کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390767 661300 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the continuity of the concave integral
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the continuity of the concave integral
چکیده انگلیسی

Whenever a functional is concave it is natural to ask whether its sendograph is a closed convex set. If so, the Hahn–Banach theory implies that the functional can be represented as the infimum of all continuous linear functionals greater than or equal to it. We refer to such representation as a dual representation. Dominated convergence of the concave integral for capacities is characterized in terms of dual representation whenever sequences of functions converge pointwise outside a set of zero capacity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 9, 1 May 2009, Pages 1318-1326