Complex fuzzy system of linear equations with symmetric positive definite coefficient matrix
Publish place: 1st National Conference on Soft Computing
Publish Year: 1394
Type: Conference paper
Language: English
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Document National Code:
CSCG01_147
Index date: 21 October 2017
Complex fuzzy system of linear equations with symmetric positive definite coefficient matrix abstract
In this paper, we investigate an approach to solve complex fuzzy system of linear equations in the form = , where ∈ ℝ × is a crisp symmetric positive definite matrix and , are the complex fuzzy vectors. After reviewing the existence and uniqueness theorems, we propound special technique for converting such problems to systems oflinear equations. Then we apply direct and decomposition methods to solve them. The applicability and efficiency of this approach is illustrated with a numerical example.
Complex fuzzy system of linear equations with symmetric positive definite coefficient matrix Keywords:
Complex fuzzy number , Symmetric positive definite , System of linear equations , Cholesky decomposition method
Complex fuzzy system of linear equations with symmetric positive definite coefficient matrix authors
Behrouz Fathi Vajargah
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan
Zeinab Hassanzadeh
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan