数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 94-96.

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Continuous Order Homomorphism and bi-continuous Mapping

  

  1. Department of Mathematics.Yantui Teachers College; Henan  University; Luoyang Second Teachers College

  • 收稿日期:1995-12-20 出版日期:1996-09-30 发布日期:2024-12-31

Continuous Order Homomorphism and bi-continuous Mapping

  1. Department of Mathematics.Yantui Teachers College; Henan  University; Luoyang Second Teachers College
  • Received:1995-12-20 Online:1996-09-30 Published:2024-12-31

摘要: The relation of LF topology on set X to the classical topology is always important for us to understand LF topology. In this paper, we construct a bitopological space from a LF topologial space,and we show that for a continuous order homomorphism between two LF topological spaces there is a correspondent bicontinuous mapping between the constructed bitopological spaces.Let X be a set,L be a fuzzy lattice,use Lx denote all the fuzzy subsets of X use πx denote set X×{L\{ O, 1} }, P(πx) is power set of πx. Now we first define mapping, a of πx into itself as following.

Abstract: The relation of LF topology on set X to the classical topology is always important for us to understand LF topology. In this paper, we construct a bitopological space from a LF topologial space,and we show that for a continuous order homomorphism between two LF topological spaces there is a correspondent bicontinuous mapping between the constructed bitopological spaces.Let X be a set,L be a fuzzy lattice,use Lx denote all the fuzzy subsets of X use πx denote set X×{L\{ O, 1} }, P(πx) is power set of πx. Now we first define mapping, a of πx into itself as following.

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