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)

Semantics for Reciprocal Preferences

Authors
Fabián Castiblanco, Camilo Franco, J. Tinguaro Rodríguez, Javier Montero
Corresponding Author
Camilo Franco
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.041How to use a DOI?
Keywords
Preference relations, fuzzy preference structures, reciprocity, additive reciprocity, preference semantics
Abstract

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.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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  - https://doi.org/10.2991/asum.k.210827.041
ID  - Castiblanco2021
ER  -