New method of similarity measures for k steps between rough Vague sets（valued）

doi:10.3778/j.issn.1002-8331.2009.02.041

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (2): 140-143.DOI: 10.3778/j.issn.1002-8331.2009.02.041

• 数据库、信号与信息处理 • Previous Articles Next Articles

New method of similarity measures for k steps between rough Vague sets（valued）

ZHANG A-hong¹,WANG Zhi-he¹,DU Peng¹,WU Peng^1,2

1.College of Mathematics and Information Science，Northeast Normal University，Lanzhou 730070，China
2.School of Information Engineering，Zhejiang Forestry College，Lin’an，Zhejiang 311300，China

Received:2007-12-29 Revised:2008-03-03 Online:2009-01-11 Published:2009-01-11
Contact: ZHANG A-hong

粗糙Vague集（值）间k步相似度量新方法

张阿红¹,王治和¹,杜鹏¹,吴鹏^1,2

1.西北师范大学数学与信息科学学院，兰州 730070
2.浙江林学院信息工程学院，浙江临安 311300

通讯作者: 张阿红

Abstract

Abstract: In this paper，some concepts of rough sets，vague sets and rough Vague sets are discussed，and the method of knowledge expression is approached.The concept of rough vague-valued and similarity measures for measuring the degree of similarity between elements（rough vague-valued：RV-valued） are studied，and then a new method of similarity measures for k steps between rough Vague sets（valued） is given，its some properties are studied.Similarity measures for k steps are limited while k tends to infinity，then rough Vague sets becomes fuzzy sets.

Key words: rough sets, vague sets, rough vague sets, hesitate degrees п_v（x）, similarity measure of k steps

摘要： 对粗糙集、Vague集及粗糙Vague集的概念、知识表示方法进行了讨论，描述了粗糙Vague集的相关概念，在研究了粗糙Vague集相似性度量方法的基础上，提出了一种对踌躇度п_v（x）k步细化的k步相似度量新方法，并且研究了该方法的相关性质。进一步对k步相似度量在k趋向无穷时求极限，得出粗糙Vague集退化为模糊集的特例情况。

关键词: 粗糙集, Vague集, 粗糙Vague集, 踌躇度п_v（x）, k步相似度量

ZHANG A-hong¹,WANG Zhi-he¹,DU Peng¹,WU Peng^1,2. New method of similarity measures for k steps between rough Vague sets（valued）[J]. Computer Engineering and Applications, 2009, 45(2): 140-143.

张阿红¹,王治和¹,杜鹏¹,吴鹏^1,2. 粗糙Vague集（值）间k步相似度量新方法[J]. 计算机工程与应用, 2009, 45(2): 140-143.

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New method of similarity measures for k steps between rough Vague sets（valued）

粗糙Vague集（值）间k步相似度量新方法

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