A generalized convex quadratic programming to solve fuzzy linear system

Document Type : Original Paper

Authors

1 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

2 Department of Applied Mathematics, Damghan University, Damghan, Iran

Abstract

The linear systems are one of the most important tools for modeling real-world phenomena. Because the real-world phenomena are always associated with uncertainty, solving the fuzzy linear system have a great importance. One of the proposed methods to find the exact and approximate solutions of a fuzzy linear system is using the least squares method. In this method, by choosing an arbitrary meter and solving a quadratic programming, they provide an approximate (or exact) solution for the fuzzy linear system. In this paper, at first, we prove that under some conditions and not depending on the selected meter the quadratic programming is convex. Therefore, by considering three different meters and solving several examples, we compare the obtained approximate solutions.

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References

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Journal of Advanced Mathematical Modeling
Volume 9, Issue 2
September 2019
Pages 146-170

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History

  • Receive Date: 04 July 2018
  • Revise Date: 24 July 2019
  • Accept Date: 02 August 2019

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