Affiliations: School of Business Administration, South China University of Technology, Guangzhou, China
Correspondence:
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Corresponding author. Jia Li, School of Business Administration, South China University of Technology, Guangzhou 510640, China. Tel.: +86 020 87113229; Fax: +86 020 87114249; E-mail: jiajiali2010@163.com.
Abstract: This paper studies on multiperson decision making (MPDM) problem with five kinds of preference representation structures, namely preference orderings, utility functions, fuzzy preference relations, multiplicative preference relations and linguistic preference relations. We propose a direct consensus framework based on a novel minimum cost consensus model (MCCM) which we extend to solve the consensus problem with multiple alternatives. This framework has two processes: selection process and consensus process. In the selection process, we first use five transformation functions to make the preference representation structures uniform, then standardize the transformed preference information and obtained the collective preference vector. In the consensus process, we define a consensus measure and design a feedback adjustment based on the extended MCCM to achieve the preset consensus level. This framework first embeds MCCM into a direct consensus framework to solve the MPDM problem with five kinds of preference representation structures including linguistic preference relations. Finally, we provide an example to illustrate the effectiveness of the method, and find out the convergence is fast in the consensus process.
Keywords: Multiperson decision making, preference representation structures, linguistic preference relations, consensus, minimum cost consensus model
