Kybernetika 46 no. 1, 83-95, 2010

Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators

Hamzeh Agahi, Radko Mesiar and Yao Ouyang

Abstract:

In this paper further development of Chebyshev type inequalities for Sugeno integrals based on an aggregation function $H$ and a scale transformation $\varphi $ is given. Consequences for T-(S-)evaluators are established.

Keywords:

fuzzy measure, Sugeno integral, t-norm, t-conorm, comonotone functions, Chebyshev's inequality, T-(S-)evaluators

Classification:

03E72, 06A99