KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

Intuitionistic fuzzy initial value problems - an application

Ömer Akın
Selami Bayeğ
Sayfa
1682–1694
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then we have given some numerical examples for the proposed method.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation.
📊
Temel Bulgular & Veri:In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation.
💡
Sonuç & Katkı:Then we have given some numerical examples for the proposed method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:intuitionistic fuzzy set and numbers · intuitionistic characterization and stacking theorems · intuitionistic initial value problems

Abstract

In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation. Then we have given some numerical examples for the proposed method.

🔖

Bu Makaleye Atıf Yap

Akın, Ö., Bayeğ, S. (2022). Intuitionistic fuzzy initial value problems - an application. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1682–1694. https://ajindex.com/articles/529726

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. O. Akin and O. Oruc, A prey predator model with fuzzy initial values, Hacet. J. Math. Stat. 41 (3), 387–395, 2012
  2. O. Akin, T. Khaniyev, S. Bayeg and I.B. Turksen, Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function, Turk. J. Math. Comput. Sci. 4, 16–25, 2016
  3. O. Akin, T. Khaniyev, O. Oruc and I.B. Turksen, An algorithm for the solution of second order fuzzy initial value problems, Expert Syst. Appl. 40, 953–957, 2013
  4. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20, 87–96, 1986
  5. K.T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets Syst. 33, 37–45, 1989
  6. K.T. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets Syst. 64, 159–174, 1994
  7. K.T. Atanassov, Remarks on the intuitionistic fuzzy sets — III, Fuzzy Sets Syst. 75, 401–402, 1995
  8. K.T. Atanassov, Remark on the intuitionistic fuzzy logics, Fuzzy Sets Syst. 95, 127– 129, 1998
  9. K.T. Atanassov, Two theorems for intuitionistic fuzzy sets, Fuzzy Sets Syst. 110, 267–269, 2000
  10. K.T. Atanassov, Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade’s paper "Terminological difficulties in fuzzy set theory-the case of "Intuitionistic Fuzzy Sets"", Fuzzy Sets and Syst. 156 (3), 496–499, 2005
  11. L. Atanassova, On Intuitionistic Fuzzy Versions of L. Zadeh’s Extension Principle, NIFS, 13, 33–36, 2007
  12. K.T. Atanassov and C. Georgiev, Intuitionistic fuzzy prolog, Fuzzy Sets Syst. 53, 121–128, 1993
  13. G.A. Banini and R.A. Bearman, Application of fuzzy cognitive maps to factors affecting slurry rheology, Int. J. Miner. Process. 52 (4), 233–244, 1998
  14. L.C. Barros, R.C. Bassanezi and P.A. Tonelli, Fuzzy modelling in population dynamics, Ecol. Model, 128 (2000), 27–33, 2000
  15. B. Bede, Mathematics of Fuzzy Sets and Fuzzy Logic, Springer-Verlag, Berlin Heidelberg, 2013
  16. B. Bede and L. Stefanini, Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Systems, 230, 119–141, 2013
  17. B. Bede, I.J. Rudas and A.L. Bencsik, First order linear fuzzy differential equations under generalized differentiability, Inform. Sci. 177 (7), 2007
  18. J.J. Buckley and T. Feuring, Fuzzy differential equations, Fuzzy Sets and Systems, 110 (1), 43–54, 2000
  19. J.J. Buckley and T. Feuring, Fuzzy initial value problem for N th-order linear differential equations, Fuzzy Sets and Systems, 121, 247–255, 2001
  20. J.J. Buckley, T. Feuring and Y. Hayashi, Linear systems of fir