کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10324156 | 661409 | 2005 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The usual concept of differentiability of fuzzy-number-valued functions, has the following shortcoming: if c is a fuzzy number and g:[a,b]âR is an usual real-valued function differentiable on x0â(a,b) with gâ²(x0)⩽0, then f(x)=câg(x) is not differentiable on x0. In this paper we introduce and study generalized concepts of differentiability (of any order nâN), which solves this shortcoming. Newton-Leibnitz-type formula is obtained and existence of the solutions of fuzzy differential equations involving generalized differentiability is studied. Also, some concrete applications to partial and ordinary fuzzy differential equations with fuzzy input data of the form câg(x), are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 151, Issue 3, 1 May 2005, Pages 581-599
Journal: Fuzzy Sets and Systems - Volume 151, Issue 3, 1 May 2005, Pages 581-599
نویسندگان
Barnabás Bede, Sorin G. Gal,