research-article

An approach to incomplete multiplicative preference relations and its application in group decision making

Authors:

Xiaohong ChenAuthors Info & Claims

Information Sciences—Informatics and Computer Science, Intelligent Systems, Applications: An International Journal, Volume 309, Issue C

Pages 119 - 137

https://doi.org/10.1016/j.ins.2015.03.020

Published: 10 July 2015 Publication History

Abstract

To measure the consistency of multiplicative preference relations, a reasonable concept of consistent multiplicative preference relations is defined, and the multiplicative geometric consistent index (MGCI) is presented. In a simulation method, the average values of the MGCI are studied. Considering incomplete multiplicative preference relations, a consistency-based linear programming model is constructed, which is optimal from the point of view of consistency with respect to the known judgments. In a group decision making context, the group consensus index (GCOI) is given to measure the consensus of individual multiplicative preference relations. Then, the hybrid weighted geometric mean (HWGM) operator is defined to calculate the collective multiplicative preference relation. Based on the consistency and consensus analysis, an approach to group decision making with incomplete multiplicative preference relations is developed. Furthermore, we briefly research the application of the new method to incomplete interval multiplicative preference relations and incomplete fuzzy preference relations. Meanwhile, the associated examples are offered to show the practicability and efficiency of the proposed procedure.

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Cited By

Zhang JLiu FLiu ZPérez ICabrerizo F(2024)Existence and simulation of multiple solutions to an optimization model for completing incomplete fuzzy preference relationsApplied Intelligence10.1007/s10489-024-05667-954:19(9395-9411)Online publication date: 1-Oct-2024
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An approach to incomplete multiplicative preference relations and its application in group decision making
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cover image Information Sciences: an International Journal

Information Sciences: an International Journal Volume 309, Issue C

July 2015

181 pages

ISSN:0020-0255

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Copyright © Elsevier Inc.

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Elsevier Science Inc.

United States

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Published: 10 July 2015

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Cited By

Zhang JLiu FLiu ZPérez ICabrerizo F(2024)Existence and simulation of multiple solutions to an optimization model for completing incomplete fuzzy preference relationsApplied Intelligence10.1007/s10489-024-05667-954:19(9395-9411)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1007/s10489-024-05667-9
Ren RWang HMeng XZhao M(2023)The two stage group decision making model for massive alternatives based on the difference scale of expert evaluationJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23361845:5(8837-8858)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.3233/JIFS-233618
Park CAshraf SRehman NAbdullah SAslam M(2021)Evaluation of the product quality of the online shopping platform using t-spherical fuzzy preference relationsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-20293041:6(6245-6262)Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.3233/JIFS-202930
Nie RWang JWang T(2019)A three-cycle decision-making selection mechanism with intuitionistic trapezoidal fuzzy preference relationsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-18130636:6(5409-5422)Online publication date: 1-Jan-2019
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Meng FTang JXu Z(2019)Deriving priority weights from intuitionistic fuzzy multiplicative preference relationsInternational Journal of Intelligent Systems10.1002/int.2217934:11(2937-2969)Online publication date: 29-Aug-2019
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Sahu MGupta AMehra A(2018)Acceptably consistent incomplete interval-valued intuitionistic multiplicative preference relationsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.5555/3288442.328847322:22(7463-7477)Online publication date: 1-Nov-2018
https://dl.acm.org/doi/10.5555/3288442.3288473
Meng FChen XZhang Y(2018)Consistency-based linear programming models for generating the priority vector from interval fuzzy preference relationsApplied Soft Computing10.1016/j.asoc.2015.12.04341:C(247-264)Online publication date: 27-Dec-2018
https://dl.acm.org/doi/10.1016/j.asoc.2015.12.043
Kang BDeng YSadiq R(2018)Total utility of Z-numberApplied Intelligence10.1007/s10489-017-1001-548:3(703-729)Online publication date: 1-Mar-2018
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Liang RWang JZhang H(2018)A multi-criteria decision-making method based on single-valued trapezoidal neutrosophic preference relations with complete weight informationNeural Computing and Applications10.1007/s00521-017-2925-830:11(3383-3398)Online publication date: 1-Dec-2018
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Meng FTang JAn QChen X(2018)A new procedure for hesitant multiplicative preference relationsInternational Journal of Intelligent Systems10.1002/int.2207734:5(819-857)Online publication date: 4-Dec-2018
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