r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of New Theory
Issue:4
r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES

r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES

Authors : Osama A E Tantawy, Rasha N Majeed, Sobhy A ElSheikh

Pages : 60-73

View : 50 | Download : 8

Publication Date : 2015-05-01

Article Type : Review Paper

Abstract :− In [34] we introduced the notion of r-insert ignore into journalissuearticles values(τi, τj);-θ-generalized fuzzy closed sets in smoothbitopological spaces by using insert ignore into journalissuearticles values(τiθ-fuzzy closure, denoted Cθon smooth bitopological spaces by using smooth supra topological spaceinsert ignore into journalissuearticles values(X, τ12); which is generated from smooth bitopological space insert ignore into journalissuearticles values(X, τ1, τ); [1], such that Cθ≤ Tτi. Inthis paper, we introduce a new class of r-θ-generalized fuzzy closed sets, namely, r-τ12-θ-gfc in smoothbitopological spaces via Cθ-fuzzy closure operator. The basic properties of these sets are studied.Furthermore, the relationship with other notions of r-generalized fuzzy closed sets in [31, 32, 33, 34]are investigated and we give many examples for reverse. In addition, by using r-τ12-θ-gfc sets, wedefine a new fuzzy closure operator which generates a new smooth topology. Finally, generalized fuzzyθ-continuous insert ignore into journalissuearticles values(resp. irresolute); and fuzzy strongly θ-continuous mappings are introduced and some oftheir properties are studied
Keywords : Smooth topology, θ generalized fuzzy closed, generalized fuzzy closure operator, generalized fuzzy θ continuous mapping, generalized fuzzy θ irresolute mapping, fuzzy strongly θ continuousmapping

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.