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On the coincidence of the pan-integral and the Choquet integral

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    0576153 - ÚTIA 2024 RIV NL eng J - Journal Article
    Li, J. - Mesiar, Radko - Ouyang, Y. - Wu, L.
    On the coincidence of the pan-integral and the Choquet integral.
    Fuzzy Sets and Systems. Roč. 467, č. 1 (2023), č. článku 08577. ISSN 0165-0114. E-ISSN 1872-6801
    Institutional support: RVO:67985556
    Keywords : monotone measure * (M)-property * weak (M)-property * Choquet integral * Pan integral
    OECD category: Pure mathematics
    Impact factor: 3.2, year: 2023
    Method of publishing: Limited access
    http://library.utia.cas.cz/separaty/2023/E/mesiar-0576153.pdf https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub

    We introduce the concept of weak (M)-property of a monotone measure and prove that this condition is not only sufficient, but also necessary for the coincidence of the pan-integral and the Choquet integral on monotone measure spaces. The previous results we obtained are substantially improved. An open problem concerning the weak (M)-property is raised.
    Permanent Link: https://hdl.handle.net/11104/0346455

     
     
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