Distance-based consensus models for fuzzy and multiplicative preference relations

A distance-based consensus model for fuzzy preference relations where the weights of fuzzy preference Relations are automatically determined and the model and algorithm are extended to handle multiplicative preference relations.

Abstract

This paper proposes a distance-based consensus model for fuzzy preference relations where the weights of fuzzy preference relations are automatically determined. Two indices, an individual to group consensus index (ICI) and a group consensus index (GCI), are introduced. An iterative consensus reaching algorithm is presented and the process terminates until both the ICI and GCI are controlled within predefined thresholds. The model and algorithm are then extended to handle multiplicative preference relations. Finally, two examples are illustrated and comparative analyses demonstrate the effectiveness of the proposed methods.