γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces

Binod Chandra Tripathy · Shyamal Debnath

37 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Fuzzy Systems and Optimization

Abstract

In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.

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References

1968Fuzzy topological spaces 1981On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity 1991On fuzzy strong semicontinuity and fuzzy precontinuity 1991Fuzzy preopen sets and fuzzy preseparation axioms 2012On mixed fuzzy topological spaces and countability 1994Semi-open sets, semi-continuity and semi-open mappings in fuzzy bitopological spaces 1995On fuzzy bitopological spaces

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