The Choquet integral for the aggregation of interval scales in multicriteria decision making

TL;DR

This paper demonstrates that the Choquet integral uniquely models preferences and interactions among criteria in multicriteria decision making, based on decision maker preferences and intuitive conditions.

Contribution

It establishes the Choquet integral as the unique aggregation operator fitting preference and interaction information in multicriteria decision making.

Findings

Choquet integral uniquely models preferences with interacting criteria.

Preference and interaction information lead to the Choquet integral as the aggregation model.

The paper provides a theoretical foundation for using the Choquet integral in decision making.

Abstract

This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria). We show that the conditions induced by these information plus some intuitive conditions lead to a unique possible aggregation operator: the Choquet integral.