A new method for solving fuzzy integro-differential equation under generalized differentiability

被引：38

作者：

Allahviranloo, T. ^{[1
]}

Abbasbandy, S. ^{[1
]}

Sedaghgatfar, O. ^{[1
]}

Darabi, P. ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran 14515775, Iran

来源：

NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷

关键词：

Fuzzy integro-differential equation (FIDE); Interval integro-differential equation; Strongly generalized H-differentiability; VALUED FUNCTIONS;

D O I：

10.1007/s00521-011-0759-3

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, a new approach for solving fuzzy integro-differential equations (FIDEs) with fuzzy initial value is considered under strongly generalized H-differentiability. Notice the point that this method is used for fuzzy integro-differential equations with trapezoid fuzzy initial value. The idea of the presented approach is constructed based on the extending of 0-cut and 1-cut solutions of original FIDEs. The solution of FIDE will be found by considering convex combination of 0-cut and 1-cut solutions. The obtained solution will be exact by choosing the different types of derivatives.

引用

页码：S191 / S196

页数：6

共 11 条

[1]

Allahviranloo T, 2010, COMM COM INF SC, V81, P522

[2] Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations [J].

Bede, B ;

Gal, SG .

FUZZY SETS AND SYSTEMS, 2005, 151 (03) :581-599

[3] On new solutions of fuzzy differential equations [J].

Chalco-Cano, Y. ;

Roman-Flores, H. .

CHAOS SOLITONS & FRACTALS, 2008, 38 (01) :112-119

[4] Fuzzy linear systems [J].

Friedman, M ;

Ming, M ;

Kandel, A .

FUZZY SETS AND SYSTEMS, 1998, 96 (02) :201-209

[5] Numerical solutions of fuzzy differential and integral equations [J].

Friedman, M ;

Ma, M ;

Kandel, A .

FUZZY SETS AND SYSTEMS, 1999, 106 (01) :35-48

[6]

Hajighasemi S, 2010, COMM COM INF SC, V81, P491

[7] FUZZY DIFFERENTIAL-EQUATIONS [J].

KALEVA, O .

FUZZY SETS AND SYSTEMS, 1987, 24 (03) :301-317

[8]

Khastan A, 2009, NEW RESULTS MULTIPLE

[9] FUZZY RANDOM-VARIABLES [J].

PURI, ML ;

RALESCU, DA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :409-422

[10]

Ralescu D.A., 1979, Advances in Fuzzy Sets Theory and Applications, P77

← 1 2 →