• 제목/요약/키워드: intuitionistic interval-valued fuzzy interior(closure)

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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.

Intuitionistic Interval-Valued Fuzzy Topological Spaces

  • Lim, Pyung-Ki;Kim, Sun-Ho;Hur, Kul
    • 한국지능시스템학회논문지
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    • 제22권1호
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    • pp.126-134
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    • 2012
  • By using the concept of intuitionistic interval-valued fuzzy sets, we introduce the notion of intuitionistic interval-valued fuzzy topology. And we study some fundamental properties of intuitionistic interval-valued fuzzy topological spaces: First, we obtain analogues[see Theorem 3.11 and 3.12] of neighborhood systems in ordinary topological spaces. Second, we obtain the result[see Theorem 4.9] corresponding to "the 14-set Theorem" in ordinary topological spaces. Finally, we give the initial structure on intuitionistic interval-valued fuzzy topologies[see Theorem 5.9].