Semantic extension distance in high dimension

摘要：

　　Extension distance between a point and an interval is put forward by Professor Cai in 1983.However, Cai only gives the definition of one-dimensional Extension distance.In this paper, definitions of Extension distance are extended from one dimension to hyperspace, to meet the need of practical engineering.The definitions of high-dimensional Extension distance between a point and an interval are provided.The calculation formulas of various semantic Extension distance are presented.The properties of them are discussed and proved.Properties show that the semantic Extension distance is the generalization and combination of Extension distance and semantic distance.

作者: Y.Zhang J.Wang Y.Zhao

作者单位: Mechanical Engineering School, Yanshan University, Qinhuangdao, Hebei, China

会议类型: 国际会议

会议名称: International Symposium on Extenics and Innovation Methods(可拓性与创新方法国际研讨会)

会议地点: 北京

会议语种:英文

页码: 75-79

在线出版日期: 2013-08-16（万方平台首次上网日期，不代表论文的发表时间）