The majority preference relation based on cone preference relations of the decision makers

TL;DR

This paper introduces a novel approach to group decision-making by aggregating cone-based preference relations of multiple decision makers, reducing the Pareto set in multicriteria problems.

Contribution

It develops a model for majority preference relations based on cone relations and demonstrates aggregation methods for three decision makers and two criteria.

Findings

Majority preference relation can be constructed from individual cone relations.

Aggregation reduces the Pareto set, simplifying the multicriteria decision problem.

The model effectively incorporates additional preference information.

Abstract

A multicriteria group choice problem is considered in the paper. The model includes a set of feasible alternatives, a vector criterion, and n preference relations of the decision makers (DMs). Each preference relation is a cone relation with corresponding properties. It is considered the majority preference relation, as a cone relation constructed upon the cones of the DMs' preference relations. It is shown how to use and aggregate additional information about the DMs' preference relations in case of three DMs and two criteria. The Pareto set of multicriteria problem with "new" vector criterion forms a group choice, which reduces the Pareto set of initial multicriteria problem.