Some remarks on congruences obtained from the L-fuzzy Nakano hyperoperation
نویسندگان
چکیده
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 (
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In this paper we study the L-fuzzy hyperoperation t, which generalizes the crisp Nakano hyperoperation t1. We construct t using a family of crisp tp hyperoperations as its p-cuts. The hyperalgebra (X,t,∧) can be understood as an L-fuzzy hyperlattice. AMS Classification: 06B99, 06D30, 08A72, 03E72, 20N20.
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ورودعنوان ژورنال:
- Inf. Sci.
دوره 176 شماره
صفحات -
تاریخ انتشار 2006