sets in Fuzzy Topological Spaces

International Journal of Advanced Science and Engineering ◽

10.29294/ijase.5.3.2019.1045-1051 ◽

2019 ◽

Vol 5 (3) ◽

pp. 1045-1051

Author(s):

Kiran G Potadar . ◽

Sadanand N Patil .

Keyword(s):

Comparative Study ◽

Topological Spaces ◽

Closed Set ◽

Closed Sets ◽

Fuzzy Topological Spaces

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Fine Fuzzy sp Closed Sets in Fine Fuzzy Topological Spaces

International Journal of Engineering and Advanced Technology - Regular Issue ◽

10.35940/ijeat.c5222.029320 ◽

2020 ◽

Vol 9 (3) ◽

pp. 1306-1313

Keyword(s):

Continuous Function ◽

Topological Space ◽

Inverse Image ◽

Continuous Functions ◽

Topological Spaces ◽

The Novel ◽

Closed Set ◽

Closed Sets ◽

Fuzzy Topological Space ◽

Fuzzy Topological Spaces

The main view of this article is the extended version of the fine topological space to the novel kind of space say fine fuzzy topological space which is developed by the notion called collection of quasi coincident of fuzzy sets. In this connection, fine fuzzy closed sets are introduced and studied some features on it. Further, the relationship between fine fuzzy closed sets with certain types of fine fuzzy closed sets are investigated and their converses need not be true are elucidated with necessary examples. Fine fuzzy continuous function is defined as the inverse image of fine fuzzy closed set is fine fuzzy closed and its interrelations with other types of fine fuzzy continuous functions are obtained. The reverse implication need not be true is proven with examples. Finally, the applications of fine fuzzy continuous function are explained by using the composition.

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Soft multi generalized regular sets in soft multi topological spaces

Journal of Advanced Studies in Topology ◽

10.20454/jast.2017.1208 ◽

2017 ◽

Vol 8 (1) ◽

pp. 9

Author(s):

Alkan ÖZKAN

Keyword(s):

Topological Spaces ◽

Closed Set ◽

Basic Properties ◽

Closed Sets ◽

New Class ◽

Basic Concepts ◽

Regular Sets ◽

Regular Closed

Many researchers have identified some of the basic concepts in soft multi topology and many properties were investigated. The main objective of this study is to provide and study a new class of soft multi closed sets like soft multi generalized regular closed (briefly soft mgr-closed) set and to investigated some of its basic properties in soft multi topological spaces. Furthermore, soft multi α-closed set, soft multi pre-closed set, soft multi semi-closed set, soft multi b-closed set and soft multi β-closed set in soft topological spaces are defined.We show that every soft multi regular closed set is soft multi generalized regular closed set.

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