Estimation of the randomized complete block design parameters with fuzzy goal programming

APAYDIN, Ayşen; ŞANLI KULA, KAMİLE

Estimation of the randomized complete block design parameters with fuzzy goal programming

Kamile Şanlı KULA, (Ahi Evran Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Kırşehir, Türkiye)

Ayşen APAYDIN (Ankara Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Ankara, Türkiye)

Mathematical and Computational Applications

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Yıl: 2011 Cilt: 16 Sayı: 3 Sayfa Aralığı: 721 - 727 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Estimation of the randomized complete block design parameters with fuzzy goal programming

Öz:

Since goal programming was introduced by Charnes, Cooper and Ferguson (1955), goal programming has been widely studied and applied in various areas. Parameter estimation is quite important in many areas. Recently, many researches have been studied in fuzzy estimation. In this study, fuzzy goal programming was proposed by Hannan (1981) adapted to estimation of randomized complete block design parameters. Suggested fuzzy goal programming is used for estimation of randomized complete block design parameters. Two numerical examples are used to illustrate the applicability of the suggested method. Then, the results obtained from classical method and suggested methods have been compared.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

1. A. Charnes, W.W. Cooper and R. Ferguson, Optimal estimation of executive compensation by linear programming, Management Science 1, 138-151, 1955
2. U. Ciptomulyono, Fuzzy goal programming approach for deriving priority weights in the analytical hierarchy proces (AHP) Method, Journal of Applied Sciences Research 4, 171-177, 2008
3. M. Güneş and N. Umarosman, Fuzzy goal programming approach on computation of the fuzzy arithmetic mean, Mathematical and Computational Applications 10, 211-220, 2005.
4. E.L. Hannan, Linear programming with multiple fuzzy goals, Fuzzy Sets and Systems 6, 235-248, 1981
5. J.S. Kim and K.S Whang, A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function, European Journal of Operational Research 107, 614-624, 1998.
6. C.C Lin, A weighted min-max model for fuzzy goal programming, Fuzzy Sets and Systems 142,407-420, 2004.
7. D.C. Montgomery, Design and analysis of experiments, Third Edition, ASQC Quality Press, Wiley, 1997
8. M.M. Özkan, Fuzzy goal programming, Hünkar Pres, 2003
9. P.A. Rubin, and R. Narasimhan, Fuzyy goal programming with nested priorities, Fuzzy Sets and Systems 14, 115-129, 1984
10. H. Sahai and M.I. Agel, The analysis of variance: Fixed, random and mixed models, Printed in the States of America, 2000.
11. G.W. Snedecor and W.G. Cochran, Statistical methods, Iowa State University Pres/AMES, 1989.
12. K. Şanlı, and A. Apaydın, Mathematical programming for estimation of parameters in random blocks model, G.U. Journal of Science 19, 41-48, 2006.
13. R.N. Tiwari, S. Dharmar and J.R. Rao, Priority structure in fuzzy goal programming, Fuzzy Sets and System 19, 251-259, 1986.
14. M.A. Yaghoobi and M. Tamiz, A note on article A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function, European Journal of Operational Research 176, 636-640, 2007.
15. H.F. Whang and C.C. Fu, A generalization of fuzzy goal programming with preemptive structure, Computers Ops. Res. 24, 819-828, 1997.
16. http://www.econ.surrey.ac.uk/people/rpierse/files/cop5.pdf
17. http://en.wikipedia.org/wiki/Goal_Programming

APA	ŞANLI KULA K, APAYDIN A (2011). Estimation of the randomized complete block design parameters with fuzzy goal programming. , 721 - 727.
Chicago	ŞANLI KULA KAMİLE,APAYDIN Ayşen Estimation of the randomized complete block design parameters with fuzzy goal programming. (2011): 721 - 727.
MLA	ŞANLI KULA KAMİLE,APAYDIN Ayşen Estimation of the randomized complete block design parameters with fuzzy goal programming. , 2011, ss.721 - 727.
AMA	ŞANLI KULA K,APAYDIN A Estimation of the randomized complete block design parameters with fuzzy goal programming. . 2011; 721 - 727.
Vancouver	ŞANLI KULA K,APAYDIN A Estimation of the randomized complete block design parameters with fuzzy goal programming. . 2011; 721 - 727.
IEEE	ŞANLI KULA K,APAYDIN A "Estimation of the randomized complete block design parameters with fuzzy goal programming." , ss.721 - 727, 2011.
ISNAD	ŞANLI KULA, KAMİLE - APAYDIN, Ayşen. "Estimation of the randomized complete block design parameters with fuzzy goal programming". (2011), 721-727.

APA	ŞANLI KULA K, APAYDIN A (2011). Estimation of the randomized complete block design parameters with fuzzy goal programming. Mathematical and Computational Applications, 16(3), 721 - 727.
Chicago	ŞANLI KULA KAMİLE,APAYDIN Ayşen Estimation of the randomized complete block design parameters with fuzzy goal programming. Mathematical and Computational Applications 16, no.3 (2011): 721 - 727.
MLA	ŞANLI KULA KAMİLE,APAYDIN Ayşen Estimation of the randomized complete block design parameters with fuzzy goal programming. Mathematical and Computational Applications, vol.16, no.3, 2011, ss.721 - 727.
AMA	ŞANLI KULA K,APAYDIN A Estimation of the randomized complete block design parameters with fuzzy goal programming. Mathematical and Computational Applications. 2011; 16(3): 721 - 727.
Vancouver	ŞANLI KULA K,APAYDIN A Estimation of the randomized complete block design parameters with fuzzy goal programming. Mathematical and Computational Applications. 2011; 16(3): 721 - 727.
IEEE	ŞANLI KULA K,APAYDIN A "Estimation of the randomized complete block design parameters with fuzzy goal programming." Mathematical and Computational Applications, 16, ss.721 - 727, 2011.
ISNAD	ŞANLI KULA, KAMİLE - APAYDIN, Ayşen. "Estimation of the randomized complete block design parameters with fuzzy goal programming". Mathematical and Computational Applications 16/3 (2011), 721-727.