Some properties of the interval-valued generalized fuzzy integral with respect to a fuzzy measure by means of an interval-representable generalized triangular norm

摘要

We consider the generalized fuzzy integral introduced by Fang[4] and use the concept of interval-valued functions which is used for representing uncertain functions. In this paper, we define the interval-valued generalized fuzzy integral with respect to a fuzzy measure by means of an interval-representable generalized triangular norm of measurable interval-valued functions and investigate some characterizations and convergence properties of them.