Nonadditivity index oriented decision preference information representation and capacity identification

The nonadditivity index is a competent indicator of depicting the kind and intensity of interaction among decision criteria. In this paper, we focus on using the nonadditivity index to represent the decision maker’s preference information as well as the process of transforming them into standard capacity. We first discuss the comparison and range representation forms of decision preference information in terms of nonadditivity index and update the inconsistency recognition models and adjustment strategies. Then we establish a nonadditivity index oriented multiple goal linear programming algorithm to find out the minimum deviation capacities with relatively less concerns and efforts on inconsistency adjustment. The illustrative example demonstrates the feasibility and flexibility of the proposed scheme and methods.