FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY DISTRIBUTIVE LATTICES

Document Type : Research Paper

Authors

1 Department of Mathematics, M’Sila University, P.O. Box 166, M’Sila 28000, Algeria

2 Department of Mathematics, Yazd University, Yazd, Iran

Abstract

The starting point of this paper is given by Priestley’s papers,
where a theory of representation of distributive lattices is presented. The purpose
of this paper is to develop a representation theory of fuzzy distributive
lattices in the finite case. In this way, some results of Priestley’s papers are
extended. In the main theorem, we show that the category of finite fuzzy
Priestley spaces is equivalent to the dual of the category of finite fuzzy distributive
lattices. Several examples are also presented.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 8, Issue 5 - Serial Number 5
September and October 2011
Pages 1-12

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