کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389719 661169 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence of fuzzy sets with respect to the supremum metric
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Convergence of fuzzy sets with respect to the supremum metric
چکیده انگلیسی

We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the α-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper quasi-pseudometric parts. This characterization is given in the more general context with no assumption on the fuzzy sets. Furthermore, motivated from the theory of Convex Analysis, we also provide some results about the behavior of the convergence in the supremum metric with respect to maximizers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 245, 16 June 2014, Pages 83–100
نویسندگان
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