ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS

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

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Paper

ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS

Topics: Approximate Reasoning and Fuzzy Inference; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic; Soft Computing and Intelligent Agents

In Proceedings of the International Joint Conference on Computational Intelligence - Volume 0IJCCI, 59-67, 2009 , Funchal - Madeira, Portugal

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

Affiliation: University of Málaga, Spain

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. and Ojeda-Aciego, M. (2009). ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS. In Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC; ISBN 978-989-674-014-6; ISSN 2184-3236, SciTePress, 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 (IJCCI 2009) - ICFC},
year={2009},
pages={59-67},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002313300590067},
isbn={978-989-674-014-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC
TI - ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS
SN - 978-989-674-014-6
IS - 2184-3236
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
PB - SciTePress