Fuzzy order congruences on fuzzy posets

Abstract

Fuzzy order congruences play an important role in studying the categorical<br />properties of fuzzy posets. In this paper, the correspondence between the fuzzy<br />order congruences and the fuzzy order-preserving maps is discussed. We focus on<br />the characterization of fuzzy order congruences on the fuzzy poset in terms of<br />the fuzzy preorders containing the fuzzy partial order. At last, fuzzy complete<br />congruences on fuzzy complete lattices are discussed.