This paper is an overview of the discrete Sugeno integrals and their applications when the evaluation scale is a totally ordered set. The various expressions of the Sugeno integrals are presented. Some major characterisation results are recalled: results based on characteristic properties and act-based axiomatisation. We discuss the properties of a preference relation modelling by a Sugeno integral. We also present its power expression to represent a dataset and its interpretation with a set of if-then rules.
CITATION STYLE
Rico, A. (2018). Discrete Sugeno integrals and their applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11142 LNAI, pp. 18–32). Springer Verlag. https://doi.org/10.1007/978-3-030-00461-3_2
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