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FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY DISTRIBUTIVE LATTICES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 8، شماره 5، دی 2011، صفحه 1-12 اصل مقاله (193.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.294 | ||
| نویسندگان | ||
| Abdelaziz Amroune* 1؛ Bijan Davvaz2 | ||
| 1Department of Mathematics, M’Sila University, P.O. Box 166, M’Sila 28000, Algeria | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fuzzy ordered relation؛ Fuzzy ordered set؛ Fuzzy lattice؛ Fuzzy Priestley space؛ Homomorphism of fuzzy lattices؛ Homomorphism of fuzzy Priestley spaces | ||
| مراجع | ||
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