Öz
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.
Anahtar Kelimeler
Fuzzy number Correlation Fuzzy Correlation 2000 AMS Classification: 62–04
Kaynakça
- 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.
Öz
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | İstatistik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Mart 2012 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 41 Sayı: 3 |