A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS

Cagdas H. Aladag; Erol Egrioglu; Ufuk Yolcu

Research Article

A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS

Year 2012, Volume: 41 Issue: 3, 361 - 364, 01.03.2012

Cagdas H. Aladag Erol Egrioglu Ufuk Yolcu

Abstract

Fuzzy set theory has been widely used in various fields of statistics in recent years. The correlation between fuzzy random variables can be measured by a fuzzy correlation coefficient. When the correlation of the fuzzy random variables has being calculated, mathematical programming and fuzzy arithmetic operations have been used in the literature. In this study, to calculate the fuzzy correlation coefficient, a new approach based on simulation is proposed. It is not necessary to employ mathematical programming or fuzzy arithmetic operations when the proposed method is used. The proposed approach is applied to fats and oils data to show the applicability of the method.

Keywords

Fuzzy number, Correlation, Fuzzy Correlation, 2000 AMS Classification: 62–04

References

Buckley, J. J. Fuzzy Statistics, Chapter 4 (Springer-Verlag, New York, 2004)
Bustince, H. and Burillo, P. Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 74, 237–244, 1995.
Chiang, D. A. and Lin, N. P. Correlation of fuzzy sets, Fuzzy Sets and Systems 102, 221–226, 1999.
Gerstenkorn, T. and Manko, J. Correlation of intuitionistic fuzzy sets, Fuzzy Sets and Sys- tems 44, 39–43, 1991.
Hong, D. H. and Hwang, S. Y. Correlation of intuitionistic fuzzy sets in probability space, Fuzzy Sets and Systems 75, 77–81, 1995.
Hong, D. H. Fuzzy measures for a correlation coefficient of fuzzy numbers under Tw(the weakest t-norm)-based fuzzy arithmetic operations, Information Science 176, 150–160, 2006.
Liu, S. T. and Kao, C. Fuzzy measures for correlation coefficient of fuzzy numbers, Fuzzy Sets and Systems 128, 267–275, 2002.
Yu, C. Correlation of fuzzy numbers, Fuzzy Sets and Systems 55, 303–307, 1995.
Zadeh, L. A. Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1, 3–28, 1978.

A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS

Year 2012, Volume: 41 Issue: 3, 361 - 364, 01.03.2012

Cagdas H. Aladag Erol Egrioglu Ufuk Yolcu

Abstract

References

Buckley, J. J. Fuzzy Statistics, Chapter 4 (Springer-Verlag, New York, 2004)
Bustince, H. and Burillo, P. Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 74, 237–244, 1995.
Chiang, D. A. and Lin, N. P. Correlation of fuzzy sets, Fuzzy Sets and Systems 102, 221–226, 1999.
Gerstenkorn, T. and Manko, J. Correlation of intuitionistic fuzzy sets, Fuzzy Sets and Sys- tems 44, 39–43, 1991.
Hong, D. H. and Hwang, S. Y. Correlation of intuitionistic fuzzy sets in probability space, Fuzzy Sets and Systems 75, 77–81, 1995.
Hong, D. H. Fuzzy measures for a correlation coefficient of fuzzy numbers under Tw(the weakest t-norm)-based fuzzy arithmetic operations, Information Science 176, 150–160, 2006.
Liu, S. T. and Kao, C. Fuzzy measures for correlation coefficient of fuzzy numbers, Fuzzy Sets and Systems 128, 267–275, 2002.
Yu, C. Correlation of fuzzy numbers, Fuzzy Sets and Systems 55, 303–307, 1995.
Zadeh, L. A. Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1, 3–28, 1978.

There are 9 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Mathematics
Authors	Cagdas H. Aladag This is me Erol Egrioglu This is me Ufuk Yolcu This is me
Publication Date	March 1, 2012
Published in Issue	Year 2012 Volume: 41 Issue: 3

Cite

APA	Aladag, C. H., Egrioglu, E., & Yolcu, U. (2012). A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS. Hacettepe Journal of Mathematics and Statistics, 41(3), 361-364.
AMA	Aladag CH, Egrioglu E, Yolcu U. A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS. Hacettepe Journal of Mathematics and Statistics. March 2012;41(3):361-364.
Chicago	Aladag, Cagdas H., Erol Egrioglu, and Ufuk Yolcu. “A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS”. Hacettepe Journal of Mathematics and Statistics 41, no. 3 (March 2012): 361-64.
EndNote	Aladag CH, Egrioglu E, Yolcu U (March 1, 2012) A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS. Hacettepe Journal of Mathematics and Statistics 41 3 361–364.
IEEE	C. H. Aladag, E. Egrioglu, and U. Yolcu, “A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 3, pp. 361–364, 2012.
ISNAD	Aladag, Cagdas H. et al. “A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS”. Hacettepe Journal of Mathematics and Statistics 41/3 (March 2012), 361-364.
JAMA	Aladag CH, Egrioglu E, Yolcu U. A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS. Hacettepe Journal of Mathematics and Statistics. 2012;41:361–364.
MLA	Aladag, Cagdas H. et al. “A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 3, 2012, pp. 361-4.
Vancouver	Aladag CH, Egrioglu E, Yolcu U. A SIMULATION BASED APPROACH TO CALCULATE THE FUZZY CORRELATION COEFFICIENT OF FUZZY OBSERVATIONS. Hacettepe Journal of Mathematics and Statistics. 2012;41(3):361-4.