Multiple attribute decision making based on fuzzy relationships between objectives and its application in metal forming

A novel theory for multiple-attribute decision-making based on fuzzy relationships between objectives is presented. In contrast to other approaches the interactive structure of objectives for each decision problem is inferred and represented explicitly. This interactive structure reflects existing fuzzy relationships between objectives and provides for a better understanding of the decision problem. The relationships between objectives are evaluated for the determination of the so-called focus of attention, which is a fuzzy set of alternatives that are consistent with the multiple objectives and their relationships and priorities. The practical relevance of the theory is shown on a complex multiple-attribute decision problem in the field of beam bending, a part of modern metal forming