λλ-generalized Sugeno integral and its application

Sugeno integral is a useful tool for many problems in several domains, especially in game theory, measure theory, decision making, probability, image processing and finance. In this paper, we introduce the concept of λλ-generalized Sugeno integral. Then we establish general versions of Chebyshev type inequality for this kind of Sugeno integral by using a monotone measure. Our results generalize and improve the corresponding ones in the literature. Finally, some conclusions and problems for further investigations are given.