Möbius transform and k-order additivity

0410827 20240103182242.020060210235959.9 2-9516453-2-5 Möbius transform and k-order additivity 1 Annecy ESIA 2002 4 s. Proceedings of the 9th Information Processing and Management of Uncertainty in Knowledge-based Systems535-538 Choquet integral fuzzy measure k-order additivity cav_un_auth*0101163 Mesiar Radko UTIA-B Department of Econometrics Ústav teorie informace a automatizace AV ČR, v. v. i. 12A KSK1019101 GA AV ČR cav_un_auth*0000219 1/8331/01 VEGA SK 1/7146/20 VEGA SK CEZ:AV0Z1075907 Based on Möbius transform, a general concept of k-order additivity of set functions is introduced, extending the original Grabisch k-order additivity on finite spaces. Similarly, for any pseudo-addition, k-order additivity is defined. Finally, integration with respect to k-order additive measures in discussed. cav_un_auth*0212914 IPMU '2002 /9./ Annecy FR 01.07.2002-05.07.2002 BA E http://hdl.handle.net/11104/0130914 UTIA-B 20020041 2002 2002 Annecy ESIA 2-9516453-2-5 Proceedings of the 9th Information Processing and Management of Uncertainty in Knowledge-based Systems 535 538