Fuzzy order congruences on fuzzy posets

Authors

  • Jing Hao College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450000, China
  • Lankun Guo College of Information Science and Engineering, Hunan University, Changsha, 410082, China
  • Qingguo Li College of Mathematics and Econometrics, Hunan University, Chang- sha, 410082, China
Abstract:

Fuzzy order congruences play an important role in studying the categoricalproperties of fuzzy posets. In this paper, the correspondence between the fuzzyorder congruences and the fuzzy order-preserving maps is discussed. We focus onthe characterization of fuzzy order congruences on the fuzzy poset in terms ofthe fuzzy preorders containing the fuzzy partial order. At last, fuzzy completecongruences on fuzzy complete lattices are discussed.

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Journal title

volume 11  issue 6

pages  89- 109

publication date 2014-12-30

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