Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum
Susana Díaz; Susana Montes; Bernard De Baets
Kybernetika (2004)
- Volume: 40, Issue: 1, page [71]-88
- ISSN: 0023-5954
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topDíaz, Susana, Montes, Susana, and De Baets, Bernard. "Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum." Kybernetika 40.1 (2004): [71]-88. <http://eudml.org/doc/33686>.
@article{Díaz2004,
abstract = {Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures. In particular, we depart from a large preference relation that is transitive w.r.t. the nilpotent minimum t-norm and decompose it into an indifference and strict preference relation by means of generators based on t-norms, i. e. using a Frank t-norm as indifference generator. We identify the strongest type of transitivity these indifference and strict preference components show, both in general and for the important class of weakly complete large preference relations.},
author = {Díaz, Susana, Montes, Susana, De Baets, Bernard},
journal = {Kybernetika},
keywords = {fuzzy relation; indifference; nilpotent minimum; strict preference; transitivity; fuzzy relation; indifference; nilpotent minimum; strict preference; transitivity},
language = {eng},
number = {1},
pages = {[71]-88},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum},
url = {http://eudml.org/doc/33686},
volume = {40},
year = {2004},
}
TY - JOUR
AU - Díaz, Susana
AU - Montes, Susana
AU - De Baets, Bernard
TI - Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 1
SP - [71]
EP - 88
AB - Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures. In particular, we depart from a large preference relation that is transitive w.r.t. the nilpotent minimum t-norm and decompose it into an indifference and strict preference relation by means of generators based on t-norms, i. e. using a Frank t-norm as indifference generator. We identify the strongest type of transitivity these indifference and strict preference components show, both in general and for the important class of weakly complete large preference relations.
LA - eng
KW - fuzzy relation; indifference; nilpotent minimum; strict preference; transitivity; fuzzy relation; indifference; nilpotent minimum; strict preference; transitivity
UR - http://eudml.org/doc/33686
ER -
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