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Conference Paper (international conference)

A general approach to integration on finite sets

Klement E.P., Mesiar Radko, Pap E.

: Proceedings of the Tenth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, p. 61-66

: IPMU 2004 /10./, (Perugia, IT, 04.07.2004-09.07.2004)

: CEZ:AV0Z1075907

: GA402/04/1026, GA ČR

: measure, integral, t-conorm

(eng): Integrals on finite sets are discussed from several points of view. Two basic constructions of integrals as isotone extensions of measures are recalled. Alternative constructions yielding integrals are discussed. Finally, representation theorems of integrals are presented.

(cze): Rozoberáme integrály na konečných množinách z rôznych aspektov. Pripomíname dve základné konštrukčné metódy pre integrály, ktoré sú monotónnymi rozšíreniami mier. Diskutujeme o alternatívnych konštrukciách vedúcich k integrálom. Záverom predstavujeme reprezentačné vety pre integrály

: 12A

: BA