(T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE
نویسندگان
1 Department of Mathematics, China University of Mining and Tech- nology, Xuzhou, Jiangsu 221116, P. R. China
2 Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
3 Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
4 Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
doi
10.22111/ijfs.2012.150چکیده
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.
