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Soft Computing
Published in: Soft Computing 2/2019

12-10-2017 | Methodologies and Application

Exploiting the priority weights from interval linguistic fuzzy preference relations

Authors: Fanyong Meng, Jie Tang, Zeshui Xu

Published in: Soft Computing | Issue 2/2019

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Abstract

Interval linguistic fuzzy preference relations (ILFPRs) are powerful tools to denote the decision makers’ uncertain qualitative preferences. To avoid the inconsistent ranking results, consistency analysis is very critical. This paper introduces a new additive consistency concept for ILFPRs, which satisfies all properties of the additive consistency concept for fuzzy preference relations. Then, a model to judging the additive consistency of ILFPRs is constructed. When ILFPRs are inconsistent, an approach to deriving additive consistent ILFPRs is presented. Considering the incomplete case, goal programming models to determining the missing values are established. Subsequently, a distance measure-based group consensus index is given to measuring the consensus of individual ILFPRs. Furthermore, a new method for group decision making with ILFPRs is developed, which is based on the additive consistency and consensus analysis. Finally, two numerical examples are offered to show the application of the developed procedure, and a comparison analysis is performed.
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Metadata
Title
Exploiting the priority weights from interval linguistic fuzzy preference relations
Authors
Fanyong Meng
Jie Tang
Zeshui Xu
Publication date
12-10-2017
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 2/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2878-y

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