Fuzzy Sets and Systems
Lattice of fuzzy congruences in inverse semigroups
Fuzzy Sets and Systems
On fuzzy congruence of a near-ring module
Fuzzy Sets and Systems
A New Algebraic Tool for Automatic Theorem Provers
Annals of Mathematics and Artificial Intelligence
Fuzzy logic programming via multilattices
Fuzzy Sets and Systems
Lattice structure on fuzzy congruence relations of a hypergroupoid
Information Sciences: an International Journal
A coalgebraic approach to non-determinism: Applications to multilattices
Information Sciences: an International Journal
Non-deterministic algebraic structures for soft computing
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part II
On residuation in multilattices: Filters, congruences, and homomorphisms
Fuzzy Sets and Systems
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In this work we study the structure of the set of congruences on several hyperstructures with one and two (hyper-)operations. On the one hand, we show sufficient conditions guaranteeing that the set of congruences of an nd-groupoid forms a complete lattice (which, in turn, is a sublattice of the lattice of equivalence relations on the nd-groupoid). On the other hand, we focus on the study of the congruences on a multilattice; specifically, we prove that the set of congruences on an m-distributive multilattice forms a complete lattice and, moreover, show that the classical relationship between homomorphisms and congruences can be adequately adapted to work with multilattices under suitable restrictions.