On the generalized k-order additivity for absolutely monotone set functions

On the generalized k-order additivity for absolutely monotone set functions

The concepts of the generalized Möbius transform and the generalized k -additivity for absolutely monotone and sign stable set functions are introduced and investigated. The evaluation formula for the discrete general Choquet-like integrals with respect to generalized k -order additive set functions...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2019-08, Vol.23 (15), p.6043-6050
Hauptverfasser: Mihailović, Biljana, Kalina, Martin, Štrboja, Mirjana
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Computational Intelligence
Control
Engineering
Foundations
Geometric transformation
Integrals
Mathematical Logic and Foundations
Mechatronics
Robotics
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Zusammenfassung:The concepts of the generalized Möbius transform and the generalized k -additivity for absolutely monotone and sign stable set functions are introduced and investigated. The evaluation formula for the discrete general Choquet-like integrals with respect to generalized k -order additive set functions is obtained.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-018-3605-z