Number of the records: 1
Possibility and necessity measures and integral equivalence
- 1.
SYSNO ASEP 0477092 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Possibility and necessity measures and integral equivalence Author(s) Chen, T. (CN)
Mesiar, Radko (UTIA-B) RID, ORCID
Li, J. (CN)
Stupňanová, A. (SK)Number of authors 4 Source Title International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 86, č. 1 (2017), s. 62-72Number of pages 11 s. Publication form Print - P Language eng - English Country US - United States Keywords Integral equivalence ; Necessity measure ; Possibility measure ; Survival function ; Universal integral Subject RIV BA - General Mathematics OECD category Statistics and probability Institutional support UTIA-B - RVO:67985556 UT WOS 000403514700006 EID SCOPUS 85018765123 DOI 10.1016/j.ijar.2017.04.008 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
Number of the records: 1