Semantics for Reciprocal Preferences
- 10.2991/asum.k.210827.041How to use a DOI?
- Preference relations, fuzzy preference structures, reciprocity, additive reciprocity, preference semantics
Examining fuzzy preference relations together with the reciprocity condition, and a potential conceptual conflict arising between reciprocal fuzzy preferences and fuzzy preference structures, it is claimed that reciprocal preferences cannot be properly understood according to a weak nor a strict preference predicate. Therefore, as the elements of a standard preference structure, namely strict preference, weak preference, indifference and incomparability, cannot be properly distinguished from reciprocal fuzzy preferences, the concept of lack of preference emerges as a natural category, in fact allowing to understand reciprocal fuzzy preferences according to the standard fuzzy preference model. Furthermore, the basic notion of lack of preference is shown to group all the non-preference relations into a basic, unifying concept, providing an adequate decomposition of the meaning of any reciprocal fuzzy preference relation.
- © 2021, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Fabián Castiblanco AU - Camilo Franco AU - J. Tinguaro Rodríguez AU - Javier Montero PY - 2021 DA - 2021/08/30 TI - Semantics for Reciprocal Preferences BT - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP) PB - Atlantis Press SP - 306 EP - 313 SN - 2589-6644 UR - https://doi.org/10.2991/asum.k.210827.041 DO - 10.2991/asum.k.210827.041 ID - Castiblanco2021 ER -