• 제목/요약/키워드: fuzzy weakly r-continuous

검색결과 18건 처리시간 0.018초

On Fuzzy α-Weakly r-Continuous Mappings

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권3호
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    • pp.228-231
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    • 2009
  • In this paper, we introduce the concept of fuzzy $\alpha$-weakly r-continuous mapping on a fuzzy topological space and investigate some properties of such a mapping and the relationships among fuzzy $\alpha$-weakly r-continuity, fuzzy r-continuity and fuzzy weakly r-continuity.

Fuzzy(r,s)-irresolute maps

  • Lee, Seok-Jong;Kim, Jin-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.49-57
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    • 2007
  • 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.