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

Introducing more types of integrals will provide more choices todeal with various types of objectives and components in real problems. Firstly,in this paper, a (T) fuzzy integral, in which the integrand, the measure andthe integration result are all multi-valued, is presented with the introductionof T-norm and T-conorm. Then, some classical results of the integral areobtained 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 inmany information fusing and data mining problems such as classication andprogramming.

کلیدواژه ها:

mathfrak{T}-norm ، mathfrak{T}-conorm ، Multi-dimensional function ، Multi-valued measure ، (T) fuzzy integral