Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483636 | Journal of the Egyptian Mathematical Society | 2012 | 10 Pages |
Abstract
This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [1]. It investigates topological notions defined by means of α-open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0, 1]) . The concept of α-irresolute functions and α-compactness in the framework of fuzzifying topology are introduced and some of their properties are obtained. We use the finite intersection property to give a characterization of fuzzifying α-compact spaces. Furthermore, we study the image of fuzzifying α-compact spaces under fuzzifying α-continuity and fuzzifying α-irresolute maps.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
O.R. Sayed,