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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

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

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

Publication Date July 31, 2018
Submission Date May 15, 2018
Acceptance Date August 5, 2018
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.
AMA Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM. July 2018;1(2):204-215.
Chicago Eljaoui, El Hassan, Said Melliani, and Lalla Saadia Chadli. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1, no. 2 (July 2018): 204-15.
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 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, 2018.
ISNAD Eljaoui, El Hassan et al. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1/2 (July 2018), 204-215.
JAMA 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, 2018, pp. 204-15.
Vancouver Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM. 2018;1(2):204-15.
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