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Can I read Iteration Algorithms for Solving a System of Fuzzy Linear Equations on EtoBox?
Iteration Algorithms for Solving a System of Fuzzy Linear Equations by Xizhao Wang; Zimian Zhong; Minghu Ha is a Computer Science article available to read on EtoBox.
What is Iteration Algorithms for Solving a System of Fuzzy Linear Equations about?
In this paper, we discuss the solution of a system of fuzzy linear equations, X = AX + U , and its iteration algorithms where A is a real n × n matrix, the unknown vector X and the constant U are all vectors consisting of n fuzzy numbers, and the addition, scale-multiplication are deÿned by Zadeh's extension principle. After introducing a metric between two fuzzy vectors, we prove that the system has unique solution if A ∞¡1. We also give the convergence and the error estimation for using simple iteration to obtain the solution. Finally, we give the convergence and the error estimation of successive iteration sequence for obtaining the solution.
Who reads Iteration Algorithms for Solving a System of Fuzzy Linear Equations?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Xizhao Wang; Zimian Zhong; Minghu Ha
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0165-0114)
- Published
- 2001
- Language
- EN
- Field
- Computer Science (Physical Sciences)