Selection of a Representative Value Function for Robust Ordinal Regression in Group Decision Making

Miłosz Kadziński (), Salvatore Greco () and Roman Słowiński ()
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Miłosz Kadziński: Poznań University of Technology
Roman Słowiński: Poznań University of Technology

Group Decision and Negotiation, 2013, vol. 22, issue 3, No 4, 429-462

Abstract: Abstract In this paper, we introduce the concept of a representative value function in a group decision context. We extend recently proposed methods UTAGMS-GROUP and UTADISGMS-GROUP with selection of a compromise and collective preference model which aggregates preferences of several decision makers (DMs) and represents all instances of preference models compatible with preference information elicited from DMs. The representative value function is built on results of robust ordinal regression, so its representativeness can be interpreted in terms of robustness concern. We propose a few procedures designed for multiple criteria ranking, choice, and sorting problems. The use of these procedures is conditioned by both satisfying different degrees of consistency of the preference information provided by all DMs, as well as by some properties of particular decision making situations. The representative value function is intended to help the DMs to understand the robust results, and to provide them with a compromise result in case of conflict between the DMs.

Keywords: Group decision; Robust ordinal regression; Additive value function; Representative value function; Compromise (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10726-011-9277-z

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