An extension method for fully fuzzy Sylvester matrix equation

被引：1
|
作者：
Hou, Liangshao [1 ]
Zhou, Jieyong [2 ]
He, Qixiang [3 ,4 ]
机构：
[1] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Kowloon, Hong Kong, Peoples R China
[2] Shanghai Univ Finance & Econ, Lab Computat Math, Shanghai Key Lab Financial Informat Technol, Math Sch, Shanghai 200433, Peoples R China
[3] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
[4] Shanghai Univ Finance & Econ, Zhejiang Coll, Shanghai 321013, Zhejiang, Peoples R China
来源：
SOFT COMPUTING | 2021年 / 25卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Fuzzy number; Fully fuzzy Sylvester matrix equation; Interval analysis; alpha-cut;
D O I：
10.1007/s00500-021-05573-z
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
An extension method is proposed to solve a class of fully fuzzy Sylvester matrix equation (FFSME) under some mild assumptions. This method consists of two steps. Firstly, the fully fuzzy system is transferred into a series of interval Sylvester matrix equations through alpha-cut. Secondly, these interval systems are extended into crisp systems which is easy to be solved. The solutions of FFSME are not presumed to be triangular-type fuzzy numbers. Moreover, some examples are presented to show the validity of our method.
引用
收藏
页码：5763 / 5774
页数：12
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