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Fuzzy order congruences on fuzzy posets | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 11، شماره 6، اسفند 2014، صفحه 89-109 اصل مقاله (492.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1750 | ||
| نویسندگان | ||
| Jing Hao1؛ Qingguo Li* 2؛ Lankun Guo3 | ||
| 1College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450000, China | ||
| 2College of Mathematics and Econometrics, Hunan University, Chang- sha, 410082, China | ||
| 3College of Information Science and Engineering, Hunan University, Changsha, 410082, China | ||
| چکیده | ||
| Fuzzy order congruences play an important role in studying the categorical properties of fuzzy posets. In this paper, the correspondence between the fuzzy order congruences and the fuzzy order-preserving maps is discussed. We focus on the characterization of fuzzy order congruences on the fuzzy poset in terms of the fuzzy preorders containing the fuzzy partial order. At last, fuzzy complete congruences on fuzzy complete lattices are discussed. | ||
| کلیدواژهها | ||
| Fuzzy poset؛ Fuzzy relation؛ Fuzzy order congruence؛ Fuzzy preorder؛ Fuzzy complete congruence | ||
| مراجع | ||
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