Abstract
Starting with the underlying motivation of developing a general theory of L-fuzzy sets where L is a multilat- tice (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.
Citation
Please, cite this work as:
[Cab+09] I. P. Cabrera, P. Cordero, G. Gutiérrez, et al. “On Congruences and Homomorphisms on Some Non-deterministic Algebras”. In: IJCCI 2009 - Proceedings of the International Joint Conference on Computational Intelligence, Funchal, Madeira, Portugal, October 5-7, 2009. Ed. by A. D. Correia, A. C. Rosa and K. Madani. INSTICC Press, 2009, pp. 59-67.
@InProceedings{Cabrera2009b,
author = {Inma P. Cabrera and Pablo Cordero and Gloria Guti{’e}rrez and Javier Mart'and Manuel Ojeda-Aciego},
booktitle = {{IJCCI} 2009 - Proceedings of the International Joint Conference on Computational Intelligence, Funchal, Madeira, Portugal, October 5-7, 2009},
title = {On Congruences and Homomorphisms on Some Non-deterministic Algebras},
year = {2009},
editor = {Ant{’o}nio Dourado Correia and Agostinho C. Rosa and Kurosh Madani},
pages = {59–67},
publisher = {{INSTICC} Press},
abstract = {Starting with the underlying motivation of developing a general theory of L-fuzzy sets where L is a multilat- tice (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.},
bibsource = {dblp computer science bibliography, https://dblp.org},
biburl = {https://dblp.org/rec/conf/ijcci/CabreraCGMO09.bib},
timestamp = {Tue, 29 Aug 2023 01:00:00 +0200},
}