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Authors: I. P. Cabrera ; P. Cordero ; G. Gutiérrez ; J. Martínez and M. Ojeda-Aciego

Affiliation: University of Málaga, Spain

ISBN: 978-989-674-014-6

Keyword(s): L-fuzzy sets, Non-deterministic algebra, Congruence, Homomorphism.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing ; Soft Computing and Intelligent Agents

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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Paper citation in several formats:
Cabrera I.; Cordero P.; Gutiérrez G.; Martínez J.; Ojeda-Aciego M. and (2009). ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS.In Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009) ISBN 978-989-674-014-6, pages 59-67. DOI: 10.5220/0002313300590067

@conference{icfc09,
author={I. P. Cabrera and P. Cordero and G. Gutiérrez and J. Martínez and M. Ojeda{-}Aciego},
title={ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009)},
year={2009},
pages={59-67},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002313300590067},
isbn={978-989-674-014-6},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009)
TI - ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS
SN - 978-989-674-014-6
AU - Cabrera, I.
AU - Cordero, P.
AU - Gutiérrez, G.
AU - Martínez, J.
AU - Ojeda-Aciego, M.
PY - 2009
SP - 59
EP - 67
DO - 10.5220/0002313300590067

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