Aggregation functions and capacities

Inspired by earlier results of Bayes and Benvenuti et al. [3], we introduce and study some construction methods and transformations for capacities. First we introduce constructions of capacities based on n-ary aggregation functions and implications from fuzzy set theory, parameterized by vectors x∈[0,1]n. Later, implication based transforms of capacities, parameterized by subsets B⊆{1,2,...,n}, are given, exemplified and discussed.