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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/15434

Title: On qualitative multi-attribute group decision making and its consensus measure: A probability based perspective
Authors: Yan, Hong-Bin
Ma, Tieju
Huynh, Van-Nam
Keywords: Linguistic MAGDM
Random preference
Stochastic dominance
Consensus measure
Issue Date: 2016-09-12
Publisher: Elsevier
Magazine name: Omega
Volume: 70
Start page: 94
End page: 117
DOI: 10.1016/j.omega.2016.09.004
Abstract: This paper focuses on qualitative multi-attribute group decision making (MAGDM) with linguistic information in terms of single linguistic terms and/or flexible linguistic expressions. To do so, we propose a new linguistic decision rule based on the concepts of random preference and stochastic dominance, by a probability based interpretation of weight information. The importance weights and the concept of fuzzy majority are incorporated into both the multi-attribute and collective decision rule by the so-called weighted ordered weighted averaging operator with the input parameters expressed as probability distributions over a linguistic term set. Moreover, a probability based method is proposed to measure the consensus degree between individual and collective overall random preferences based on the concept of stochastic dominance, which also takes both the importance weights and the fuzzy majority into account. As such, our proposed approaches are based on the ordinal semantics of linguistic terms and voting statistics. By this, on one hand, the strict constraint of the uniform linguistic term set in linguistic decision making can be released; on the other hand, the difference and variation of individual opinions can be captured. The proposed approaches can deal with qualitative MAGDM with single linguistic terms and flexible linguistic expressions. Two application examples taken from the literature are used to illuminate the proposed techniques by comparisons with existing studies. The results show that our proposed approaches are comparable with existing studies.
Rights: Copyright (C)2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International license (CC BY-NC-ND 4.0). [http://creativecommons.org/licenses/by-nc-nd/4.0/] NOTICE: This is the author’s version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Hong-Bin Yan, Tieju Ma, Van-Nam Huynh, Omega, 70, 2016, 94-117, http://dx.doi.org/10.1016/j.omega.2016.09.004
URI: http://hdl.handle.net/10119/15434
Material Type: author
Appears in Collections:a10-1. 雑誌掲載論文 (Journal Articles)

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