Discrete pseudo-integrals

0391390 - ÚTIA 2014 RIV NL eng J - Článek v odborném periodiku
Mesiar, Radko - Li, J. - Pap, E.
Discrete pseudo-integrals.
International Journal of Approximate Reasoning. Roč. 54, č. 3 (2013), s. 357-364. ISSN 0888-613X. E-ISSN 1873-4731
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: concave integral * pseudo-addition * pseudo-multiplication
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.977, rok: 2013
http://library.utia.cas.cz/separaty/2013/E/mesiar-discrete pseudo-integrals.pdf

Integration of simple functions is a corner stone of general integration theory and it covers integration over finite spaces discussed in this paper. Different kinds of decomposition and subdecomposition of simple functions into basic functions sums, as well as different kinds of pseudo-operations exploited for integration and summation result into several types of integrals, including among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret, PAN, Benvenuti and concave integrals. Some basic properties of introduced discrete pseudoconcave integrals are discussed, and several examples of new integrals are given.
Trvalý link: http://hdl.handle.net/11104/0220518