Gradient Descent Method for Perron Eigenvalue Minimization of Incomplete Pairwise Comparison Matrices


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Authors

  • Hailemariam Abebe Tekile Department of Mathematics, College of Natural and Computational Science, University of Gondar, Gondar, Ethiopia

Keywords:

Perron eigenvalue, Incomplete pairwise comparison matrix, Gradient descent method, Convex programming

Abstract

Pairwise comparison matrices are often employed as a basic tool in multi-criteria decision-making. Incomplete matrix appears when some elements are missing. The paper aims to implement Gradient descent method for minimization of Perron eigenvalue problem that arises from incomplete pairwise comparison matrices. Numerical example is given at the end.

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Published

15-06-2019

How to Cite

Hailemariam Abebe Tekile. (2019). Gradient Descent Method for Perron Eigenvalue Minimization of Incomplete Pairwise Comparison Matrices. International Journal of Mathematics And Its Applications, 7(2), 137–148. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/256

Issue

Vol. 7 No. 2 (2019)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.