• 제목/요약/키워드: Fuzzy topological spaces

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Delta Closure and Delta Interior in Intuitionistic Fuzzy Topological Spaces

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권4호
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    • pp.290-295
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    • 2012
  • Due to importance of the concepts of ${\theta}$-closure and ${\delta}$-closure, it is natural to try for their extensions to fuzzy topological spaces. So, Ganguly and Saha introduced and investigated the concept of fuzzy ${\delta}$-closure by using the concept of quasi-coincidence in fuzzy topological spaces. In this paper, we will introduce the concept of ${\delta}$-closure in intuitionistic fuzzy topological spaces, which is a generalization of the ${\delta}$-closure by Ganguly and Saha.

Fuzzy r-minimal Continuous Functions Between Fuzzy Minimal Spaces and Fuzzy Topological Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권2호
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    • pp.124-127
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    • 2010
  • In this paper, we introduce the concepts of fuzzy r-minimal continuous function and fuzzy r-minimal open function between a fuzzy r-minimal space and a fuzzy topological space. We also investigate characterizations and properties for such functions.

CATEGORICAL PROPERTIES OF INTUITIONISTIC FUZZY TOPOLIGICAL SPACES

  • Lee, Seok-Jong;Lee, Eun-Pyo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.225-230
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    • 1998
  • In this paper, we introduce the concepts of intuitionistic fuzzy points and intuitionistic fuzzy neighborhoods. We investigate properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and show that the category of Chang's fuzzy topological spaces is a bireflective full subcategory of that of intuitionistic fuzzy topogical spaces.

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Fuzzy r-derived Sets in Fuzzy Topological Spaces

  • Kim, Young-Sun
    • 한국지능시스템학회논문지
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    • 제9권6호
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    • pp.644-649
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    • 1999
  • in this paper we introduce the notions of fuzzy r-adherent points fuzzy r-accumulation points and fuzzy r-derived sets in fuzzy topological spaces and investigate some of their properties.

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$\alpha$-COMPACT FUZZY TOPOLOGICAL SPACES

  • Kim, J.K.
    • Journal of applied mathematics & informatics
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    • 제1권1호
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    • pp.79-84
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    • 1994
  • The purpose of this paper is to introduce and discuss the concept of ${alpha}$-compactness for fuzzy topological spaces. And we obtain a product theorem for an arbitrary product of ${alpha}$-compact fuzzy spaces.

OPERATIONS ON FUZZY TOPOLOGICAL SPACES

  • 박진한;박진근;박성준
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.59-62
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    • 2000
  • In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

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Mated Fuzzy Topological Spaces

  • Lee, Eun-Pyo;Im, Young-Bin
    • 한국지능시스템학회논문지
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    • 제11권2호
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    • pp.161-165
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    • 2001
  • We introduce the concept of mated fuzzy topological spaces and then investigate some of their properties.

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