A new characterization of the discrete Sugeno integral

Abstract

We introduce a new property of the discrete Sugeno integrals which can be seen as their characterization, too. This property, compatibility with respect to congruences on $[0,1]$, stresses the importance of the Sugeno integrals in multicriteria decision support as well.

11 pages

Cited by in corpus (5)

• Congruences and the discrete Sugeno integrals on bounded distributive lattices
• On generating of idempotent aggregation functions on finite lattices
• Generators of aggregation functions and fuzzy connectives
• Description of sup- and inf-preserving aggregation functions via families of clusters in data tables
• Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices