Group decision making methods of the incomplete IFPRs and IPRs

Abstract

We propose optimal priority methods on the incomplete intuitionistic fuzzy preference relation (IFPR) and the incomplete interval preference relation (IPR). The least squares method has been used previously to derive the priority vector of the fuzzy preference relation (FPR). In this paper, we generalize the least squares method to IFPR and IPR based on our proposed multiplicative consistent conditions. We also investigate the relationships between the optimal models of incomplete IFPRs, IPRs and FPRs. We also apply the same method to the case of collective judgment with complete information. We illustrate the feasibility and effectiveness of our proposed methods with three numerical examples.

Keywords:

• Group decision-making
• Preference relation
• Least squares model
• Priority