r-t12-Fuzzy Semiopen Sets and Fuzzy Semi Continuity Mappings in Smooth Bitopological Spaces

Year 2014, Volume: 3 Issue: 6, 76 - 94, 01.06.2014

Osama A. E. Tantawy Sobhy A.el-sheikh Rasha N.majeed

Abstract

In this paper we introduce the notion of r-τsemiopen sets in smooth supra topological space (X, τ12) which isinduced from smooth bitopological space (X, τ1, τ2) [1]. We showthe present notion of fuzzy semiopen set and the notion of r(i, j)fuzzy semiopen in [25] are independent. In addition by using thisnew class of r-τ12-fuzzy semiopen sets we constructed a new typeof supra fuzzy closure operator which create a new smooth supratopological space τSfiner than τ12. Finally, we introduce andstudy different types of fuzzy semi continuity, which are relatedto the constructed closure operator and their induced topologies

Keywords

Smooth bitopological spaces, smooth supra topological space, r-fuzzy semiopen, supra fuzzy semiclosure operator, fuzzy semi continuous ( fuzzy irresolute) maps

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