Araştırma Makalesi
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MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS

Yıl 2018, Cilt: 1 Sayı: 2, 204 - 215, 31.07.2018

El Hassan Eljaoui Said Melliani , Lalla Saadia Chadli

Öz

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.

Anahtar Kelimeler

Fuzzy numbers

Kaynakça

  • 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.

Yıl 2018, Cilt: 1 Sayı: 2, 204 - 215, 31.07.2018

El Hassan Eljaoui Said Melliani , Lalla Saadia Chadli

Öz

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

El Hassan Eljaoui Bu kişi benim

Said Melliani 0000-0002-5150-1185

Lalla Saadia Chadli

Gönderilme Tarihi 15 Mayıs 2018
Kabul Tarihi 5 Ağustos 2018
Yayımlanma Tarihi 31 Temmuz 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 2

Kaynak Göster

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. Temmuz 2018;1(2):204-215.
Chicago Eljaoui, El Hassan, Said Melliani, ve Lalla Saadia Chadli. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1, sy. 2 (Temmuz 2018): 204-15.
EndNote Eljaoui EH, Melliani S, Chadli LS (01 Temmuz 2018) MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. Journal of Universal Mathematics 1 2 204–215.
IEEE E. H. Eljaoui, S. Melliani, ve L. S. Chadli, “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”, JUM, c. 1, sy. 2, ss. 204–215, 2018.
ISNAD Eljaoui, El Hassan vd. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics 1/2 (Temmuz2018), 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 vd. “MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS”. Journal of Universal Mathematics, c. 1, sy. 2, 2018, ss. 204-15.
Vancouver Eljaoui EH, Melliani S, Chadli LS. MULTIPLICATION OPERATION AND POWERS OF TRAPEZOIDAL FUZZY NUMBERS. JUM. 2018;1(2):204-15.