35 research outputs found
The L-Fuzzy Nakano Hypergroup
In this paper we start with a lattice (X, and define, in terms of #, a family of crisp hyperoperations X). We show that, for every p, the hyperalgebra p ) is a join space and the hyperalgebra (X, is very similar to a hyperlattice. Then we use the hyperoperations p as p-cuts to introduce an L-fuzzy hyperoperation and show that (X, is an L-fuzzy join space and the hyperalgebra (X, is very similar to an L-fuzzy hyperlattice
Some Remarks on Congruences obtained from the L-Fuzzy Nakano Hyperoperation
In this paper we study relations which are congruences with respect to p , where p is the p-cut of the L-fuzzy hyperoperation #