On Congruences and Homomorphisms on Some Non-deterministic Algebras

Abstract

Starting with the underlying motivation of developing a general theory of L-fuzzy sets where L is a multilattice (a particular case of non-deterministic algebra), we study the relationship between the crisp notions of congruence, homomorphism and substructure on some non-deterministic algebras which have been used in the literature, i.e. hypergroups, and join spaces. Moreover, we provide suitable extensions of these notions to the fuzzy case.

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Cite this paper

@inproceedings{Cabrera2009OnCA, title={On Congruences and Homomorphisms on Some Non-deterministic Algebras}, author={Inma P. Cabrera and Pablo Cordero and Gloria Guti{\'e}rrez and Javier Mart{\'i}nez and Manuel Ojeda-Aciego}, booktitle={IJCCI}, year={2009} }