Design of similarity measure for discrete data and application to multi-dimension
来源期刊:中南大学学报(英文版)2013年第4期
论文作者:LEE Myeong-ho WEI He(魏荷) LEE Sang-hyuk LEE Sang-min SHIN Seung-soo
文章页码:982 - 987
Key words:similarity measure; multi-dimension; discrete data; relative degree; power interconnected system
Abstract: Similarity measure design for discrete data group was proposed. Similarity measure design for continuous membership function was also carried out. Proposed similarity measures were designed based on fuzzy number and distance measure, and were proved. To calculate the degree of similarity of discrete data, relative degree between data and total distribution was obtained. Discrete data similarity measure was completed with combination of mentioned relative degrees. Power interconnected system with multi characteristics was considered to apply discrete similarity measure. Naturally, similarity measure was extended to multi-dimensional similarity measure case, and applied to bus clustering problem.
LEE Myeong-ho1, WEI He(魏荷)2, LEE Sang-hyuk2, LEE Sang-min3, SHIN Seung-soo4
(1. Department of e-Commerce, Semyung University, 579 Shinwol-dong, Jaechon, 390-711, Korea;
2. Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou 215123, China;
3. Institute for Information and Electronics Research, Inha University, 253 Yonghyun-Dong, Nam-Gu,
Incheon, 402-751, Korea;
4. Department of Information Security, Tongmyung University, Daeyeon 3-dong, Nam-gu, Busan, 608-737, Korea)
Abstract:Similarity measure design for discrete data group was proposed. Similarity measure design for continuous membership function was also carried out. Proposed similarity measures were designed based on fuzzy number and distance measure, and were proved. To calculate the degree of similarity of discrete data, relative degree between data and total distribution was obtained. Discrete data similarity measure was completed with combination of mentioned relative degrees. Power interconnected system with multi characteristics was considered to apply discrete similarity measure. Naturally, similarity measure was extended to multi-dimensional similarity measure case, and applied to bus clustering problem.
Key words:similarity measure; multi-dimension; discrete data; relative degree; power interconnected system