Počet záznamů: 1  

Discrete pseudo-integrals

  1. 1. 0391390 - UTIA-B 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
    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