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https://open.uns.ac.rs/handle/123456789/31522
Title: | Poset-valued preference relations | Authors: | Janis V. Montes Susana Seselja Branimir Tepavcevic Andreja |
Issue Date: | 2015 | Journal: | Kybernetika | Abstract: | 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. | URI: | https://open.uns.ac.rs/handle/123456789/31522 | ISSN: | 0023-5954 | DOI: | 10.14736/kyb-2015-5-0747 |
Appears in Collections: | PMF Publikacije/Publications |
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