Some remarks on congruences obtained from the L-fuzzy Nakano hyperoperation

In this paper we study relations which are congruences with respect to and p, where pis the p-cut of the L-fuzzy hyperoperation . The main idea is to start from an equivalence relation R1 which is a congruence with respect to and 1and, for each p X, construct an equivalence relation Rp which is a congruence with respect to and p. Furthermore, for each x Rp we construct a quotient hyperoperation p and we show that the hyperalgebra X/Rp, p is a join space and the hyperalgebra X/Rp, p, p is a hyperlattice. AMS Classification: 06B99, 06D30, 08A72, 03E72, 20N20.

• Type: Journal
• Year: 2006
• Where: ISCI
• Authors: K. Serafimidis, Athanasios Kehagias
• Keywords: Equivalence Relation, Equivalence Relation Rp, ISCI 2006, Main Idea