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

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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… Click to show full abstract

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.

Keywords: additivity absolutely; set functions; absolutely monotone; generalized order

Journal Title: Soft Computing
Year Published: 2019

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