Direct Iterative Procedures for Consensus Building with Additive Preference Relations Based on the Discrete Assessment Scale

Zhibin Wu (), Jie Xiao and Ivan Palomares
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Zhibin Wu: Sichuan University
Jie Xiao: Sichuan University
Ivan Palomares: University of Bristol

Group Decision and Negotiation, 2019, vol. 28, issue 6, No 7, 1167-1191

Abstract: Abstract Individual consistency and group consensus are both important when seeking reliable and satisfying solutions for group decision making (GDM) problems using additive preference relations (APRs). In this paper, two new algorithms are proposed to facilitate the consensus reaching process, the first of which is used to improve the individual consistency level, and the second of which is designed to assist the group to achieve a predefined consensus level. Unlike previous GDM studies for consistency and consensus building, the proposed algorithms are essentially heuristic, modify only some of the elements in APRs to reduce the number of preference modifications in the consistency and consensus process, and have modified preferences that belong to the original evaluation scale to make the generated suggestions easier to understand. In particular, the consensus algorithm ensures that the individual consistency level is still acceptable when the predefined consensus level is achieved. Finally, classical examples and simulations are given to demonstrate the effectiveness of the proposed approaches.

Keywords: Group decision making; Additive preference relation; Consistency; Consensus (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10726-019-09636-3

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