Modeling Uncertainty in the Wings Method Using Interval Arithmetic

Abstract

This paper introduces a novel approach to support decision-making by combining the Weighted Influence Nonlinear Gauge System (WINGS) method with interval arithmetic. This approach allows to include uncertain judgments and/or different opinions in a decision process. Our research aims at increasing the ability of WINGS to model decisions in situations of uncertainty and at extending the reach of its practical applications. The new, relatively simple and transparent method can become a useful and practical tool for the decision makers. Mathematical correctness of the proposed methodology is proven. Based on the new method, a procedure for solving a complex decision problem is created. Its applicability is illustrated by two case studies. Choosing the best option for the organization’s competitive position in a health-care organization shows how the proposed method works with uncertain judgments. Its usefulness for group decision-making is illustrated by applying it to a decision concerning allocation of public funds for sport development in a small commune.