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r-τ12-Fuzzy Semiopen Sets and Fuzzy Semi Continuity Mappings in Smooth Bitopological Spaces
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نویسنده
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Tantawy Osama A. E. ,El-Sheikh Sobhy A. ,Majeed Rasha N.
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منبع
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journal of new results in science - 2014 - شماره : 6 - صفحه:76 -94
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چکیده
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In this paper we introduce the notion of r-τ12-fuzzy semiopen sets in smooth supra topological space (x, τ12) which is induced from smooth bitopological space (x, τ1, τ2) [1]. we show the present notion of fuzzy semiopen set and the notion of r(i, j)- fuzzy semiopen in [25] are independent. in addition by using this new class of r-τ12-fuzzy semiopen sets we constructed a new type of supra fuzzy closure operator which create a new smooth supra topological space τ ^s 12 finer than τ12. finally, we introduce and study different types of fuzzy semi continuity, which are related to the constructed closure operator and their induced topologies.
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کلیدواژه
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Smooth bitopological spaces ,smooth supra topo logical space ,r-fuzzy semiopen ,supra fuzzy semiclosure operator ,fuzzy semi continuous ( fuzzy ir- resolute) maps.
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آدرس
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Zagaziq University, Faculty of Science, Department of Mathematics, Egypt, Ain Shams University, Faculty of Education, Department of Mathematics, Egypt, Ain Shams University, Faculty of Science, Department of Mathematics, Egypt. Baghdad University, College of Education Ibn-Al-Haitham, Department of Mathematics, Iraq
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Authors
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