Fuzzy order congruences on fuzzy posets
نویسندگان
1 College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450000, China
2 College of Mathematics and Econometrics, Hunan University, Chang- sha, 410082, China
3 College of Information Science and Engineering, Hunan University, Changsha, 410082, China
doi
10.22111/ijfs.2014.1750چکیده
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.