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Published in:
2018 | OriginalPaper | Chapter
Capacities, Survival Functions and Universal Integrals
Authors : Radko Mesiar, Andrea Stupňanová
Published in: Aggregation Functions in Theory and in Practice
Publisher: Springer International Publishing
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Abstract
Based on the equality of survival functions related to n-ary vectors and capacities on \(X=\{1, \dots ,n \}\), the equality of universal integrals \({{\mathbf {I}}} (\mu ,{{\mathbf {x}}} )={{\mathbf {I}}} (\mu ,{{\mathbf {y}}} )\) is discussed and studied. Some particular cases are highlighted, and a special stress is put on possibility and necessity measures. As a by-product, a new characterization of possibility (necessity) measures is introduced.