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Three Group Classification Problem Approach Based on Fuzzy Goal Programming

Cilt: 23 Sayı: 4 1 Aralık 2020
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Three Group Classification Problem Approach Based on Fuzzy Goal Programming

Öz

In this study, a new fuzzy logic and mathematical programming based model was proposed to solve three-group classification problem. Determination of cut-off value, which corresponds to discrimination axis in classification problems, has importance. Status of the cut-off value such as asymmetric triangle fuzzy number, trapezoid fuzzy number and gauss fuzzy number was examined. The proposed approach displayed better performance when compared to Fisher's Linear Discriminant Function and some mathematical programming-based models by using three group data sets used frequently in the literature. 

Anahtar Kelimeler

Kaynakça

  1. [1] Fisher, R.A., “The use of multiple measurements in taxonomy problems”, Annals of Eugenics, 7, 179-188, (1936).
  2. [2] Smith, C. A., “Some examples of discrimination”, Annals of Eugenics, 13(1), 272-282, (1946).
  3. [3] Freed, N. & Glover, N.,”A linear programming approach to the discriminant problem”, Decision Sciences, 12, 68-74, (1981).
  4. [4] Stam, A. & Ragsdale, C.T., “On the classification gap in mathematical programming-based approaches to the discriminant problem”, Naval Research Logistics, 39, 545-559, (1992).
  5. [5] Rosen, J.B.,” Pattern separation by convex programming”, Journal of Mathematical Analysis and Applications, 10, 123-134, (1965).
  6. [6] Mangasarian O., “Linear and Nonlinear Separation of patterns by Linear Programming”, Operations Research, 13, 444-452, (1965).
  7. [7] Smith, F.W. “Pattern classifier design by linear programming”, IEEE Transactions on Computers, C-17 (4), 367-372, (1968).
  8. [8] Grinold, R.C.,” Mathematical programming methods for pattern classification”, Management Sciences, 19, 272-289,(1972).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Aralık 2020

Gönderilme Tarihi

2 Ağustos 2019

Kabul Tarihi

25 Ekim 2019

Yayımlandığı Sayı

Yıl 2020 Cilt: 23 Sayı: 4

Kaynak Göster

APA
Tüzüner, Z., & Bal, H. (2020). Three Group Classification Problem Approach Based on Fuzzy Goal Programming. Politeknik Dergisi, 23(4), 1089-1095. https://doi.org/10.2339/politeknik.600520
AMA
1.Tüzüner Z, Bal H. Three Group Classification Problem Approach Based on Fuzzy Goal Programming. Politeknik Dergisi. 2020;23(4):1089-1095. doi:10.2339/politeknik.600520
Chicago
Tüzüner, Zülal, ve Hasan Bal. 2020. “Three Group Classification Problem Approach Based on Fuzzy Goal Programming”. Politeknik Dergisi 23 (4): 1089-95. https://doi.org/10.2339/politeknik.600520.
EndNote
Tüzüner Z, Bal H (01 Aralık 2020) Three Group Classification Problem Approach Based on Fuzzy Goal Programming. Politeknik Dergisi 23 4 1089–1095.
IEEE
[1]Z. Tüzüner ve H. Bal, “Three Group Classification Problem Approach Based on Fuzzy Goal Programming”, Politeknik Dergisi, c. 23, sy 4, ss. 1089–1095, Ara. 2020, doi: 10.2339/politeknik.600520.
ISNAD
Tüzüner, Zülal - Bal, Hasan. “Three Group Classification Problem Approach Based on Fuzzy Goal Programming”. Politeknik Dergisi 23/4 (01 Aralık 2020): 1089-1095. https://doi.org/10.2339/politeknik.600520.
JAMA
1.Tüzüner Z, Bal H. Three Group Classification Problem Approach Based on Fuzzy Goal Programming. Politeknik Dergisi. 2020;23:1089–1095.
MLA
Tüzüner, Zülal, ve Hasan Bal. “Three Group Classification Problem Approach Based on Fuzzy Goal Programming”. Politeknik Dergisi, c. 23, sy 4, Aralık 2020, ss. 1089-95, doi:10.2339/politeknik.600520.
Vancouver
1.Zülal Tüzüner, Hasan Bal. Three Group Classification Problem Approach Based on Fuzzy Goal Programming. Politeknik Dergisi. 01 Aralık 2020;23(4):1089-95. doi:10.2339/politeknik.600520

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