Fuzzy differential equations with interactive derivative

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• 作者：Laé ; cio Carvalho de Barros ^{laeciocb@ime.unicamp.br} ; Francielle Santo Pedro ; ^{fran.stopedro@gmail.com}
• 关键词：Analysis ; Fuzzy-set-valued function ; Interactive fuzzy process ; Fuzzy derivative ; Fuzzy differential equation
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：64-80
• 全文大小：395 K
• 卷排序：309

文摘

In this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions. This derivative considers possible local interactivity in the process studied. Several properties of differentiability and integrability are investigated for the new concept and they are compared to similar fuzzy differentiabilities like Hukuhara differentiability and generalized Hukuhara differentiability. Furthermore, we establish theorems as the fundamental theorem of calculus. Ultimately, we exhibit some results for fuzzy initial value problem and an application.