• 제목/요약/키워드: fuzzy generalized topological space

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Intuitionistic Fuzzy Generalized Topological Spaces 관한 연구 (On Intuitionistic Fuzzy Generalized Topological Spaces)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제19권5호
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    • pp.725-729
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    • 2009
  • intuitionistic fuzzy generalized topological space와 intuitionistic gradation of generalized openness의 개념을 소개한다. 한편 IFG-mapping, weak IFG-mapping과 IFG-open mapping의 개념을 소개하며 특성을 조사한다.

([r, s], [t, u])-INTERVAL-VALUED INTUITIONISTIC FUZZY GENERALIZED PRECONTINUOUS MAPPINGS

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제25권1호
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    • pp.1-18
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    • 2017
  • In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preclosed sets and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preopen sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized pre-continuous mappings and then investigate some of their properties.

([r, s], [t, u])-INTERVAL-VALUED INTUITIONISTIC FUZZY ALPHA GENERALIZED CONTINUOUS MAPPINGS

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제25권2호
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    • pp.261-278
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    • 2017
  • In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized closed and open sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized continuous mappings and then investigate some of their properties.

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.

FUZZY ωO-OPEN SETS

  • Al-Hawary, Talal
    • 대한수학회보
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    • 제45권4호
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    • pp.749-755
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    • 2008
  • In this paper, we introduce the relatively new notion of fuzzy ${\omega}^O$-open set. We prove that the collection of all fuzzy ${\omega}^O$-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "fuzzy generalized open" subsets.

퍼지 r-일반 열린 집합과 퍼지 r-일반 연속성에 관한 연구 (Fuzzy r-Generalized Open Sets and Fuzzy r-Generalized Continuity)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제19권5호
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    • pp.695-698
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    • 2009
  • 본 논문에서는 퍼지 r-열린 집합을 일반화 시킨 퍼지 r-일반 열린 집합의 개념과 성질을 소개한다. 그리고 퍼지 r-일반 연속함수, 퍼지 r-일반 열린함수, 퍼지 r-일반 닫힌 함수의 개념과 특성을 연구한다.

FUZZY G-CLOSURE OPERATORS

  • Kim, Yong-Chan;Ko, Jung-Mi
    • 대한수학회논문집
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    • 제18권2호
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    • pp.325-340
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    • 2003
  • We introduce a fuzzy g-closure operator induced by a fuzzy topological space in view of the definition of Sostak [13]. We show that it is a fuzzy closure operator. Furthermore, it induces a fuzzy topology which is finer than a given fuzzy topology. We investigate some properties of fuzzy g-closure operators.

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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