Solving fuzzy differential equations based on the length function properties

被引：22

作者：

Allahviranloo, T. ^{[1
]}

Chehlabi, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

来源：

SOFT COMPUTING | 2015年 / 19卷 / 02期

关键词：

Generalized differentiability; Fuzzy differential equations; Length function; Fuzzy numbers; NUMBER-VALUED FUNCTIONS; INITIAL-VALUE PROBLEM; GENERALIZED DIFFERENTIABILITY; DYNAMICAL-SYSTEMS;

D O I：

10.1007/s00500-014-1254-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, first, some properties of the length function for fuzzy numbers are introduced and then they are used for the concept of H-difference on fuzzy number-valued functions. Moreover the concept of generalized differentiability, its properties and switching points related to derivative of fuzzy number-valued functions are discussed in detail. Finally, the fuzzy differential equation is considered based on the concept of length function and it is illustrated by solving some numerical examples.

引用

页码：307 / 320

页数：14

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