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

  1. J. J. Buckley, "Solving fuzzy equations" fuzzy sets and system, Vol.50, No.1, 1992, pp.1-14.
  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.