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Continuous Order Homomorphism and bi-continuous Mapping

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摘要 The relation of LFtopology on set X to the classical topology is always important for us to understand LFtopology. In this paper, we construct a bitopological space from a LFtopologial space,and we show that for a continuous order homomorphism between two LFtopological spaces there is a correspondent bicontinuous mapping between the constructed bitopological spaces.Let X be a set,L be a fuzzy lattice,use L^x denote all the fuzzy subsets of X use π_x denote set X×{L\{ O, 1} }, P(πx) is power set of π_x. Now we first define mapping, a of π_x into itself as following:
机构地区 Dpeartment
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第3期94-96,共3页 数学季刊(英文版)
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