New entropy measure on vague sets

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (24): 43-45.

• 研究、探讨 • Previous Articles Next Articles

New entropy measure on vague sets

SUN Ningning，YU Jiankun，YANG Lijun

College of Information，Yunnan University of Finance and Economics，Yunnan 650221，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-08-21 Published:2011-08-21

一种新的Vague集的熵

孙宁宁，余建坤，杨力军

云南财经大学信息学院，昆明 650221

Abstract

Abstract: Inspirited and motivated by fuzzy entropy on fuzzy sets，the axiom definition of entropy on vague sets is proposed.It proposes and establishes a new entropy measure on vague sets by considering the membership degree，nonmenbership degree and hesitancy degree three aspects of the vague sets，which is used to measure the vagueness of a vague set.Some examples are given to demonstrate its effectiveness and practicability.

Key words: vague sets, fuzzy sets, entropy theory

摘要： 受Fuzzy集模糊熵的启发，提出了Vague集熵的公理化定义。充分考虑到Vague集的真隶属度、假隶属度和犹豫度三个方面，提出了新的Vague集的熵的计算公式，用于度量一个Vague集的模糊性。以实例来说明新的公式的有效性和实用性。

关键词: Vague集, Fuzzy集, 熵理论

SUN Ningning，YU Jiankun，YANG Lijun. New entropy measure on vague sets[J]. Computer Engineering and Applications, 2011, 47(24): 43-45.

孙宁宁，余建坤，杨力军. 一种新的Vague集的熵[J]. 计算机工程与应用, 2011, 47(24): 43-45.

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New entropy measure on vague sets

一种新的Vague集的熵

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