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Journal Article

Possibility and necessity measures and integral equivalence

Chen T., Mesiar Radko, Li J., Stupňanová A.

: International Journal of Approximate Reasoning vol.86, 1 (2017), p. 62-72

: Integral equivalence, Necessity measure, Possibility measure, Survival function, Universal integral

: 10.1016/j.ijar.2017.04.008

: http://library.utia.cas.cz/separaty/2017/E/mesiar-0477092.pdf

(eng): 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.

: BA

: 10103

07.01.2019 - 08:39