A note on the lattice of weak L-valued congruences on the group of prime order
Weak fuzzy congruences were examined by the authors in a previous paper [Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 15, No.1, 199-207 (1985; Zbl 0599.08005)]. Now they prove that any weak fuzzy congruence on a finite group of prime order admits at most three different membership values: \(R(e,e)=1\), \(R(x,x)=p\geq R(x,y)=q\) for \(x\neq e\), \(y\neq x\).
scientific article; zbMATH DE number 4010581