Solution of Fuzzy Algebraic Equations for New Fuzzy Number

Authors

  • Makwana Vijay C.  Department of Mathematics, Government Engineering College, Patan, Gujarat, India
  • Soni Vijay P.  Department of Mathematics, Government Engineering College, Patan, Gujarat, India
  • Dr. P. J. Bhatt  Department of Mathematics, Hemchandracharya North Gujarat University, Patan, Gujarat, India

Keywords:

Fuzzy Number, Fuzzy Arithmetic and Fuzzy Algebraic Equations.

Abstract

The use of new concept of fuzzy number as an equivalence class on R for solving fuzzy equation is proposed. This approach of solving fuzzy equations by new concept of fuzzy number has a considerable advantage. Through theoretical analysis, an illustrative example and computational results the paper shows that the proposed approach is more general and straight-forward for solving fuzzy algebraic equations.

References

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  2. D. Dubois and H. Prade, "Fuzzy Set Theoretic Differences and Inclusions and Their Use in The Analysis of Fuzzy Equations" Control Cybern ( Warshaw), Vol.13,1984,pp.129-146.
  3. E. Sanchez,"Solution of fuzzy equations with Extended Operations," Fuzzy sts and system, Vol.12.12,1984,pp.273-248. Doi:10.1016/0165-0114(84)90071-X.
  4. J. Wasowki, "On solution of fuzzy equation" Cotrol and Cybern, Vol.26, 1997,pp.653-658.
  5. Alefeld, G., and Herzberger, J., Introduction to interval Computation. ( Academic Press, New York 1983).

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-08-30

Issue

Volume 2, Issue 4, July-August-2016

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Makwana Vijay C., Soni Vijay P., Dr. P. J. Bhatt "Solution of Fuzzy Algebraic Equations for New Fuzzy Number" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 4, pp.124-130, July-August-2016.