几类度量聚合函数的研究  

Study on several types of metric aggregation functions

作　　者：孙利军 赵晨[1] 李钢 SUN Lijun;ZHAO Chen;LI Gang(Faculty of Mathematics and Artificial Intelligence,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)

机构地区：[1]齐鲁工业大学(山东省科学院)数学与人工智能学部,山东济南250353

出　　处：《齐鲁工业大学学报》2023年第5期60-66,共7页Journal of Qilu University of Technology

基　　金：国家自然科学基金(61977040)。

摘　　要：广义度量在分类、识别、图像处理等人工智能领域有着广泛的应用。聚焦于广义度量的聚合问题,分别讨论了广义度量的3种特殊情形:度量、伪度量、拟度量聚合(保留)函数的刻画及彼此间的联系,最后通过例子及结构图进行解释说明和直观呈现。Generalized metrics are widely used in artificial intelligence fields such as classification,recognition,image processing,etc.This paper focuses on the aggregation of generalized metrics,and discusses three special cases of generalized metrics:the characterization of metric,pseudo-metric,quasi-metric aggregation(preserving)function,and the relationship between them.Finally,it is explained and presented intuitively through examples and structure diagrams.

关 键 词：度量 拟度量 伪度量 度量聚合函数 次可加 顺从性 

分 类 号：O159[理学—数学]