کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844930 908632 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A characterization of relatively compact sets of fuzzy sets
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A characterization of relatively compact sets of fuzzy sets
چکیده انگلیسی

A purely topological characterization of relatively compact sets is given for the metric space (K(Y),D)(K(Y),D) of upper semicontinuous, compact-supported, normal fuzzy subsets of a metric space YY. The considered metric DD is that of the distance between fuzzy subsets, which is the supremum of the Hausdorff distances of the corresponding level sets. In the given proof the compactness of a variational convergence which was introduced by De Giorgi and Franzoni is fundamental.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 3, 1 February 2006, Pages 518–529
نویسندگان
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