Title of article :
r-τ12-Fuzzy Semiopen Sets and Fuzzy Semi Continuity Mappings in Smooth Bitopological Spaces
Author/Authors :
Tantawy, Osama A. E. Zagaziq University - Faculty of Science - Department of Mathematics, Egypt , El-Sheikh, Sobhy A. Ain Shams University - Faculty of Education - Department of Mathematics, Egypt , Majeed, Rasha N. Ain Shams University - Faculty of Science - Department of Mathematics, Egypt , Majeed, Rasha N. Baghdad University - College of Education Ibn-Al-Haitham - Department of Mathematics, Iraq
Abstract :
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.
Keywords :
Smooth bitopological spaces , smooth supra topo logical space , r , fuzzy semiopen , supra fuzzy semiclosure operator , fuzzy semi continuous ( fuzzy ir , resolute) maps.
Journal title :
Journal Of New Results In Science
Journal title :
Journal Of New Results In Science
