International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2018
  • Volume: 7
  • Issue: 5

Applicability Properties of Eigenvalues and Eigenvectors in Classical Matrices – Relatevely Allow in Fuzzy Matrices

  • Author:
  • A. N. Mohamad1, Gebrehiwot2, Beharu Getachew3
  • Total Page Count: 19
  • Published Online: May 1, 2018
  • Page Number: 15 to 33

1Department of Mathematics and Modeling, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

2Department of mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

3M.Sc. (Algebra) Student, Department of Mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

Abstract

The Eigen value problem and Eigen vector Problems (EVP) are considered as theoretical way and have wide – range applications. Especially EVP is crucial in solving system of differential equations, Analyzing population growth Models etc. The problem of finding eigenvalue and eigenvector arise in wide variety of practical applications. The aim of this article to determine Fuzzy Eigen Values and fuzzy Eigen Vectors of fuzzy matrices: we will explain here some properties of classical matrix eigenvalues and eigenvectors are satisfied in Fuzzy matrix and also prove those properties in this article.

Keywords

Fuzzy numbers, fuzzy eigenvalues, fuzzy eigenvectors, triangular fuzzy numbers, and Fuzzy intervals