• 제목/요약/키워드: Fuzzy bitopological spaces

검색결과 28건 처리시간 0.018초

On fuzzy pairwise $\beta$-continuous mappings

  • Im, Young-Bin;Park, Kuo-Duok
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
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    • pp.378-383
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    • 1995
  • Kandil[5] introduced and studied the notion of fuzzy bitopological spaces as a natural generalization of fuzzy topological In [10], Sampath Kumar introduced and studied the concepts of ( i, j)-fuzzy semiopen sets, fuzzy pairwise semicontinuous mappings in the fuzzy bitopological spaces. Also, he defined the concepts of ( i, j)-fuzzy -open sets, ( i, j)-fuzzy preopen sets, fuzzy pairwise -continuous mappings and fuzzy pairwise precontinuous mappings in the fuzzy bitopological spaces and studied some of their basic properties. In this paper, we generalize the concepts of fuzzy -open sets, fuzzy -continous mappings ? 새 Mashhour, Ghanim and Fata Alla[6] into fuzzy bitopological spaces, We first define the concepts of ( i, j)-fuzzy -open sets and then consider the generalizations of fuzzy pairwise -continuous mappings is obtained Besides many basic results, results related to products and graph of mapping are obtained in the fuzzy bitopological spaces.

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ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE

  • Ramadan, A.A.;Abbas, S.E.;El-Latif, A.A. Abd
    • 대한수학회논문집
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    • 제21권3호
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    • pp.497-514
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    • 2006
  • In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.

ON PAIRWISE FUZZY BASICALLY DISCONNECTED SPACES

  • Balasubramanian, G.;Chandrasekar, V.
    • East Asian mathematical journal
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    • 제18권1호
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    • pp.85-93
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    • 2002
  • The concept of basic disconnectedness is introduced in the fuzzy bitopological spaces. Besides giving examples and some interesting properties of these spaces, we also establish several characterizations of these spaces.

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DOUBLE SEMIOPEN SETS ON DOUBLE BITOPOLOGICAL SPACES

  • Lee, Eun Pyo;Lee, Seung On
    • 충청수학회지
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    • 제26권4호
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    • pp.691-702
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    • 2013
  • We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

ON FUZZY QUASI-CONTINUOUS MAPPINGS

  • Park, Jin-Han;Park, Jin-Keun;Son, Mi-Jung
    • 한국지능시스템학회논문지
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    • 제11권8호
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    • pp.760-763
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    • 2001
  • The aim of this paper is to continue the study of fuzzy quasi-continuous mappings due to Park et al [12] on fuzzy bitopological spaces.

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퍼지 준 extremally disconnected 공간 (Fuzzy quasi extremally disconnected spaces)

  • 박진한;박용범;이부영
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.209-212
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    • 2005
  • In this paper, we introduce the concept of fuzzy quasi extremally disconnectedness in fuzzy bitopological space, which is a generalization of fuzzy extremally disconnectedness due to Ghosh [5] in fuzzy topological space and investigate some of its properties using the concepts of quasi-semi-closure, quasi-$\Theta$_closure and related notions in a fuzzy bitopological setting.

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Intuitionistic Smooth Bitopological Spaces and Continuity

  • Kim, Jin Tae;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권1호
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    • pp.49-56
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    • 2014
  • In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.

QUASI FUZZY CONNECTEDNESS BETWEEN FUZZY SETS

  • Park, Jin-Han;Park, Jin-Keun;Son, Mi-Jung
    • 한국지능시스템학회논문지
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    • 제11권9호
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    • pp.855-858
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    • 2001
  • In this paper the concept of fuzzy connectedness between fuzzy sets [8] is generalized to fuzzy bitopological spaces and some of its properties are studied.

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