title: The lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups.
abstract: The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t ∈ [0,1].
authors.affiliation: Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China.
authors.forename: Shoufeng
authors.initials: S
authors.lastname: Wang
mesh_terms: D017143:Fuzzy Logic; D008962:Models, Theoretical