湖北汽车工业学院学报
湖北汽車工業學院學報
호북기차공업학원학보
JOURNAL OF HUBEI AUTOMOTIVE INDUSTRIES INSTITUTE
2014年
4期
53-57
,共5页
广义T测度%多维(T )模糊积分%依模糊测度收敛%收敛定理
廣義T測度%多維(T )模糊積分%依模糊測度收斂%收斂定理
엄의T측도%다유(T )모호적분%의모호측도수렴%수렴정리
generalized (T ) measure%multi-dimensional (T ) fuzzy integral%convergence in fuzzy measure%convergence theorem
给出了广义T模糊测度和多维函数(T )模糊积分的定义，采用类比方法证明了多维可测函数在一维测度下对应的EropoB定理和Riesz定理，得到了多维(T )可积函数在广义三角范数下的2个收敛定理。
給齣瞭廣義T模糊測度和多維函數(T )模糊積分的定義，採用類比方法證明瞭多維可測函數在一維測度下對應的EropoB定理和Riesz定理，得到瞭多維(T )可積函數在廣義三角範數下的2箇收斂定理。
급출료엄의T모호측도화다유함수(T )모호적분적정의，채용류비방법증명료다유가측함수재일유측도하대응적EropoB정리화Riesz정리，득도료다유(T )가적함수재엄의삼각범수하적2개수렴정리。
The concept of generalized (T ) fuzzy measure and generalized (T ) fuzzy integral of multi-dimensional function were introduced. EropoB theorem and Riesz theorem based on one dimensional fuzzy measure were given by comparison and inference. The two convergence theorems of multi-dimen?sional function (T ) fuzzy integral were obtained.
