Multi-expert decision making using logical aggregation

Abstract

This paper proposes logical aggregation based on interpolative Boolean algebra as an aggregation tool for problems of multi-expert decision making. Expert opinions are unlikely to be identical, and they are usually either close or conflicting to various degrees, or sometimes include different forms of interaction. In addition, there are many different types of decisions which fit the broad circumstances of multi-expert decision making and decision maker's point of view. Logical aggregation enables multi-expert aggregation based on linguistic requirements described by logical expressions. Logical expressions are uniquely transformed into corresponding generalized Boolean polynomials. Calculation of generalized Boolean polynomial values provides a decision maker with final alternative assessments by multiple experts.