High-Order Fuzzy Time Series Model Based on Generalized Fuzzy Logical Relationship

Abstract

In view of techniques for constructing high-order fuzzy time series models, there are three methods which are based on advanced algorithms, computational methods, and grouping the fuzzy logical relationships, respectively. The last kind model has been widely applied and researched for the reason that it is easy to be understood by the decision makers. To improve the fuzzy time series forecasting model, this paper presents a novel high-order fuzzy time series models denoted asGTS(M,N)on the basis of generalized fuzzy logical relationships. Firstly, the paper introduces some concepts of the generalized fuzzy logical relationship and an operation for combining the generalized relationships. Then, the proposed model is implemented in forecasting enrollments of the University of Alabama. As an example of in-depth research, the proposed approach is also applied to forecast the close price of Shanghai Stock Exchange Composite Index. Finally, the effects of the number of orders and hierarchies of fuzzy logical relationships on the forecasting results are discussed.

Fuzzy Time Series Forecasting Model Based on Automatic Clustering Techniques and Generalized Fuzzy Logical Relationship

“…In view of making our exposition selfcontained, this section provides some definitions and the framework of fuzzy time series models. Followed with some related definitions of fuzzy time series, framework of fuzzy time series model [16,[32][33][34] is summarized in the second part of this section. At the end of this section, the definition and an operation for generalized fuzzy logical relationship are also presented to prepare for the proposed model in the next section.…”

Simulation of Territorial Development Based on Fiscal Policy Tools

“…The economic space proportions were studied with the help of the cluster analysis methods [8,9,16]. Classification consists of the decomposition of an initial set of regional points to make a comparison of a small number of classes = { 1 , 2 , .…”

“…In modern scientific and economic publications, approaches to the simulation of the regional policy are considered [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In such publications [1,2] it is considered that such simulation methods of the budget regulation mechanisms are at different hierarchical levels, as well as econometric methods and panel data.…”

“…The research is presented in [3,4] and considers some of the questions using the space-lagged models for testing an available overflow effect and the possibility of costs decreasing, which are linked with a stimulation of regional development. In publications [5][6][7][8][9][10], some of the fundamentals of the socioeconomic system dynamic models and the simulation models of the region are considered. Publications [11][12][13] consider questions of optimization method development for regional development strategies and analysis of the interregional economic collaboration based on a complex (or a set) of optimization interregional and interbranch models.…”