(T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE

Introducing more types of integrals will provide more choices to deal with various types of objectives and components in real problems. Firstly, in this paper, a (T) fuzzy integral, in which the integrand, the measure and the integration result are all multi-valued, is presented with the introduction of T-norm and T-conorm. Then, some classical results of the integral are obtained based on the properties of T-norm and T-conorm mainly. The pre- sented integral can act as an aggregation tool which is especially useful in many information fusing and data mining problems such as classication and programming.