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(T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 9، شماره 3، شهریور 2012، صفحه 111-126 اصل مقاله (427.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.150 | ||
| نویسندگان | ||
| Wanli Liu* 1؛ Xiaoqiu Song2؛ Qiuzhao Zhang1؛ Shubi Zhang1 | ||
| 1Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China | ||
| 2Department of Mathematics, China University of Mining and Tech- nology, Xuzhou, Jiangsu 221116, P. R. China | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| $mathfrak{T}$-norm؛ $mathfrak{T}$-conorm؛ Multi-dimensional function؛ Multi-valued measure؛ $(T)$ fuzzy integral | ||
| مراجع | ||
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