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Minimal solution of general dual fuzzy linear systems

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  • Abbasbandy, S.
  • Otadi, M.
  • Mosleh, M.

Abstract

Fuzzy linear systems of equations, play a major role in several applications in various area such as engineering, physics and economics. In this paper, we investigate the existence of a minimal solution of general dual fuzzy linear equation systems. Two necessary and sufficient conditions for the minimal solution existence are given. Also, some examples in engineering and economic are considered.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:4:p:1113-1124
    DOI: 10.1016/j.chaos.2006.10.045
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    References listed on IDEAS

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    1. Abbasbandy, S. & Nieto, Juan J. & Alavi, M., 2005. "Tuning of reachable set in one dimensional fuzzy differential inclusions," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1337-1341.
    2. Nozari, Kourosh & Fazlpour, Behnaz, 2007. "Some consequences of spacetime fuzziness," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 224-234.
    3. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    4. Jiang, Wang & Guo-Dong, Qiao & Bin, Deng, 2005. "H∞ Variable universe adaptive fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1075-1086.
    5. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
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    Cited by:

    1. Mahmood Otadi & Maryam Mosleh, 2012. "Solution of Fuzzy Matrix Equation System," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-8, September.
    2. 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.

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