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

Camilo Franco de los Ríos; Jens Leth Hougaard; Kurt Nielsen

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

Camilo Franco de los Ríos, Jens Leth Hougaard, Kurt Nielsen

Section for Production, Markets and Policy

Abstract

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 suggested
set 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 clearly
identifying the preference relational situation for all pairs of alternatives.

Original language	English
Publication date	30 Aug 2017
Number of pages	6
Publication status	Published - 30 Aug 2017
Event	Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems - Otsu, Shiga, Japan Duration: 27 Jun 2017 → 30 Jun 2017

Conference

Conference	Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems
Country/Territory	Japan
City	Otsu, Shiga
Period	27/06/2017 → 30/06/2017

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An axiomatic approach to the estimation of interval-valued preferences in multi-criteria decision modeling. / Franco de los Ríos, Camilo; Hougaard, Jens Leth ; Nielsen, Kurt.

2017. Paper presented at Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, Otsu, Shiga, Japan.

Research output: Contribution to conference › Paper › Research › peer-review

Franco de los Ríos, C, Hougaard, JL & Nielsen, K 2017, 'An axiomatic approach to the estimation of interval-valued preferences in multi-criteria decision modeling', Paper presented at Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, Otsu, Shiga, Japan, 27/06/2017 - 30/06/2017.

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

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