Title: Applications of axiomatic fuzzy sets theory on fuzzy time series forecasting
Authors: Angelo Dan Menga Ebonzo; Xiaodong Liu
Addresses: Transportation Management College, Dalian Maritime University, No. 1 Lingnanzhong Road, High-tech Zone, Dalian, 116026, China. ' Department of Mathematics, Dalian Maritime University, Dalian 116026, China
Abstract: A number of methods have been proposed for forecasting based on fuzzy time series. Most of fuzzy time series are presented for forecasting enrolments. In this paper, we propose an innovate fuzzy time series forecasting model using axiomatic fuzzy set (AFS) theory. The advantages of using AFS theory in this approach are multiple: fuzzy sets with more than one maximum value are obtained, this affects considerably the forecasting accuracy; values of membership degrees are directly obtained from the data. Compared with existing methods, the experimental study shows that the proposed method can get best forecasting accuracy rate over methods described in the literature.
Keywords: fuzzy time series; enrolments; time series forecasting; fuzzy set theory; linguistic variable; fuzzy logic relationships; FLRs; axiomatic fuzzy sets; fuzzy forecasting; forecasting accuracy.
DOI: 10.1504/IJSCC.2012.050824
International Journal of Systems, Control and Communications, 2012 Vol.4 No.4, pp.280 - 295
Received: 09 Feb 2012
Accepted: 14 Jun 2012
Published online: 23 Aug 2014 *