• 제목/요약/키워드: category of lattice fuzzy topological spaces

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A generalization of a lattice fuzzy topology

  • Lee, Seok-Jong;Park, Eun-Suk;Lee, Eun-Pyo
    • 대한수학회논문집
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    • 제12권1호
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    • pp.113-126
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    • 1997
  • In this paper we introduce a new definition of a lattice fuzzy topology which is a generalization of Lowen's fuzzy topology and show that the category of Lowen's fuzzy topological spaces is a bireflective full subcategory of the category of lattice fuzzy topological spaces.

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Extension of L-Fuzzy Topological Tower Spaces

  • Lee Hyei Kyung
    • 한국지능시스템학회논문지
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    • 제15권3호
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    • pp.389-394
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    • 2005
  • The purpose of this paper is to introduce the notions of L-fuzzy topological towers by using a completely distributive lattic L and show that the category L-FPrTR of L-fuzzy pretopoplogical tower spaces and the category L-FPsTR of L-fuzzy pseudotopological tower spaces are extensional topological constructs. And we show that L-FPsTR is the cartesian closed topological extension of L-FPrTR. Hence we show that L-FPsTR is a topological universe.