A Comparison of Distinct Consensus Measures for Group Decision Making with Intuitionistic Fuzzy Preference Relations

Abstract

Intuitionistic fuzzy preference relation (IFPR), which express experts’ preferences from the preferred, the non-preferred and the indeterminate aspects, has turned out to be an efficient tool in describing the rough and subjective opinions of experts. This paper focuses on the consensus measures for group decision making (GDM) in which all the experts use the IFPRs to express their preferences. Firstly, we give a brief analysis over the framework, the consistency checking process, and the selection process of intuitionistic fuzzy GDM. After that, two novel consensus measures, namely, the outranking flow based consensus measure and the ordinal consensus measure, are proposed to help an analyst to describe the degree of agreement among the experts in a group. In addition, an in-depth comparison is made from both theoretical and empirical points of view over our proposed consensus measures against the existing ones. Furthermore, a numerical example is given to show the difference among these distinct consensus measures. Finally, based on the ordinal consensus measure, a procedure is given to help the decision maker yield a final solution for GDM problems.

Keywords

• Group decision making
• intuitionistic fuzzy preference relation
• consensus measure
• intuitionistic fuzzy set
• consensus reaching process