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

fYear

2013

fDate

24-28 June 2013

Firstpage

1451

Lastpage

1454

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;

fLanguage

English

Publisher

ieee

Conference_Titel

IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint

Conference_Location

Edmonton, AB

Type

conf

DOI

10.1109/IFSA-NAFIPS.2013.6608615

Filename

6608615