Decreasing rearrangement and a fuzzy variational problem
نویسنده
چکیده
In this note we introduce a variational problem with respect to an integrable fuzzy set f . The energy functional is maximized over a deleted σ -algebra. Using the decreasing rearrangement of f we prove that the admissible set can be replaced by the more convenient set of cuts of f . Finally an special case is considered where the variational problem can be transformed into a one dimensional setting. © 2004 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 18 شماره
صفحات -
تاریخ انتشار 2005