Consensus-Based Multi-Person Decision Making Using Consistency Fuzzy Preference Graphs

Abstract

This paper presents consensus based multi-person decision making (MPDM) using consistency graphs (additive consistent and order consistent) in a fuzzy environment. At the first level, consistency analysis is put forward after defining consistent fuzzy preference graph (CFPG) with the help of additive transitivity. This analysis further leads us to determine priority weights vector of the decision-makers (DMRs) after evaluation consistency weights. At the second level, the consensus analysis helps us to determine whether the selection process should be initiated or not. If the consensus degree amongst DMRs does not reach a minimum acceptable level, then the enhancement mechanism plays a central role to improve the consensus level by giving suitable suggestions to DMRs. In the end, the weighted sum operator (WSO) is used to get aggregated consistency fuzzy preference graph (AgCFPG) and the order consistency property provides us sufficient information to rank the alternatives.

Keywords

• Fuzzy graph (FG)
• fuzzy preference graph (FPG)
• additive consistent fuzzy preference graph (ACFPG)
• order consistent fuzzy preference graph (OCFPG)
• fuzzy compatibility graph (FCG)