Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Sayı: 33, 85 - 94, 31.12.2020

Öz

Kaynakça

  • L. A. Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338- 353.
  • K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87-96.
  • R.R. Yager, A.M. Abbasov, Pythagorean Membership Grades, Complex Numbers and Decision Making, International Journal of Intelligent Systems 28 (2013) 436-452.
  • F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability; American Research Press: Rehoboth, DE, USA, 1999.
  • F. Smarandache, Degree of Dependence and Independence of The (sub)components of Fuzzy Set and Neutrosophic set, Neutrosophic Sets and Systems 11 (2016) 95-97.
  • J. Ye, Single-valued Neutrosophic Cross-entropy for Multicriteria Decision-making Problems, Applied Mathematical Modelling 38 (2014) 1170-1175.
  • J. Ye, Multicriteria Decision-making Method Using The Correlation Coefficient under Single-valued Neutrosophic Environment, International Journal of General Systems 42(4) (2013) 386-394.
  • J. Ye, Similarity Measure Between Interval Neutrosophic Sets and Their Applications in Multicriteria Decision making, Journal of Intelligent and Fuzzy Systems 26 (2014) 165-172.
  • Z.S. Xu, J. Chen, J.J. Wu, Clustering Algorithm for Intuitionistic Fuzzy Sets, Information Science 19 (2008) 3775-3790.
  • H.M. Zhang, Z.S. Xu, Q. Chen, Clustering Method of Intuitionistic Fuzzy Sets, Control Decision 22 (2007) 882-888.
  • J. Ye, Clustering Methods Using Distance-Based Similarity Measures of Single-valued Neutrosophic Sets, Journal Intelligent Systems 23 (2014) 379-389.
  • X. Peng, Y. Yang, Some Results for Pythagorean Fuzzy Sets, International Journal of Intelligent Systems 30 (2015) 1133-1160.
  • R.R. Yager, Pythagorean Fuzzy Subsets, in: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57-61.

Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F

Yıl 2020, Sayı: 33, 85 - 94, 31.12.2020

Öz

Clustering plays an important role in data mining, pattern recognition and machine learning. This paper proposes Pythagorean neutrosophic clustering methods based on similarity measures between Pythagorean neutrosophic sets with T and F are dependent neutrosophic components [PN-Set]. First, we define a generalized distance measure between PN-Sets and propose two distance-based similarity measures of PN-Sets. Then, we present a clustering algorithm based on the similarity measures of PN-Sets to cluster Pythagorean neutrosophic data. Finally, an illustrative example is given to demonstrate the application and effectiveness of the developed clustering methods.

Kaynakça

  • L. A. Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338- 353.
  • K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87-96.
  • R.R. Yager, A.M. Abbasov, Pythagorean Membership Grades, Complex Numbers and Decision Making, International Journal of Intelligent Systems 28 (2013) 436-452.
  • F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability; American Research Press: Rehoboth, DE, USA, 1999.
  • F. Smarandache, Degree of Dependence and Independence of The (sub)components of Fuzzy Set and Neutrosophic set, Neutrosophic Sets and Systems 11 (2016) 95-97.
  • J. Ye, Single-valued Neutrosophic Cross-entropy for Multicriteria Decision-making Problems, Applied Mathematical Modelling 38 (2014) 1170-1175.
  • J. Ye, Multicriteria Decision-making Method Using The Correlation Coefficient under Single-valued Neutrosophic Environment, International Journal of General Systems 42(4) (2013) 386-394.
  • J. Ye, Similarity Measure Between Interval Neutrosophic Sets and Their Applications in Multicriteria Decision making, Journal of Intelligent and Fuzzy Systems 26 (2014) 165-172.
  • Z.S. Xu, J. Chen, J.J. Wu, Clustering Algorithm for Intuitionistic Fuzzy Sets, Information Science 19 (2008) 3775-3790.
  • H.M. Zhang, Z.S. Xu, Q. Chen, Clustering Method of Intuitionistic Fuzzy Sets, Control Decision 22 (2007) 882-888.
  • J. Ye, Clustering Methods Using Distance-Based Similarity Measures of Single-valued Neutrosophic Sets, Journal Intelligent Systems 23 (2014) 379-389.
  • X. Peng, Y. Yang, Some Results for Pythagorean Fuzzy Sets, International Journal of Intelligent Systems 30 (2015) 1133-1160.
  • R.R. Yager, Pythagorean Fuzzy Subsets, in: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57-61.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Jansi Rajan Bu kişi benim 0000-0003-0588-9067

Mohana Krıshnaswamy Bu kişi benim 0000-0002-0640-575X

Yayımlanma Tarihi 31 Aralık 2020
Gönderilme Tarihi 8 Ocak 2019
Yayımlandığı Sayı Yıl 2020 Sayı: 33

Kaynak Göster

APA Rajan, J., & Krıshnaswamy, M. (2020). Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F. Journal of New Theory(33), 85-94.
AMA Rajan J, Krıshnaswamy M. Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F. JNT. Aralık 2020;(33):85-94.
Chicago Rajan, Jansi, ve Mohana Krıshnaswamy. “Similarity Measures of Pythagorean Neutrosophic Sets With Dependent Neutrosophic Components Between T and F”. Journal of New Theory, sy. 33 (Aralık 2020): 85-94.
EndNote Rajan J, Krıshnaswamy M (01 Aralık 2020) Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F. Journal of New Theory 33 85–94.
IEEE J. Rajan ve M. Krıshnaswamy, “Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F”, JNT, sy. 33, ss. 85–94, Aralık 2020.
ISNAD Rajan, Jansi - Krıshnaswamy, Mohana. “Similarity Measures of Pythagorean Neutrosophic Sets With Dependent Neutrosophic Components Between T and F”. Journal of New Theory 33 (Aralık 2020), 85-94.
JAMA Rajan J, Krıshnaswamy M. Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F. JNT. 2020;:85–94.
MLA Rajan, Jansi ve Mohana Krıshnaswamy. “Similarity Measures of Pythagorean Neutrosophic Sets With Dependent Neutrosophic Components Between T and F”. Journal of New Theory, sy. 33, 2020, ss. 85-94.
Vancouver Rajan J, Krıshnaswamy M. Similarity Measures of Pythagorean Neutrosophic Sets with Dependent Neutrosophic Components Between T and F. JNT. 2020(33):85-94.


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