Vague相似度量与Vague熵  

Similarity Measures and Entropy for Vague Sets

作　　者：李艳红[1] 迟忠先[1] 阎德勤[2] 

机构地区：[1]大连理工大学计算机科学与工程系 [2]辽宁师范大学计算机系,大连116024

出　　处：《计算机科学》2002年第12期129-132,共4页Computer Science

摘　　要：The paper draws comparison and analysis among present similarity measure methods in the case of similari-ty measures between Vague values, provides a new similarity measure method, of which discusses on the normalcharacteristics, gives some relative character theorems. At the same time, it analyzes the application of fuzzy similari-ty measures in vague similarity measures and gives its normal forms such as similarity measures between Vague sets,between elements and their weighted similarity measures. Finally, vague entropy rule respectively aiming at twokinds of cases is approached and its corresponding vague entropy expressions is provided. The content of this paper isof practical significance in such fields as fuzzy decision-making, vague clustering, pattern recognition, data miningetc.The paper draws comparison and analysis among present similarity measure methods in the case of similarity measures between Vague values, provides a new similarity measure method, of which discusses on the normal characteristics, gives some relative character theorems. At the same time, it analyzes the application of fuzzy similarity measures in vague similarity measures and gives its normal forms such as similarity measures between Vague sets, between elements and their weighted similarity measures. Finally, vague entropy rule respectively aiming at two kinds of cases is approached and its corresponding vague entropy expressions is provided. The content of this paper is of practical significance in such fields as fuzzy decision-making, vague clustering, pattern recognition, data mining etc.

关 键 词：模糊集 VAGUE集 相似度量 Vague熵 

分 类 号：O159[理学—数学]