Fuzzy Semi Open Soft Sets Related Properties In Fuzzy Soft Topological Spaces

Abstract

In the present paper, we continue the study on fuzzy soft topological spaces and investigate the properties of fuzzy semi open (closed) soft sets, fuzzy semi soft interior (closure), fuzzy semi continuous (open) soft functions and fuzzy semi separation axioms which are important for further research on fuzzy soft topology. In particular, we study the relationship between fuzzy semi soft interior fuzzy semi soft closure. Moreover, we study the properties of fuzzy soft semi regular spaces and fuzzy soft semi normal spaces. This paper, not only can form the theoretical basis for further applications of topology on soft sets, but also lead to the development of information systems.

Other separation axioms in soft bi-topological space

“…They showed that soft sets are class of special information system. In the recent year, many interesting applications of soft sets theory have been extended by embedding the ideas of fuzzy sets [12][13][14][15][16][17][18][19][21][22][23] industrialized soft set theory , the operations of the sets are redefined and in indecision making method was constructed by using their new operations [24]. Recently, in 2011, Shabir and Naz [24] launched the study of soft Topological spaces, they beautiful defined soft Topology as a collection of τ of soft sets over X.…”

Fuzzy Soft Generalized Closed Sets in Fuzzy Soft Topological Spaces

“…B.Ahmad and A.Kharral [3] investigated fuzzy soft sets and established Fuzzy soft functions on Fuzzy soft classes. The notion of topological structure of Fuzzy soft sets was introduced by Tanay and Kandemir [4] in 2011 and studied further by Varol and Aygun [5].…”

Characterization of Soft B Separation Axioms in Soft Bi-Topological Spaces

“…They showed that soft sets are class of special information system. In the recent year, many interesting applications of soft sets theory have been extended by embedding the ideas of fuzzy sets industrialized soft set theory, the operations of the soft sets are redefined and in indecision making method was constructed by using their new operations [9][10][11][12][13][14][15][16][17][18][19][20].…”