Mutual induced relations between fuzzy entropy and distance measure of Vague sets

doi:10.3778/j.issn.1002-8331.2010.07.006

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (7): 18-20.DOI: 10.3778/j.issn.1002-8331.2010.07.006

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Mutual induced relations between fuzzy entropy and distance measure of Vague sets

WANG Chang^1，2

1.Center for the History of Mathematics and Science，Northwest University，Xi’an 710127，China
2.Department of Mathematics，Northwest University，Xi’an 710127，China

Received:2009-11-24 Revised:2010-01-11 Online:2010-03-01 Published:2010-03-01
Contact: WANG Chang

Vague集的模糊熵和距离测度的相互诱导关系

王昌^1，2

1.西北大学数学与科学史研究中心，西安 710127
2.西北大学数学系，西安 710127

通讯作者: 王昌

Abstract

Abstract: Since Vague sets was proposed，it has gained great attention from researchers for its applications in various fields，fuzzy entropy and distance measure are the most important technologies in Vague sets.Nowadays，several formula of fuzzy entropy and distance measure in Vague sets have been proposed，but all of these researches do not discuss the relations between them.Based on the axiom definition of fuzzy entropy and distance measure of Vague sets，mutual induced relations between fuzzy entropy and distance measure are given，and the relations between them are established.

Key words: Vague sets, fuzzy entropy, distance measure, fuzzy sets

摘要： Vague集自提出以来，由于它在各个领域中的广泛应用而引起众多学者的注意，而模糊熵和距离测度是其中的关键技术。目前已有多种Vague集的模糊熵和距离测度的计算方法被提出来，但所有这些研究都没有讨论两者之间的联系。论文基于Vague集的模糊熵和距离测度的公理化定义，给出两者之间的相互诱导关系，建立了模糊熵和距离测度之间的联系。

关键词: Vague集, 模糊熵, 距离测度, Fuzzy集

CLC Number:

O159

TP18

WANG Chang^1，2. Mutual induced relations between fuzzy entropy and distance measure of Vague sets[J]. Computer Engineering and Applications, 2010, 46(7): 18-20.

王昌^1，2. Vague集的模糊熵和距离测度的相互诱导关系[J]. 计算机工程与应用, 2010, 46(7): 18-20.

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Mutual induced relations between fuzzy entropy and distance measure of Vague sets

Vague集的模糊熵和距离测度的相互诱导关系

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