• Title/Summary/Keyword: category of lattice fuzzy topological spaces

Search Result 2, Processing Time 0.016 seconds

A generalization of a lattice fuzzy topology

  • Lee, Seok-Jong;Park, Eun-Suk;Lee, Eun-Pyo
    • Communications of the Korean Mathematical Society
    • /
    • v.12 no.1
    • /
    • pp.113-126
    • /
    • 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.

  • PDF

Extension of L-Fuzzy Topological Tower Spaces

  • Lee Hyei Kyung
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.15 no.3
    • /
    • pp.389-394
    • /
    • 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.