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Aggregation functions and capacities
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DOI：10.1016/j.fss.2017.08.007.png)
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Abstract
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Inspired by earlier results of Bayes and Benvenuti et al. In 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 is an element of [0, 1](n). Later, implication based transforms of capacities, parameterized by subsets B subset of {1, 2, ..., n}, are given, exemplified and discussed. (C) 2017 Elsevier B.V. All rights reserved.
Keywords:
Aggregation function
Capacity
Conditional probability
Implications
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