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

Authors : Osama A. E. Tantawy, Sobhy A. El-sheikh, Rasha N. Majeed

Pages : 76-94

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Publication Date : 2014-06-01

Article Type : Other

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