General strong fuzzy solutions of complex fuzzy matrix equations involving the Moore-Penrose weak group inverse

被引：0
|
作者：
Wu, Jinzhao [1 ,2 ]
Jiang, Hongjie [1 ]
He, Mengyu [3 ]
Liu, Xiaoji [4 ]
机构：
[1] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
[2] Guilin Univ Aerosp Technol, Sch Sci, Guilin 541004, Guangxi, Peoples R China
[3] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Guangxi, Peoples R China
[4] Guangxi Vocat Normal Univ, Sch Educ, Nanning 530007, Guangxi, Peoples R China
来源：
INFORMATION SCIENCES | 2024年 / 654卷
基金：
中国国家自然科学基金;
关键词：
Complex fuzzy matrix equation; MPWG inverse; General strong fuzzy solution; Block structure; BLOCK REPRESENTATION; CORE INVERSE; SYSTEM;
D O I：
10.1016/j.ins.2023.119832
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the f uzzy solutions of the complex f uzzy matrix equation (CFME) CZ = W, in which C is a complex crisp matrix, and W is a comple x fuzzy matrix. The purpose of this paper is three-fold . Firstly, the necessa r y and sufficient conditions for the existence of strong fuzzy solutions to the CFM E are obtained using the MPWG inverse of the coefficient matrix. Secondly, we obtain a necessa r y and sufficient condition for the existence of S-dagger,S-WG >= 0 (S-dagger,S-WG is called the Moore-Penrose weak group inverse of the coefficient matrix S) in order to obtain a strong fuzzy matrix solution of CFME. Moreover, general strong fuzzy solutions of the CFM E are derived and an algorithm for obtaining general strong fuzz y solutions of CFME by the MPWG inverse is also established. Finally, some numerical examples are given to illustrate the main results.
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页数：17
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