a-Irresoluteness and a-compactness based on continuous valued logicq | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 20, Issue 2, 2012, Pages 116-125 PDF (373 K) | ||
| DOI: org/10.1016/j.joems.2012.08.010 | ||
| Author | ||
| O. R. Sayed | ||
| Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt | ||
| 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 a-open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0, 1]) . The concept of a-irresolute functions and a-compactness in the framework of fuzzifying topology are introduced and some of their properties are obtained. Weuse the finite intersection property to give a characterization of fuzzifying a-compact spaces. Furthermore, we study the image of fuzzifying a-compact spaces under fuzzifying a-continuity and fuzzifying a-irresolute maps. | ||
| Keywords | ||
| Łukasiewicz logic; Semantics; Fuzzifying topology; a-Irresoluteness; Fuzzifying compactness; a-Compactness | ||
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