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MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS

Year 2018, Volume: 1 Issue: 2, 204 - 215, 31.07.2018

El Hassan Eljaoui Said Melliani , Lalla Saadia Chadli

https://izlik.org/JA52ZP69TN

Abstract

In this work, we explore and exhibe some numerical methods to calculate two types of the product (respectively powers) of trapezoidal fuzzy numbers. As a particular case, we study the multiplication operation on triangular fuzzy numbers, we report and correct errors in an article dealing with the same topic.

Keywords

Fuzzy numbers

References

  • A. Bansal, Trapezoidal Fuzzy Numbers (a,b,c,d): Arithmetic Behavior, Int. J. Physical Math. Sci., 2011, pp.39-44 (2011).
  • D. Dubois & H. Prade, Operations on Fuzzy Numbers, Int. J. Systems Sci., 9, pp.613-626 (1978).
  • J. Fodor & B. Bede, Arithmetics With Fuzzy Numbers: A Comparative Overview.
  • S. Gao, Z. Zhang and C. Cao, Multiplicatin Operation on Fuzzy Numbers, Journal of Software, 2009, 331-338 (2009).
  • S. Heilpern, Rpresetation and Application of Fuzzy Numbers, Fuzzy sets and Systems, 91, 259-268 (1997).
  • G. J. Klir, Fuzzy Arithmetic with Requisite Constraints, Fuzzy sets and Systems, 91, 65-175 (1997).
  • G. J. Klir, Fuzzy Sets: An Overview of Fundmentals, Applications and Personal Views, Beijing Normal University Presse, 2000, 44-49 (2000).
  • H. M. Lee and L. Lin , Using Weighted Triangular Fuzzy Numbers to Evaluate the rate of aggregative risk in software developpement, Proceeding of 7th International Conference of Machine Learning and Cybernetics, 2008, 7, 3762-3767.
  • S. Mahanta, R. Chuta and H.K. Baruah, Fuzzy Arithmetic Without Using the Method of alpha-Cuts, Int. J. Latest Trents Comput., 1 , 73-80, (2010).
  • N. Gani, and S. N. M. Assarudeen, A New Operation on Triangular Fuzzy Number for Solving Linear Programming Problem, Appl. Math. Sci., 525-532, 2012.L. A. Zadeh, Fuzzy Set, Information and Control, 8, 339-353, 1965.

Year 2018, Volume: 1 Issue: 2, 204 - 215, 31.07.2018

El Hassan Eljaoui Said Melliani , Lalla Saadia Chadli

https://izlik.org/JA52ZP69TN

Abstract

References

  • A. Bansal, Trapezoidal Fuzzy Numbers (a,b,c,d): Arithmetic Behavior, Int. J. Physical Math. Sci., 2011, pp.39-44 (2011).
  • D. Dubois & H. Prade, Operations on Fuzzy Numbers, Int. J. Systems Sci., 9, pp.613-626 (1978).
  • J. Fodor & B. Bede, Arithmetics With Fuzzy Numbers: A Comparative Overview.
  • S. Gao, Z. Zhang and C. Cao, Multiplicatin Operation on Fuzzy Numbers, Journal of Software, 2009, 331-338 (2009).
  • S. Heilpern, Rpresetation and Application of Fuzzy Numbers, Fuzzy sets and Systems, 91, 259-268 (1997).
  • G. J. Klir, Fuzzy Arithmetic with Requisite Constraints, Fuzzy sets and Systems, 91, 65-175 (1997).
  • G. J. Klir, Fuzzy Sets: An Overview of Fundmentals, Applications and Personal Views, Beijing Normal University Presse, 2000, 44-49 (2000).
  • H. M. Lee and L. Lin , Using Weighted Triangular Fuzzy Numbers to Evaluate the rate of aggregative risk in software developpement, Proceeding of 7th International Conference of Machine Learning and Cybernetics, 2008, 7, 3762-3767.
  • S. Mahanta, R. Chuta and H.K. Baruah, Fuzzy Arithmetic Without Using the Method of alpha-Cuts, Int. J. Latest Trents Comput., 1 , 73-80, (2010).
  • N. Gani, and S. N. M. Assarudeen, A New Operation on Triangular Fuzzy Number for Solving Linear Programming Problem, Appl. Math. Sci., 525-532, 2012.L. A. Zadeh, Fuzzy Set, Information and Control, 8, 339-353, 1965.
There are 10 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

El Hassan Eljaoui This is me

Said Melliani 0000-0002-5150-1185

Lalla Saadia Chadli

Submission Date May 15, 2018
Acceptance Date August 5, 2018
Publication Date July 31, 2018
IZ https://izlik.org/JA52ZP69TN
Published in Issue Year 2018 Volume: 1 Issue: 2

Cite

APA Eljaoui, E. H., Melliani, S., & Chadli, L. S. (2018). MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. Journal of Universal Mathematics, 1(2), 204-215. https://izlik.org/JA52ZP69TN
AMA 1.Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM. 2018;1(2):204-215. https://izlik.org/JA52ZP69TN
Chicago Eljaoui, El Hassan, Said Melliani, and Lalla Saadia Chadli. 2018. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1 (2): 204-15. https://izlik.org/JA52ZP69TN.
EndNote Eljaoui EH, Melliani S, Chadli LS (July 1, 2018) MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. Journal of Universal Mathematics 1 2 204–215.
IEEE [1]E. H. Eljaoui, S. Melliani, and L. S. Chadli, “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”, JUM, vol. 1, no. 2, pp. 204–215, July 2018, [Online]. Available: https://izlik.org/JA52ZP69TN
ISNAD Eljaoui, El Hassan - Melliani, Said - Chadli, Lalla Saadia. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1/2 (July 1, 2018): 204-215. https://izlik.org/JA52ZP69TN.
JAMA 1.Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM. 2018;1:204–215.
MLA Eljaoui, El Hassan, et al. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics, vol. 1, no. 2, July 2018, pp. 204-15, https://izlik.org/JA52ZP69TN.
Vancouver 1.Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM [Internet]. 2018 July 1;1(2):204-15. Available from: https://izlik.org/JA52ZP69TN

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