On a type-2 fuzzy approach to solution of second-order initial value problem

被引：3
|
作者：
Bayeg, Selami [1 ]
Mert, Raziye [2 ]
Akin, Omer [3 ]
Khaniyev, Tahir [4 ]
机构：
[1] Univ Turkish Aeronaut Assoc, Dept Ind Engn, Okul Sokak 11, TR-06790 Ankara, Turkey
[2] Adana Alparslan Turkes Univ Sci & Technol, Dept Software Engn, Catalan Caddesi, TR-01250 Adana, Turkey
[3] TOBB Univ Econ & Technol, Dept Math, Sogutozu Cd 43, TR-06510 Ankara, Turkey
[4] TOBB Univ Econ & Technol, Dept Ind Engn, Sogutozu Cd 43, TR-06510 Ankara, Turkey
来源：
SOFT COMPUTING | 2022年 / 26卷 / 04期
关键词：
Type-2 fuzzy second order differential equation; Perfect triangular type-2 fuzzy number; (alpha; beta)-cut representation; Mechanical vibration; RLC circuit; DIFFERENTIAL-EQUATIONS; SETS;
D O I：
10.1007/s00500-021-06607-2
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, we have proposed a new representation of the triangular type-2 fuzzy numbers called the perfect triangular type-2 fuzzy numbers and defined their level sets by the (alpha, beta)-cut representation. With respect to this (alpha, beta)-cut representation, we have defined the algebraic operations for perfect triangular type-2 fuzzy numbers by using interval arithmetics. And then, we have proposed a method to find the solutions for second-order initial value problems with perfect triangular type-2 fuzzy initial conditions and forcing coefficients based on the Zadeh's extension principle. Finally, we have used the proposed method for the mechanical vibration and RLC circuit models with perfect triangular type-2 fuzzy numbers.
引用
收藏
页码：1671 / 1683
页数：13
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