Počet záznamů: 1  

Possibility and necessity measures and integral equivalence

  1. 1.
    0477092 - UTIA-B 2018 RIV US eng J - Článek v odborném periodiku
    Chen, T. - Mesiar, Radko - Li, J. - Stupňanová, A.
    Possibility and necessity measures and integral equivalence.
    International Journal of Approximate Reasoning. Roč. 86, č. 1 (2017), s. 62-72. ISSN 0888-613X
    Institucionální podpora: RVO:67985556
    Klíčová slova: Integral equivalence * Necessity measure * Possibility measure * Survival function * Universal integral
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Statistics and probability
    Impakt faktor: 1.766, rok: 2017

    Integral equivalence of couples (mu, x) and (mu, y), where mu is a possibility (necessity) measure on [n] ={1,..., n} and x, y is an element of [0,1](n) is discussed and studied. We characterize the sets H(mu, x) of all y such that the couples (mu, x) and (mu, y) are integral equivalent and we add an illustrative example. Subsequently, a new characterization of possibility (necessity) measures is obtained and the coincidence of universal integrals for possibility (necessity) measures and particular vectors from [0,1](n) is shown, thus generalizing these results introduced by Dubois and Rico for the Choquet and the Sugeno integrals.
    Trvalý link: http://hdl.handle.net/11104/0274030