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Research Article Open access CC BY 4.0

On Characterizations of Some Types of Fuzzy Soft Sets in Fuzzy Soft Bitopological Spaces

A. F. Sayed

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 16 Sep 2017

10.9734/JAMCS/2017/35969

Abstract

In this paper, we introduce and study the notion of kernal operator in fuzzy soft bitopological space. Moreover, some important results related to this notion are obtained. Furthermore, we introduce the concept of Alexandroff fuzzy soft topology and the concept of Ƭ1Ƭ2-Λ-fuzzy soft sets is presented and it is proved that the family of all Ƭ1Ƭ2-Λ-fuzzy soft sets is an Alexandroff fuzzy soft topology. In addition, we introduce and characterize a new type of fuzzy soft sets in a fuzzy soft bitopological spaces namely Ƭ1Ƭ2-λ-fuzzy soft closed set and investigate some of its basic properties. Finally, comparisons between these fuzzy soft sets are obtained.

Soft set fuzzy set fuzzy soft set fuzzy soft topological space fuzzy soft bitopological space

Cited by 4

Characterization of fuzzy soft tri-pre-open set in fuzzy soft tri-topological spaces

Asmhan F. Hassan, Azhaar A. Farhan · AIP Conference Proceedings · 2023

On fuzzy soft b-open sets in fuzzy soft bitopological space

A. F. Sayed · Journal of Mathematics and Computer Science · 2020

Characterization of Fuzzy Soft Tri-α-open set In Fuzzy Soft Tri-topological Spaces

Asmhan F. Hassan, Azhaar A. Farhan · Journal of Physics: Conference Series · 2021

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