Consensus Building With Individual Consistency Control in Group Decision Making

The individual consistency and the consensus degree are two basic measures to conduct group decision making with reciprocal preference relations. The existing frameworks to manage individual consistency and consensus degree have been investigated intensively and follow a common resolution scheme com...

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Published in:	IEEE transactions on fuzzy systems Vol. 27; no. 2; pp. 319 - 332
Main Authors:	Li, Cong-Cong, Rodriguez, Rosa M., Martinez, Luis, Dong, Yucheng, Herrera, Francisco
Format:	Journal Article
Language:	English
Published:	New York IEEE 01-02-2019 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Consensus Consistency Decision making Design optimization Fuzzy set theory group decision making (GDM) Numerical analysis Optimization preference relations
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Abstract	The individual consistency and the consensus degree are two basic measures to conduct group decision making with reciprocal preference relations. The existing frameworks to manage individual consistency and consensus degree have been investigated intensively and follow a common resolution scheme composed by the two phases: the consistency improving process, and the consensus reaching process. But in these frameworks, the individual consistency will often be destroyed in the consensus reaching process, leading to repeat the consistency improving process, which is time consuming. In order to avoid repeating the consistency improving process, a consensus reaching process with individual consistency control is proposed in this paper. This novel consensus approach is based on the design of an optimization-based consensus rule, which can be used to determine the adjustment range of each preference value guaranteeing the individual consistency across the process. Finally, theoretical and numerical analysis are both used to justify the validity of our proposal.
AbstractList	The individual consistency and the consensus degree are two basic measures to conduct group decision making with reciprocal preference relations. The existing frameworks to manage individual consistency and consensus degree have been investigated intensively and follow a common resolution scheme composed by the two phases: the consistency improving process, and the consensus reaching process. But in these frameworks, the individual consistency will often be destroyed in the consensus reaching process, leading to repeat the consistency improving process, which is time consuming. In order to avoid repeating the consistency improving process, a consensus reaching process with individual consistency control is proposed in this paper. This novel consensus approach is based on the design of an optimization-based consensus rule, which can be used to determine the adjustment range of each preference value guaranteeing the individual consistency across the process. Finally, theoretical and numerical analysis are both used to justify the validity of our proposal.
Author	Li, Cong-Cong Herrera, Francisco Martinez, Luis Dong, Yucheng Rodriguez, Rosa M.
Author_xml	– sequence: 1 givenname: Cong-Cong surname: Li fullname: Li, Cong-Cong email: congcongli@correo.ugr.es organization: Business School, Sichuan University, Chengdu, China – sequence: 2 givenname: Rosa M. surname: Rodriguez fullname: Rodriguez, Rosa M. email: rosam.rodriguez@decsai.ugr.es organization: Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain – sequence: 3 givenname: Luis orcidid: 0000-0003-4245-8813 surname: Martinez fullname: Martinez, Luis email: martin@ujaen.es organization: Department of Computer Science, University of Jaén, Jaén, Spain – sequence: 4 givenname: Yucheng orcidid: 0000-0002-1303-3448 surname: Dong fullname: Dong, Yucheng email: ycdong@scu.edu.cn organization: Business School, Sichuan University, Chengdu, China – sequence: 5 givenname: Francisco orcidid: 0000-0002-7283-312X surname: Herrera fullname: Herrera, Francisco email: herrera@decsai.ugr.es organization: Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain
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SubjectTerms	Consensus Consistency Decision making Design optimization Fuzzy set theory group decision making (GDM) Numerical analysis Optimization preference relations
Title	Consensus Building With Individual Consistency Control in Group Decision Making
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