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2006

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

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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.
K. Serafimidis, Athanasios Kehagias
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where ISCI
Authors K. Serafimidis, Athanasios Kehagias
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