0506951 20240103222330.620190726235959.9 84939997651 000354500300014 10.1007/s00500-014-1578-0 8 s. P cav_un_epca*02583681432-7643196 (2015)1627-1634Springer Cauchy-Schwarz’s inequality Choquet expectation Hölder’s inequality Monotone probability Pseudo-analysis Choquet-like integrals Sugeno integral cav_un_auth*0261431 Agahi H. IR K cav_un_auth*0101163 Ekonometrie Department of Econometrics E E Department of Econometrics 50 Mesiar Radko UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/E/mesiar-0506951.pdf Cauchy-Schwarz’s inequality is one of the most important inequalities in probability, measure theory and analysis. The problem of finding a sharp inequality of Cauchy–Schwarz type for Sugeno integral without the comonotonicity condition based on the multiplication operator has led to a challenging and an interesting subject for researchers. In this paper, we give a Cauchy–Schwarz’s inequality without the comonotonicity condition based on pseudo-analysis for two classes of Choquet-like integrals as generalizations of Choquet integral and Sugeno integral. In the first class, pseudo-operations are defined by a continuous strictly increasing function $$g$$g. Another class concerns the Choquet-like integrals based on the operator “$$\sup $$sup” and a pseudo-multiplication $$\otimes $$⊗. When working on the second class of Choquet-like integrals, our results give a new version of Cauchy–Schwarz’s inequality for Sugeno integral without the comonotonicity condition based on the multiplication operator. WOS BA 10000 10100 10102 2020 2 RVO:67985556 http://hdl.handle.net/11104/0298081 S COMPUTERSCIENCE.INTERDISCIPLINARYAPPLICATIONS|COMPUTERSCIENCE.ARTIFICIALINTELLIGENCE 1.732 0.352 5 0.00642 0.52 2517 0.759 Q2 1.375 261 Q2 31.956 56.3 Q3 Q2 57.308 2015 84939997651 SCOPUS PUBMED 000354500300014 WOS cav_un_epca*0258368 Soft Computing 1432-7643 1433-7479 Roč. 19 č. 6 2015 1627 1634 Springer