Solving consensus measure of ambiguous GDM problems using vague sets – an application of risk assessment

Authors:
Chi-Chun Lo;Ping Wang;Kuo-Ming Chao
Affiliations:
Institute of Information Management, National Chiao Tung University, Taiwan;Institute of Information Management, National Chiao Tung University, Taiwan;DSM Research Group, School of MIS, Coventry University, UK
Venue:
CSCWD'05 Proceedings of the 9th international conference on Computer Supported Cooperative Work in Design II
Year:
2005

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Abstract

Consensus measure is an important process for group decision-making. The traditional consensus-evaluation method determines the solution by fuzzy set and cannot treat the negative evidence for membership function. In this paper, we present a method for consensus measure in the risk assessment process by relaxing assumptions about the existing of hesitation situation. First, a new similarity measure of vague sets is introduced. Then, a fuzzy synthetic evaluation method is employed to attain the consensus interval of the group via the agreement matrix. Finally, a real example of risk assessment guided by BS7799 is given to demonstrate our method. The proposed method applies the soft consensus method proposed by Kacprzyk and Fedrizzi, analyzes the variation trend of group consensus using similarity measures of vague sets and consensus index. From numerical illustrations, the usefulness of the proposed method has shown, particularly in a situation with vague and ill-defined data.