- 期刊
Applying Symmetric Triangular Approximations to Fuzzy Linear Regression Analysis
並列摘要
In this paper, we study the problem of least-squares multiple regression with fuzzy data, that is to find a symmetry triangular fuzzy number Ã0 and real numbers β1,...,β(subscript m) that minimize observation error d^2 (Y, Ã0 ⊕ β1 ⊙ X1 ⊕ ... ⊕ β(subscript m) X(subscript m)), where X(subscript i) and Y are fuzzy data. By applying symmetric triangular approximations of fuzzy numbers, a new method for determining Ã0 and β1,...,β(subscript m) is proposed.
延伸閱讀
- Yao, J. S., Su, J. S., & Shih, T. S. (2008). Fuzzy System Reliability Analysis Using Triangular Fuzzy Numbers Based on Statistical Data. Journal of Information Science and Engineering, 24(5), 1521-1535. https://doi.org/10.6688/JISE.2008.24.5.15
- Srinivasan, A., & Geetharamani, G. (2016). Linear Programming Problem with Interval Type 2 Fuzzy Coefficients and an Interpretation for Its Constraints. Journal of Applied Mathematics, 2016(), 379-389. https://doi.org/10.1155/2016/8496812
- Shi, H. N., & Zhang, J. (2013). A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications. Journal of Applied Mathematics, 2013(), 723-727-577. https://doi.org/10.1155/2013/674567
- Chen, C. H., & Chou, C. Y. (2003). Applying Quality Loss Function in the Design of Economic Specification Limits for Triangular Distribution. Asia Pacific Management Review, 8(1), 1-12. https://doi.org/10.6126/APMR.2003.8.1.01
- Rabiei, M. R., Taheri, S. M., & Arghami, N. R. (2015). A Linear-Programming Approach to Interval-Valued Fuzzy Regression Analysis. International Journal of Intelligent Technologies and Applied Statistics, 8(3), 171-203. https://doi.org/10.6148/IJITAS.2015.0803.01