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On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings

Zeshui Xu () and Xiaoqiang Cai ()
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Zeshui Xu: PLA University of Science and Technology
Xiaoqiang Cai: The Chinese University of Hong Kong

Group Decision and Negotiation, 2013, vol. 22, issue 6, No 1, 997-1019

Abstract: Abstract Uncertainty is a common phenomenon in our real world. Interval utility values and interval preference orderings are two of the simplest and most convenient tools to describe uncertain preferences in decision making. In this paper, we investigate consensus problems in group decision making with interval utility values and interval preference orderings. We first establish their transformation relations, and give a formula for calculating the association coefficients of individual uncertain preferences and group ones. We then develop a consensus procedure for group decision making with interval utility values and interval preference orderings, which takes interval utility values as the uniform preference representation. This procedure can be reduced to a series of processes for dealing with some special group decision making situations, such as: group decision making with utility values and preference orderings, group decision making with interval utility values, group decision making with interval preference orderings, etc. Finally, we illustrate the applications of the developed procedures with two practical examples.

Keywords: Group decision and negotiation; Consensus; Interval utility values; Interval preference orderings (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10726-012-9298-2

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