Some properties for seminormed fuzzy integral and semiconormed fuzzy integral

The integral inequalities play important roles in classic measure theory. With the development of fuzzy measure theory, experts want to seek for the integral inequalities of fuzzy integral. Some properties for seminormed fuzzy integral is discussed. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained.

Keywords:

Seminormed fuzzy integral , Semiconormed integral , The Chebyshev inequality , Comonotone.