Abstract
The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.
Highlights
Zadeh in [1] introduced the fundamental concept of fuzzy sets and fuzzy set operations in his standard paper
The conception of fuzzy semi pre-open set and fuzzy semi pre-open continuity in fuzzy topological spaces was introduced by Thakur, S
This paper is to introduce and investigate some new types of fuzzy semi pre continuous functions and fuzzy semi pre homeomorphism functions via fuzzy semi pre-open sets
Summary
Zadeh in [1] introduced the fundamental concept of fuzzy sets and fuzzy set operations in his standard paper. Thereafter, some researchers have applied some different basic notions from general topology by utilizing the fundamental idea of fuzzy sets and was subsequently expanded by developing important theories of fuzzy topological spaces. The notion of family in fuzzy sets naturally plays a very significant role in the study of the recent concept of fuzzy topology introduced by Chang [2]. The conception of fuzzy semi pre-open set and fuzzy semi pre-open continuity in fuzzy topological spaces was introduced by Thakur, S. This paper is to introduce and investigate some new types of fuzzy semi pre continuous functions and fuzzy semi pre homeomorphism functions via fuzzy semi pre-open sets. These new notions are investigated and the connections between them are studied. Some results in this topic with some properties and corollaries are developed
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