Institute of Information Theory and Automation

Publication details

Possibility and necessity measures and integral equivalence

Journal Article

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


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

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

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abstract (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.

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Last modification: 21.12.2012
Institute of Information Theory and Automation