Abstract
This paper presents an interesting particular instance of the Preference-Aversion (P-A) model, which combines the rich expressive capability allowed by the bipolar approach of that model with the simplicity resulting from imposing additive reciprocity constraints on the basic, positive/negative standard fuzzy preference structures from which the P-A model is built. Thus, the proposed reciprocal P-A model is instead built from a pair of compatible reciprocal preference structures, respectively allowing to express preference/aversion as well as lack of preference/aversion. The conjunctive combination of those basic reciprocal structures and its subsequent refinement then leads to the complete reciprocal P-A structure, which offers a different and somehow wider spectrum of representable decisional notions than that of the standard fuzzy preference structures, and in which ambivalence, a conflicting equilibrium between alternatives, provides the most notable difference with respect to standard and reciprocal fuzzy preference structures.
This research has been partially supported by the Government of Spain (grant PGC2018-096509-B-100) and Complutense University of Madrid (group 910149).
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RodrÃguez, J.T., Franco, C., Montero, J. (2022). Reciprocal Preference-Aversion Structures. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1602. Springer, Cham. https://doi.org/10.1007/978-3-031-08974-9_7
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