A Consensus Model in Group Decision Making Based on Interpolative Boolean Algebra

Abstract

The aim of this paper is to propose a soft consensus model based on interpolative Boolean algebra for group decision making problems. Consensus degrees are calculated on three levels (on pairs of alternatives, alternatives, collective level) by means of pseudo-logical aggregation. The relation of equivalence is employed as a similarity measure among experts' opinions. In fact real-valued realization of equivalence is used as a generalized Boolean polynomial. In the illustrative example of sustainable development problem, we have shown that the proposed model is appropriate to determine the level of agreement among experts.