The transport problem for non-additive measures

Vicenç Torra

European Journal of Operational Research, 2023, vol. 311, issue 2, 679-689

Abstract: Non-additive measures, also known as fuzzy measures, capacities, and monotonic games, are increasingly used in different fields. Applications have been built within computer science and artificial intelligence related to e.g., decision making, image processing, machine learning for both classification, and regression. Tools for measure identification have been built. In short, as non-additive measures are more general than additive ones (i.e., than probabilities), they have better modeling capabilities allowing to model situations and problems that cannot be modeled by the latter. See e.g., the application of non-additive measures and the Choquet integral to model both Ellsberg paradox and Allais paradox. Because of that, there is an increasing need to analyze non-additive measures.

Keywords: Fuzzy sets; Non-additive measures; Fuzzy measures; Optimal transport (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:311:y:2023:i:2:p:679-689

DOI: 10.1016/j.ejor.2023.03.016

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