A new kind of generalized fuzzy integrals

Fuzzy integral is an important tool to study fuzzy differential equations. Under normal circumstances, there are two basic limitations: limited of integral interval and boundedness of integrand. However, in practical problems, it is dificult to calculate when integral interval is not common interval. Then fuzzy integral on infinite interval is taken into consideration. In this paper, definition of a kind of generalized Liu integral is given. Moreover, properties and theorems of this kind of generalized fuzzy integral are obtained.