Title
A direct consensus framework based on extended MCCM for multiperson decision making problem with different preference representation structures.
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.
Year
DOI
Venue
2017
10.3233/JIFS-16734
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Multiperson decision making,preference representation structures,linguistic preference relations,consensus,minimum cost consensus model
Artificial intelligence,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
33
2
1064-1246
Citations 
PageRank 
References 
0
0.34
27
Authors
3
Name
Order
Citations
PageRank
Wei-Jun Xu115414.56
Jia Li252442.09
Shaoying Huang330.72