An axiomatic approach to the estimation of interval-valued preferences in multi-criteria decision modeling

TY - CONF

T1 - An axiomatic approach to the estimation of interval-valued preferences in multi-criteria decision modeling

AU - Franco de los Ríos, Camilo

AU - Hougaard, Jens Leth

AU - Nielsen, Kurt

PY - 2017/8/30

Y1 - 2017/8/30

N2 - In this paper we explore multi-dimensional preference estimation from imprecise (interval) data. Focusing on different multi-criteria decision models, such as PROMETHEE, ELECTRE, TOPSIS or VIKOR, and their extensions dealing with imprecise data, preference modeling is examined with respect to a suggestedset of axioms. Their performance is evaluated and some specific problems are identified, regarding the satisfaction of the proposed axioms as well as some difficulty on how to properly understand the uncertainty of the interval-valued outcome and its respective preference situation. In consequence, the Weighted Overlap Dominance (WOD) method is examined, which has been explicitly designed for interval data, thus satisfying the proposed axioms, and clearlyidentifying the preference relational situation for all pairs of alternatives.

AB - In this paper we explore multi-dimensional preference estimation from imprecise (interval) data. Focusing on different multi-criteria decision models, such as PROMETHEE, ELECTRE, TOPSIS or VIKOR, and their extensions dealing with imprecise data, preference modeling is examined with respect to a suggestedset of axioms. Their performance is evaluated and some specific problems are identified, regarding the satisfaction of the proposed axioms as well as some difficulty on how to properly understand the uncertainty of the interval-valued outcome and its respective preference situation. In consequence, the Weighted Overlap Dominance (WOD) method is examined, which has been explicitly designed for interval data, thus satisfying the proposed axioms, and clearlyidentifying the preference relational situation for all pairs of alternatives.

M3 - Paper

T2 - Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems

Y2 - 27 June 2017 through 30 June 2017

ER -