Abstract
A comonotonically additive and monotone functional (for short c.m.) on the class of continuous functions with compact support is represented by one Choquet integral if the universal set X is compact, while it is not represented by one Choquet integral but represented by the difference of two Choquet integral, if the universal set X is not compact but locally compact. This fact is expressed by the framework of decision making.
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Narukawa, Y., Murofushi, T., Sugeno, M. (2002). Integral Representations and Decision Theory. In: Bouchon-Meunier, B., Gutiérrez-RÃos, J., Magdalena, L., Yager, R.R. (eds) Technologies for Constructing Intelligent Systems 1. Studies in Fuzziness and Soft Computing, vol 89. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1797-3_12
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DOI: https://doi.org/10.1007/978-3-7908-1797-3_12
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