• 제목/요약/키워드: (fuzzy) closure systems

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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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An (r,s)-derived sets and double fuzzy closure operators

  • Zahran, Ahmed M.;Abd-Allah, M. Azab;EI-Saady, Kamal;EI-Rahman, Abd EI-Nasser G. Abd
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권1호
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    • pp.6-10
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    • 2008
  • In this paper, we introduce the concept of fuzzy (r, s)-adherence points, fuzzy (r, s)-accumulation points and fuzzy (r, s)-derived sets in double fuzzy topology. We investigate some of their properties. The relationship with double fuzzy closure operator was studied.

Initial fuzzy quasi-proximities

  • Park, Jin-Won
    • 한국지능시스템학회논문지
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    • 제10권2호
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    • pp.146-151
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    • 2000
  • We prove the existence of initial fuzzy quasi-proximity spaces. We study the relationship between the initial structure of the fuzzy closure spaces and that of fuzzy quasi-proximity spaces. We give some examples of those.

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Some Properties of Alexandrov Topologies

  • Kim, Yong Chan;Kim, Young Sun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제15권1호
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    • pp.72-78
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    • 2015
  • Alexandrov topologies are the topologies induced by relations. This paper addresses the properties of Alexandrov topologies as the extensions of strong topologies and strong cotopologies in complete residuated lattices. With the concepts of Zhang's completeness, the notions are discussed as extensions of interior and closure operators in a sense as Pawlak's the rough set theory. It is shown that interior operators are meet preserving maps and closure operators are join preserving maps in the perspective of Zhang's definition.

SEMI-SEPARATION AXIOMS IN FUZZY TOPOLOGICAL SPACES

  • Park, Jin-Han;Park, Yong-Beom
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1997년도 춘계학술대회 학술발표 논문집
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    • pp.47-51
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    • 1997
  • In this paper, certain fuzzy semi-separation axioms are studied in terms of the notions of quasi-coincidence, fuzzy semi-q-neigborhoods and fuzzy semi-$\theta$-closure operators. Fuzzy semi-T2, fuzzy semi-Urysohn and fuzzy s-regular spaces are defined, and fuzzy spaces satisfying these axioms are characterized.

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Intuitionistic Interval-Valued Fuzzy Sets

  • 정민석;허걸
    • 한국지능시스템학회논문지
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    • 제20권6호
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    • pp.864-874
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    • 2010
  • We introduce the notion of intuitionistic interval-valued fuzzy sets as the another generalization of interval-valued fuzzy sets and intuitionistic fuzzy sets and hence fuzzy sets. Also we introduce some operations over intuitionistic interval-valued fuzzy sets. And we study some fundamental properties of intuitionistic interval-valued fuzzy sets and operations.

A Note on g-Closed Fuzzy Sets and g-Fuzzy Continuities

  • 안영신;허걸
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
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    • pp.369-373
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    • 1995
  • We introduce the concepts of generalized closed fuzzy set(breifly g-closed fuzzy set) and generalized fuzzy continuity (briefly g-fuzzy continuity), and investigate their some properties. When A is a fuzzy set in a fuzzy topological space, we denote the closure of A, the interior of A and the complement of A as CA(a) and CA, respectively

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