In this paper, the classical Jensen inequalities for concave function φ, i.e., #R##N##R##N#φ(∫f(x)dμ)⩾∫φ(f)dμandφ(∑i=1nλixi)⩾∑i=1nλiφ(xi),#R##N##R##N#are adapted for the Sugeno integral using the notion of the supergradient. Moreover, we give some modifications of previous results of Roman-Flores et al. concerning Jensen-type inequalities for Sugeno integral. Some examples in the framework of the Lebesgue measure and counting measure to illustrate the results are presented.
['Sadegh Abbaszadeh', 'Madjid Eshaghi Gordji', 'Endre Pap', 'Aniko Szakal']
Jensen-type inequalities for Sugeno integral