• 제목/요약/키워드: Fuzzy topological spaces

검색결과 154건 처리시간 0.029초

Category of H-fuzzy Semtiopogenous Spaces

  • Chung, S.H.
    • 한국지능시스템학회논문지
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    • 제3권3호
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    • pp.19-26
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    • 1993
  • In this paper, we introduce the notion of H-fuzzy esmitopogenous spaces. In section 1, we give the preliminary definitions and some basic results. In section 2, we show that category HFS of H-fuzzy semitiopogenous spaces and continuous maps between them is topological and cotopological. Using ordinary operations, we characterize coreflective subcatgories and then show that each of Top, Prox, Qunif, and Unig is isomorphic with some coreflective subcategory of HFS. Moreover, we show that sa-HFS is closed under the formation of initial sources in a-HFS, whewe a is a symmetrical elementary operation.

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FUZZY STRONGLY r-SEMICONTINUOUS NEIGHBORHOODS

  • Lee, Seok-Jong;Park, Ju-Hui
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.63-66
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    • 2000
  • In this thesis, we introduce and investigate the notions of a fuzzy strongly ${\gamma}$-semineighbor-hood and a fuzzy strogly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

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FUZZY CONVERGENCE THEORY - II

  • MONDAL K. K.;SAMANTA S. K.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권2호
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    • pp.105-124
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    • 2005
  • In this paper convergence of fuzzy filters and graded fuzzy filters have been studied in graded L-fuzzy topological 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.

Fuzzy r-convergent nets

  • Kim, Yong-Chan;Kim, Young-Sun
    • 한국지능시스템학회논문지
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    • 제10권5호
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    • pp.513-519
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    • 2000
  • In this paper, we investigate some properties of fuzzy r-cluster points and fuzzy r-limit points in smooth fuzzy topological spaces. We define fuzzy r-convergent nets and investigate some of their properties.

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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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퍼지 일반화된 위상 공간에서 FUZZY r-GENERALIZED ALMOST CONTINUITY에 관한 연구 (Fuzzy r-Generalized Almost Continuity on Fuzzy Generalized Topological Spaces)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제20권2호
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    • pp.257-261
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    • 2010
  • 본 논문에서는 fuzzy r-generalized almost continuity의 개념과 특성을 연구한다. 특히 fuzzy r-generalized regular open sets를 이용하여 fuzzy r-generalized almost continuity의 특성을 밝힌다.

Order Structures of Compactifications in L-fuzzy Topological Spaces

  • Liu, Yingming;Luo, Maokang
    • 한국지능시스템학회논문지
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    • 제2권1호
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    • pp.3-16
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    • 1992
  • In this paper, we establish the conceptes of compactifications of a L-fuzzy topological space and a order relation in these compactifications. This order is a preorder. The existemce problem and the uniqueness problem of the largest compactifications are closely related to the mapping extension problem. We give out the largest compactifications and show the non-uniqueness of the largest compactifications in the preorder for a kind of spaces. Moreover, under some natural assumptions of separation axioms, we prove that the preorder is just a partial order, thus it ensures the uniqueness of the largest compactification. In addition. the related discussion involves the special properties of fuzzy product space, the latter seems to be independent interesting.

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