ON CONGRUENCES AND HOMOMORPHISMS ON SOME NON-DETERMINISTIC ALGEBRAS

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

2009

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 Harvard Style

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 - Volume 1: ICFC, (IJCCI 2009) ISBN 978-989-674-014-6, pages 59-67. DOI: 10.5220/0002313300590067


in Bibtex Style

@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},
}


in EndNote Style

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