关键词: 灰色系统理论, 角度化, 灰色T型关联度, 时间序列

Abstract: The purpose of this paper is to develop a novel model called Angle Grey T’s Relational Degree based on the current grey relational model and algorithm, this model can enrich the theory of Grey Relational Analysis, and it can also be used to make predictions, make classifications and make decisions and so on. Employed the method of Piecewise Linear Representation (PLR), a time series can be approximately expressed as the form of angle series between adjacent line segments, and then the calculation methods of grey relational coefficient and degree are presented based on other studies in this paper. Angle Grey T’s Relational Degree model not only can show the correlation of positive or negative of different time series, but it has some characteristics including symmetry, uniqueness and comparability and so on. Finally, the validity of this novel model was to be proved through a case study.

Key words: grey system theory, angle, grey t’s relational degree, time series