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Solution to general fuzzy linear system and its necessary and sufficient condition

Author

Listed:
  • Xu-dong Sun

    (Liaoning Technical University)

  • Si-zong Guo

    (Liaoning Technical University)

Abstract

This paper investigates general fuzzy linear systems of the form Ax = y and general dual fuzzy linear systems of the form Ax + y = Bx + z with A, B matrices of crisp coefficients and x, y fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with non-full rank matrices A, B. Second, we give the new necessary and sufficient condition for a strong fuzzy solution existence. Moreover, some numerical examples are designed.

Suggested Citation

  • Xu-dong Sun & Si-zong Guo, 2009. "Solution to general fuzzy linear system and its necessary and sufficient condition," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 317-327, September.
    • Handle: RePEc:spr:fuzinf:v:1:y:2009:i:3:d:10.1007_s12543-009-0024-y
    DOI: 10.1007/s12543-009-0024-y
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    References listed on IDEAS

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    1. Abbasbandy, S. & Otadi, M. & Mosleh, M., 2008. "Minimal solution of general dual fuzzy linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1113-1124.
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    Cited by:

    1. Amit Kumar & Neetu & Abhinav Bansal, 2012. "A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 63-73, March.

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