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An α -cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems

Author

Listed:
  • Reza Hassanzadeh
  • Iraj Mahdavi
  • Nezam Mahdavi-Amiri
  • Ali Tajdin

Abstract

We propose an approach for computing the product of various fuzzy numbers using α-cuts. A regression model is used to obtain the membership function of the product. Then, we make use of the approach to compute solutions of fully fuzzy linear systems. We also show how to compute solutions of fully fuzzy linear systems with various fuzzy variables. Examples are worked out to illustrate the approach.

Suggested Citation

  • Reza Hassanzadeh & Iraj Mahdavi & Nezam Mahdavi-Amiri & Ali Tajdin, 2018. "An α -cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 12(2), pages 167-189.
    • Handle: RePEc:ids:ijmore:v:12:y:2018:i:2:p:167-189
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