a-Irresoluteness and a-compactness based on continuous valued logicq | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 20, Issue 2, 2012, Page 116-125 PDF (373 K) | ||||
| DOI: org/10.1016/j.joems.2012.08.010 | ||||
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| 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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