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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۳، صفحات ۱۱۱-۱۲۶
عنوان فارسی (T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE
چکیده فارسی مقاله 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.
کلیدواژه‌های فارسی مقاله $mathfrak{T}$-norm، $mathfrak{T}$-conorm، Multi-dimensional function، Multi-valued measure، $(T)$ fuzzy integral،
عنوان انگلیسی (T) FUZZY INTEGRAL OF MULTI-DIMENSIONAL FUNCTION WITH RESPECT TO MULTI-VALUED MEASURE
چکیده انگلیسی مقاله 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.
کلیدواژه‌های انگلیسی مقاله $mathfrak{T}$-norm, $mathfrak{T}$-conorm, Multi-dimensional function, Multi-valued measure, $(T)$ fuzzy integral
نویسندگان مقاله Wanli Liu |
Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China

Xiaoqiu Song |
Department of Mathematics, China University of Mining and Tech- nology, Xuzhou, Jiangsu 221116, P. R. China

Qiuzhao Zhang |
Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China

Shubi Zhang |
Department of Spatial Informatics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China

نشانی اینترنتی http://ijfs.usb.ac.ir/article_150_0e59f87cbb7402a1c982c3c0f416b1cd.pdf
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