0545170 20230424112058.320210903235959.9 000614832800003 85100247848 10.1080/03081079.2020.1870459 27 s. P cav_un_epca*02567940308-1079501 (2021)36-62Taylor & Francis fuzzy event capacity Choquet integral comonotone additivity comonotone maxitivity Expected value linearity Sugeno integral cav_un_auth*0208902 Klement E.P. AT 30 K cav_un_auth*0413278 Kouchakinejad F. IR 20 cav_un_auth*0413279 Guha D. IN 20 cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 30 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/E/mesiar-0545170.pdf https://www.tandfonline.com/doi/full/10.1080/03081079.2020.1870459 Starting with [Goguen, J.A. 1967. Journal of Mathematical Analysis and Applications], several generalizations of the original definition of a fuzzy set have been proposed. In one popular case, one considers as truth values the points in the lower left triangle of the unit square, where their first coordinate is interpreted as “degree of membership”, and their second coordinate as “degree of non-membership”. Generalizing ideas in [Zadeh, L.A. 1968. Journal of Mathematical Analysis and Applications], [Grzegorzewski, P. and E. Mrówka. 2002. In: Soft Methods in Probability, Statistics and Data Analysis, Heidelberg: Physica], [Grzegorzewski, P. 2013. Information Sciences] and [Klement, E.P. and R. Mesiar. 2015. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems], the concept of expected values (based on capacities) of fuzzy events in this general sense is introduced and investigated. Expected values satisfying additional properties such as positive-linearity, comonotone additivity and comonotone maxitivity are studied, as well as an extension to real-valued expected values. WOS BA 10000 10100 10101 2022 4 RVO:67985556 http://hdl.handle.net/11104/0321919 S 3+4 Article Computer Science Theory Methods|Ergonomics A COMPUTERSCIENCE.THEORY&METHODS 2.088 0.571 13.7 0.00085 0.417 1802 56 0.720 40.28 2.42 321 Q2 1.824 42 Q2 59.5 Q3 Q3 0.64 Q2 59.545 2021 85100247848 SCOPUS PUBMED 000614832800003 WOS cav_un_epca*0256794 International Journal of General Systems 0308-1079 1563-5104 Roč. 50 č. 1 2021 36 62 Taylor & Francis