Threshold-Enhanced PROMETHEE Group Decision Support under Uncertainties

Hsu-Shih Shih,Anna M. Gil-Lafuente

doi:10.1155/2021/5594074

Abstract

As threshold determination is arduous when using PROMETHEE (Preference Ranking Organization METHod for Enrichment Evaluations) to make decisions, this study proposes a comprehensive PROMETHEE-based group decision support for covering the uncertainties of threshold determination, risk preferences, and the evaluation itself. To reduce the difficulty on threshold determination, it explicitly offers statistical aggregation of individuals’ indifference and preference thresholds so as to obtain benefits from multiple sources of knowledge and experience. Three typical combinations are characterized that reflect conservative, balanced, and aggressive group preferences. We also derive 6 properties to illustrate the effects of threshold changes on preference changes. Despite variances among the individual rankings of alternatives, the rank differences within the group decisions do converge by the illustrative example. A larger interval of a conservative group preference generates more diverse ranks versus the other two group preferences. Moreover, PROMETHEE III has a power on managing inaccurate measurement. The introduction of S-shaped functions has the benefit of fitting behavioral decision making under uncertainty. Integrating these approaches together for a decision support, our proposal is less affected by rank variance and coherent with traditional group PROMETHEE under differentiated decision power.

Highlights

Preference Ranking Organization METHod for Enrichment Evaluations (PROMETHEE) [1] is one outranking approach among various multicriteria decision making (MCDM) techniques
Another factor related to the risk preference of decision makers, or behavioral decision making under uncertainty, is formulated by an S-shaped value function of the prospect theory (PT) [5]. ese uncertainties can be alleviated from the collective knowledge of individuals in a group [6], prompting this research to set up PROMETHEE-based group decision support for uncertainties
To determine the parameters for the S-shaped function, we demonstrate the parameter sets in Table 2 for the decision makers (DMs), who accept Abdellaoui et al.’s suggestion [57] to describe their risky behavior for the PROMETHEE function

Summary

Introduction

Preference Ranking Organization METHod for Enrichment Evaluations (PROMETHEE) [1] is one outranking approach among various multicriteria decision making (MCDM) techniques. A second type of uncertainties concerns the difficult determination of thresholds in PROMETHEE Another factor related to the risk preference of decision makers, or behavioral decision making under uncertainty, is formulated by an S-shaped value function of the prospect theory (PT) [5]. The targeted problems formulated by fuzzy sets are defined in different preference structures compared to traditional approaches [15, 16] Another gap appears in the group decision environment, because there are not many works outside the structure of Macharis et al.’s groupsupported PROMETHEE procedure [8]. E proposed group decision support enhances traditional group-supported PROMETHEE procedure [8] with the ability at processing a few uncertainties It has flexibility in coherence with traditional approaches by adjusting the corresponding parameters.

Literature Review

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Case Description