Entropy of Vague sets about unknown and uncertainty

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (32): 59-61.

• 研究、探讨 • Previous Articles Next Articles

Entropy of Vague sets about unknown and uncertainty

YANG Yongwei，XIN Xiaolong

Department of Mathematics，Northwest University，Xi’an 710127，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-11-11 Published:2011-11-11

关于未知度和不确定度的Vague集的模糊熵

杨永伟，辛小龙

西北大学数学系，西安 710127

Abstract

Abstract: The fuzzy entropy of vague sets should be calculated taking into the unknown and uncertainty.The deficiencies of existing fuzzy entropy of vague sets are analyzed in this paper.By use of an axiom definition of the fuzzy entropy of vague sets that according with the above two properties，three kinds of formulas of the fuzzy entropy of vague sets are also presented.It is proved that these formulas of the fuzzy entropy of vague sets are much more rational by analyzing.

Key words: fuzzy entropy, Fuzzy sets, Vague sets, uncertainty, unkown

摘要： Vague集的模糊熵应体现数据的未知性和自身的不确定性。分析了现有模糊熵的一些缺陷，并应用基于未知性和自身的不确定性的新模糊熵的公理化定义，构造了三个新模糊熵计算公式，分析了新模糊熵公式的合理性。

关键词: 模糊熵, Fuzzy集, Vague集, 不确定性, 未知性

YANG Yongwei，XIN Xiaolong. Entropy of Vague sets about unknown and uncertainty[J]. Computer Engineering and Applications, 2011, 47(32): 59-61.

杨永伟，辛小龙. 关于未知度和不确定度的Vague集的模糊熵[J]. 计算机工程与应用, 2011, 47(32): 59-61.

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Entropy of Vague sets about unknown and uncertainty

关于未知度和不确定度的Vague集的模糊熵

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