FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY DISTRIBUTIVE LATTICES
نویسندگان
1 Department of Mathematics, Yazd University, Yazd, Iran.
2 Department of Mathematics, M’Sila University, P.O. Box 166, M’Sila 28000, Algeria
doi
10.22111/ijfs.2011.294چکیده
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.
