International Journal of Nonlinear Analysis and Applications

Idea about using ordinary least square by centroid methods for fuzzy pure spatial autoregressive model

Document Type : Research Paper

Authors

1 Department statistics, College Administration and Economics, University of Kirkuk, Kirkuk, Iraq

2 Department Mathematics, College Computer Sciences and Mathematics, University of Mosul, Iraq

Abstract

Introduce some ideas about applied of spatial regression models for independent and dependent fuzzy variables. while the parameters crisp values, which are estimated by the ordinary least squares method. This paper has been formulated fuzzy Pure Spatial Autoregressive Model (FPSAM) from a fuzzy general spatial model, and applied for trapezoidal fuzzy number in the domain traffic accidents for a number of cities in Iraq for the year 2018 and that after converting the Trapezoidal fuzzy number into crisp values by centroid method, calculations the results by Matlab language. 

Keywords

[1] A.S. Ahmar and M.K. Aidid, Crime Modeling using Spatial Regression Approach, J. Phys.: Conf. Ser. 954 (2018),
no. 1, 012013.[2] Q.N.N. Al-Kazaz and H.J.K. Al-Saadi, Comparing bayes estimation with maximum likelihood estimation of generalized inverted exponential distribution in case of fuzzy data, J. Econ. Admin. Sci. 23 (2017), no. 101.
[3] G. Arbia, A primer for spatial econometrics with applications in R, Springer, 2014.
[4] B.O. Dalia and F.T. Amer, Estimating parameters of some spatial regression models with experimental and applied
study, Department of Statistics, College of Administration and Economics, University of Kirkuk, 2020.
[5] M.M. Fischer and J. Wang, Spatial data analysis: models, methods and techniques, Springer Science & Business
Media, 2011.
[6] M.E. Hassan and A.T. Heba, Fuzzy regression analysis, Iraqi J. Statist. Sci. 10 (2006), 61–84.
[7] C. Kao and C.L. Chyu, A fuzzy linear regression model with better explanatory power, Fuzzy Sets Syst. 126
(2002), no. 3, 401–409
[8] K.H. Lee, First course on fuzzy theory and applications, Springer Science & Business Media, 2004.
[9] T.J. Ross, Fuzzy logic with engineering applications, John Wiley & Sons, 2005.
[10] S.Q. Hadi and O.A.M. Ali, Estimating spatial regression models for poverty rates in the districts of Iraq for the
year 2012, Master’s Thesis in Statistics, College of Administration and Economics, University of Baghdad, 2014
[11] E. Tony Smith, Spatial data analysis, School of Engineering and Applied Science, University of Pennsylvania,
2015.
[12] Y.J. Wang and H.S. Lee, The revised method of ranking fuzzy numbers with an area between the centroid and
original points, Comput. Math. Appl. 55 (2008), no. 9, 2033-2042
[13] Y.M. Wang, J.B. Yang, D.L. Xu and K.S. Chin, On the centroids of fuzzy numbers, Fuzzy Sets Syst. 157 (2006),
no. 7, 919–926.
[14] A. Zhang, Statistical analysis of fuzzy linear regression model based on centroid method, Appl. Math. 7 (2016),
no. 7, 579.
International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 1367-1375
  • Receive Date: 01 December 2021
  • Revise Date: 17 January 2022
  • Accept Date: 01 February 2022