基于海明距离的直觉模糊粗糙集相似度量方法  

SIMILARITY MEASURES OF INTUITION FUZZY ROUGH SETS BASED ON THE HAMMING DISTANCE

作　　者：殷宏燕[1] 雷英杰[1] 雷阳[1] 

机构地区：[1]空军工程大学导弹学院,陕西三原713800

出　　处：《计算机应用与软件》2008年第12期15-16,75,共3页Computer Applications and Software

基　　金：国家自然科学基金项目(60773209);陕西省自然科学基金项目(2006F18)

摘　　要：针对直觉模糊粗糙集的相似度量问题,提出了一种基于海明距离的直觉模糊粗糙集相似度量方法。首先给出了两个直觉模糊粗糙值间的相似度量方法,并揭示了它的若干重要性质。然后,在此基础上,又提出了一种基于海明距离的直觉模糊粗糙集相似度量方法,并证明它也具有同样的性质。最后用数值算例验证了这种方法的有效性。A similarity measure method based on the Hamming distance is proposed to solve the problem of the similarity measures of intuition fuzzy rough sets. Firstly, a similarity measure method for measuring the degree of similarity between two intuition fuzzy rough elements is given, and some of its important characters were revealed. Secondly, based on it, a similarity measure method of intuition fuzzy rough sets based on the Hamming distance is proposed, and has proved this method to have same characters. Finally, the method is verified its validity by a numerical computation example.

关 键 词：直觉模糊粗糙集 直觉模糊粗糙值 相似度量 

分 类 号：O159[理学—数学] F830.91[理学—基础数学]