کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389208 661112 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak convergence of nonadditive measures based on nonlinear integral functionals
ترجمه فارسی عنوان
همگرایی ضعیف از اقدامات غیر قابل اعتماد بر اساس عملکرد های یکپارچه غیر خطی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی

In this paper, we formulate a general portmanteau theorem for a perturbative nonlinear integral functional and discuss the uniformity of weak convergence of nonadditive measures based on such a functional. As their direct consequences, it turns out that Lévy convergence of nonadditive measures coincides with every one of three types of weak convergence, that is, weak Choquet, weak Sugeno, and weak Shilkret convergence and they are uniform on every bounded subset of Lipschitz functions. Those results are applied when discussing the metrizability of the Lévy topology on the space of nonadditive measures and defining the Fortet–Mourier type metrics on a uniformly equi-autocontinuous set of nonadditive measures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 289, 15 April 2016, Pages 1–15
نویسندگان
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