A new technique to solve fuzzy differential equations

被引：0

作者：

Ashraf, Samina ^{[1
]}

Ahmed, Imran ^{[2
]}

Rashmanlou, Hossein ^{[3
]}

机构：

[1] Queen Mary Coll Women, Dept Math, Lahore, Pakistan

[2] COMSATS Inst Informat Technol, Dept Math, MA Jinnah Campus,Def Rd,Off Raiwind Rd, Lahore, Pakistan

[3] Islamic Azad Univ, Sama Tech & Vocat Training Coll, Sari Branch, Sari, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 34卷 / 04期

关键词：

Fuzzy differential equations; Zadeh's extension principle; averaging extension principle;

D O I：

10.3233/JIFS-171060

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, fuzzy differential equations are approached in a different prospective via the newly introducedAverage Extension Principle (AEP). We prove some concrete results on the existence and uniqueness of the solutions obtained by making use of AEP. We provide some illustrative examples to compare the solutions obtained by AEP and previous techniques.

引用

页码：2171 / 2176

页数：6

共 22 条

[1] A full fuzzy method for solving differential equation based on Taylor expansion
Allahviranloo, T.
Gouyandeh, Z.
Armand, A.
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (03) : 1039 - 1055
[2] Solving fuzzy differential equations based on the length function properties
Allahviranloo, T.
Chehlabi, M.
[J]. SOFT COMPUTING, 2015, 19 (02) : 307 - 320
[3] Solving fuzzy differential equations by differential transformation method
Allahviranloo, T.
Kiani, N. A.
Motamedi, N.
[J]. INFORMATION SCIENCES, 2009, 179 (07) : 956 - 966
[4] BASSANEZI RC, 1995, KYBERNETES, V24, P91, DOI 10.1108/03684929510095702
[5] First order linear fuzzy differential equations under generalized differentiability
Bede, Barnabas
Rudas, Imre J.
Bencsik, Attila L.
[J]. INFORMATION SCIENCES, 2007, 177 (07) : 1648 - 1662
[6] On new solutions of fuzzy differential equations
Chalco-Cano, Y.
Roman-Flores, H.
[J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (01) : 112 - 119
[7] The extension principle and a decomposition of fuzzy sets
Chalco-Cano, Y.
Roman-Flores, H.
Rojas-Medar, M.
Saavedra, O. R.
Jimenez-Gamero, M. D.
[J]. INFORMATION SCIENCES, 2007, 177 (23) : 5394 - 5403
[8] Comparation between some approaches to solve fuzzy differential equations
Chalco-Cano, Y.
Roman-Flores, H.
[J]. FUZZY SETS AND SYSTEMS, 2009, 160 (11) : 1517 - 1527
[9] Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations
Diamond, P
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (06) : 734 - 740
[10] Hartman P., 2002, ORDINARY DIFFERENTIA, V2nd edn

← 1 2 3 →