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.
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Acknowledgements
The first author and the third author have been supported by the Ministry of Education, Sciences and Technological development of the Republic of Serbia (the project 174009). The second author has been supported by the Science and Technology Assistance Agency under the contract No. APVV- 14-0013, and from the VEGA Grant agency, Grant No. 2/0069/16.
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Mihailović, B., Kalina, M. & Štrboja, M. On the generalized k-order additivity for absolutely monotone set functions. Soft Comput 23, 6043–6050 (2019). https://doi.org/10.1007/s00500-018-3605-z
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DOI: https://doi.org/10.1007/s00500-018-3605-z