TY - JOUR
ID - 38119
TI - A Version of Favard's Inequality for the Sugeno Integral
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Daraby, Bayaz
AU - Ghazanfary Asll, Hassan
AU - Sadeqi, IldarI
AD - Department of Mathematics, University of Maragheh, Maragheh, Iran.
AD - Ph.D. student of Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
AD - Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 1
SP - 23
EP - 37
KW - Favard's inequality
KW - Sugeno integral
KW - Fuzzy measure
KW - Fuzzy integral inequality
DO - 10.22130/scma.2020.119368.728
N2 - In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.
UR - https://scma.maragheh.ac.ir/article_38119.html
L1 - https://scma.maragheh.ac.ir/article_38119_5654c1b9174f9fe4f8c78f32a15f6c48.pdf
ER -