TY - JOUR ID - 22517 TI - Results of the Chebyshev type inequality for Pseudo-integral JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Daraby, Bayaz AD - Department of Mathematics, University of Maragheh, Maragheh, Iran. Y1 - 2016 PY - 2016 VL - 04 IS - 1 SP - 91 EP - 100 KW - Additive measure KW - Chebyshev type inequality KW - Pseudo-addition KW - Pseudo-multiplication KW - Pseudo-integral KW - Comonotone function KW - $s$-decomposable fuzzy measure KW - Fuzzy integral inequality DO - N2 - In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our resultsĀ  to the case of comonotone functions. UR - https://scma.maragheh.ac.ir/article_22517.html L1 - https://scma.maragheh.ac.ir/article_22517_0bef1cf731c3d726fdeb91ce4bbaa098.pdf ER -