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General Solutions of Fully Fuzzy Linear Systems

Author

Listed:
  • T. Allahviranloo
  • S. Salahshour
  • M. Homayoun-nejad
  • D. Baleanu

Abstract

We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so‐called general solutions. So, we firstly solve the 1‐cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well‐known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.

Suggested Citation

  • T. Allahviranloo & S. Salahshour & M. Homayoun-nejad & D. Baleanu, 2013. "General Solutions of Fully Fuzzy Linear Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:593274
    DOI: 10.1155/2013/593274
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    References listed on IDEAS

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    1. Amit Kumar & Neetu Babbar & Abhinav Bansal, 2012. "A new computational method to solve fully fuzzy linear systems for negative coefficient matrix," International Journal of Manufacturing Technology and Management, Inderscience Enterprises Ltd, vol. 25(1/2/3), pages 19-32.
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    Cited by:

    1. Jihan Hamaydi & Naji Qatanani, 2017. "Computational Methods for Solving Linear Fuzzy Volterra Integral Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).

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