کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6856097 661144 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The bounded convergence in measure theorem for nonlinear integral functionals
ترجمه فارسی عنوان
همگرایی محدود در قضیه اندازه گیری برای کارکرد انتگرالی غیر خطی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی
In this paper, we introduce a new notion of the perturbation of nonlinear functionals to formulate a functional form of the convergence theorems for nonlinear integrals in nonadditive measure theory. As its direct consequences, we obtain the bounded convergence in measure theorems for typical nonlinear integrals, which show that the autocontinuity of a nonadditive measure is equivalent to the validity of the bounded convergence in measure theorems for the Choquet, the Sugeno, and the Shilkret integrals as well as their symmetric and asymmetric extensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 271, 15 July 2015, Pages 31-42
نویسندگان
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