Title :
Study on interval fuzzy series forecasting based on GM(1,1) model
Author :
Xiangyan Zeng ; Lan Shu
Author_Institution :
Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, interval fuzzy series forecasting based on GM (1, 1) model is studied. The grey differential equation of GM (1, 1) is improved to suite the interval fuzzy number. The development coefficient is taken as the weighted mean of the development coefficients of the left and right boundary points of the interval fuzzy number. It can indicate the integral development tendency of the interval fuzzy number series. The grey input is taken as the same type of fuzzy number as the raw fuzzy series. Then the binary and ternary interval fuzzy series forecasting are proposed respectively. The examples show the effectiveness of the proposed model.
Keywords :
fuzzy set theory; queueing theory; GM(1,1) model; binary interval fuzzy series forecasting; development coefficient; integral development tendency; interval fuzzy number; raw fuzzy series; ternary interval fuzzy series forecasting; Differential equations; Educational institutions; Forecasting; Mathematical model; Modeling; Parameter estimation; Predictive models; GM (1, 1); Integral development coefficient; Interval fuzzy series;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608615
