RT Journal Article
T1 A characterization of reciprocal fuzzy preference structures and its compatibility with standard fuzzy preference structures
A1 Castiblanco, Fabián
A1 Franco De Los Ríos, Camilo A.
A1 Rodríguez González, Juan Tinguaro
A1 Montero De Juan, Francisco Javier
AB Fuzzy relations R : A² → [0, 1] are widely used in decision-making in order to represent degrees of preference between alternatives in A. Examining fuzzy relations, this paper first reflects on an inherent incompatibility inside the domain of reciprocal fuzzy preference relations and preference structures. Aiming at clarifying the semantics of reciprocal fuzzy relations by means of that of weak fuzzy relations, a general frame is then proposed for studying the transformation between them, based on the notion of reciprocal functions. Next, we show that reciprocal relations can be naturally endowed with a preference structure of their own,containing two relations respectively showing a semantics of strict preference and lack of preference. Finally, we study the compatibility between these reciprocal preference structures and the standard preference structures of weak fuzzy preference relations by means of an axiomatic approach, leading to a system of functional equations that is shown to admit different solutions, allowing to explicitly assign one of the available semantics for reciprocal preference relations.
PB Elsevier
SN 0165-0114
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/104908
UL https://hdl.handle.net/20.500.14352/104908
LA eng
NO Part of special issue "Decision and Optimization"
NO Ministerio de Ciencia, Innovación y Universidades
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 18 mar 2026