A New Method for Solving Interval and Fuzzy Quadratic Equations of Dual Form

Authors

DOI:

https://doi.org/10.25079/ukhjse.v5n2y2021.pp81-89

Keywords:

Extended zero, Dual equation, Interval arithmetic.

Abstract

In this paper, we present a numerical method for solving a quadratic interval equation in its dual form. The method is based on the generalized procedure of interval extension called” interval extended zero” method. It is shown that the solution of interval quadratic equation based on the proposed method may be naturally treated as a fuzzy number. An important advantage of the proposed method is that it substantially decreases the excess width defect. Several numerical examples are included to demonstrate the applicability and validity of the proposed method.

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Author Biography

  • Kamal Mamehrashi, Department of Mathematics, School of Science and Engineering, University of Kurdistan Hewler, Erbil, KRI, Iraq

    Kamal received his PhD in Applied Mathematics (Optimal Control & Optimization) in 2016, MSc in Applied Mathematics (Dynamical Systems) in 2003 and BSc in Pure Mathematics in 2000. He joined the Mathematics unit at UKH as a lecturer in February, 2017. Before joining UKH, he has taught as an Assistant Professor and Lecturer for 15 years from 2002 at different Universities in Iran. Kamal has worked as the head of mathematics and engineering department for more than 10 years. He is currently working on 2D optimal control problems and fractional optimal control problems by using the numerical methods and also has published several journal papers.

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Published

2021-12-28

Issue

Vol. 5 No. 2 (2021): ISSUE 9

Section

Research Articles

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How to Cite

A New Method for Solving Interval and Fuzzy Quadratic Equations of Dual Form. (2021). UKH Journal of Science and Engineering, 5(2), 81-89. https://doi.org/10.25079/ukhjse.v5n2y2021.pp81-89

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