Dealing with Interaction Between Bipolar Multiple Criteria Preferences in PROMETHEE Methods

TL;DR

This paper explores a bipolar PROMETHEE method for MCDA, integrating positive and negative preferences using Robust Ordinal Regression to derive robust decision conclusions considering all compatible preference parameters.

Contribution

It introduces a bipolar approach to PROMETHEE with ROR, enabling comprehensive and robust preference aggregation in MCDA.

Findings

Effective aggregation of bipolar preferences demonstrated

Robust conclusions derived considering all compatible parameters

Enhanced decision support through the bipolar PROMETHEE method

Abstract

In this paper, we consider the bipolar approach to Multiple Criteria Decision Analysis (MCDA). In particular we aggregate positive and negative preferences by means of the bipolar PROMETHEE method. To elicit preferences we consider Robust Ordinal Regression (ROR) that has been recently proposed to derive robust conclusions through the use of the concepts of possible and necessary preferences. It permits to take into account the whole set of preference parameters compatible with the preference information provided by the Decision Maker (DM).