• 제목/요약/키워드: fuzzy r-M open function

검색결과 5건 처리시간 0.017초

Decomposition of fuzzy ideal continuity via fuzzy idealization

  • Zahran, Ahmed M.;El-Baki, S. Ahmed Abd;Saber, Yaser Mohammed
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권2호
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    • pp.83-93
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    • 2009
  • Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

Generalized Double Fuzzy Semi-Basically Disconnected Spaces

  • Mohammed, Fatimah M.;Noorani, Mohd Salmi Md.;Ghareeb, A.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권3호
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    • pp.216-221
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    • 2014
  • In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-$F_{\sigma}$ sets, (r, s)-generalized fuzzy semiclosed-$G_{\delta}$ sets, generalized double fuzzy $semi^*$-open function, generalized double fuzzy $semi^*$-continuous function and generalized double fuzzy $semi^*$-irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.