Linguistic Summaries of Time Series via an OWA Operator Based Aggregation of Partial Trends

J. Kacprzyk, A. Wilbik, S. Zadrożny
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引用次数: 30

Abstract

We extend our approach to the linguistic summarization of (numerical) time series. The main issue boils down to the identification of trends in time series that are characterized by a set of attributes followed by their appropriate aggregation. We propose to use the OWA (ordered weighted averaging) operators for the aggregation of partial trends as an alternative to the use of the classic Zadeh's calculus of linguistically quantified propositions, the Sugeno integral and the Choquet integral. The use of the OWA operators provides a convenient unified aggregation means that can be used to derive diverse types of summaries. The results obtained confirm a high human consistency of linguistic summaries derived.
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基于OWA算子的部分趋势聚合的时间序列语言摘要
我们将我们的方法扩展到(数值)时间序列的语言总结。主要问题归结为确定时间序列中的趋势,这些趋势的特征是一组属性,然后是它们的适当聚合。我们建议使用OWA(有序加权平均)算子进行部分趋势的聚合,作为使用经典的Zadeh语言量化命题演算、Sugeno积分和Choquet积分的替代方法。OWA操作符的使用提供了方便的统一聚合方式,可用于派生不同类型的摘要。获得的结果证实了语言摘要的高度一致性。
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