The logical encoding of Sugeno integrals


Sugeno integrals are a well-known family of qualitative multiple criteria aggregation operators. The paper investigates how the behavior of these operators can be described in a prioritized propositional logic language, namely possibilistic logic. The case of binary-valued criteria, which amounts to providing a logical description of the fuzzy measure underlying the integral, is first considered. The general case of a Sugeno integral when critersia are valued on a discrete scale is then studied.

DOI: 10.1016/j.fss.2013.12.014

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@article{Dubois2014TheLE, title={The logical encoding of Sugeno integrals}, author={Didier Dubois and Henri Prade and Agn{\`e}s Rico}, journal={Fuzzy Sets and Systems}, year={2014}, volume={241}, pages={61-75} }