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http://dx.doi.org/10.5391/IJFIS.2007.7.1.049

Fuzzy(r,s)-irresolute maps  

Lee, Seok-Jong (Department of Mathematics, Chungbuk National University)
Kim, Jin-Tae (Department of Mathematics, Chungbuk National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.7, no.1, 2007 , pp. 49-57 More about this Journal
Abstract
Using the idea of degree of openness and degree of nonopenness, Coker and Demirci [5] defined intuitionistic fuzzy topological spaces in Sostak's sense as a generalization of smooth topological spaces and intuitionistic fuzzy topological spaces. M. N. Mukherjee and S. P. Sinha [10] introduced the concept of fuzzy irresolute maps on Chang's fuzzy topological spaces. In this paper, we introduce the concepts of fuzzy (r,s)-irresolute, fuzzy (r,s)-presemiopen, fuzzy almost (r,s)-open, and fuzzy weakly (r,s)-continuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. Using the notions of fuzzy (r,s)-neighborhoods and fuzzy (r,s)-semineighborhoods of a given intuitionistic fuzzy points, characterizations of fuzzy (r,s)-irresolute maps are displayed. The relations among fuzzy (r,s)-irresolute maps, fuzzy (r,s)-continuous maps, fuzzy almost (r,s)-continuous maps, and fuzzy weakly (r,s)-cotinuous maps are discussed.
Keywords
fuzzy (r,s)-continuous; fuzzy almost (r,s)-continuous; fuzzy (r,s)-irresolute; fuzzy (r,s)-presemiopen; fuzzy almost (r,s)-open; fuzzy weakly (r,s)-continuous;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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