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2. Poset-valued preference relations

Creator:
Janiš, Vladimír, Montes, Susana, Šešelja, Branimir, and Tepavčevič, Andreja
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
relation, poset, order reversing involutions, weakly orthogonal poset, and transitivity
Language:
English
Description:
In decision processes some objects may not be comparable with respect to a preference relation, especially if several criteria are considered. To provide a model for such cases a poset valued preference relation is introduced as a fuzzy relation on a set of alternatives with membership values in a partially ordered set. We analyze its properties and prove the representation theorem in terms of particular order reversing involution on the co-domain poset. We prove that for every set of alternatives there is a poset valued preference whose cut relations are all relations on this domain. We also deal with particular transitivity of such preferences.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public