Novel survival functions based on conditional aggregation operators

Autor:	Marek Kaluszka, Lenka Halčinová, Michał Boczek, Ondrej Hutník
Rok vydání:	2021
Předmět:	Information Systems and Management Choquet integral Measurable function Survival function Artificial Intelligence Control and Systems Engineering Bounded function Measure (physics) Applied mathematics Software Computer Science Applications Theoretical Computer Science Mathematics
Zdroj:	Information Sciences. 580:705-719
ISSN:	0020-0255
Popis:	In this paper we define a novel survival function motivated by real life problems, which generalizes the super level measure introduced by Do and Thiele (2015). This concept is based on conditional aggregation operators extending the definition of aggregation operators introduced by Calvo et al. (2002) for all bounded measurable functions and not only for finite sequences. Some basic properties and several examples of conditional aggregation operators are presented. Using the novel survival function, the Choquet-Stieltjes functional is introduced and the conditions are indicated under which this functional can be called an integral. The new functional generalizes several known integrals including the Choquet-Stieltjes integral as well as Choquet integral with respect to level dependent capacity introduced by Greco et al. (2011).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c6f0ce260ce5364cbc0f18ec3d0bf0ba https://doi.org/10.1016/j.ins.2020.12.049 Zobrazit plný text záznamu Full Text from ScienceDirect