Constraint conditions and new constructional method of Vague entropy

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (18): 27-31.

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Constraint conditions and new constructional method of Vague entropy

GAO Mingmei1，2, SUN Tao1

1.College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2.College of Mathematics, Qingdao University, Qingdao, Shandong 266071, China

Online:2012-06-21 Published:2012-06-20

Vague熵的约束条件和新模糊熵的构造

高明美1，2，孙涛1

1.南京航空航天大学经济与管理学院，南京 211106
2.青岛大学数学科学学院，山东青岛 266071

Abstract

Abstract: The Vague entropy should include the unknown and the uncertainty. This paper draws analysis among deficiencies of the present constraint conditions and constructional method of Vague entropy, provides improved constraint conditions and corresponding new axiom definition taking really into account two factors; a new constructional method is presented. By proceed theorem and analyzed example, it shows that this new Vague entropy has some good mathematics properties and the calculated results are more efficient and rational.

Key words: Vague sets, fuzzy entropy, unknown, uncertainty

摘要： Vague集合的模糊熵既应包含Vague集的未知性又含有本身的不确定性。分析了现有Vague熵约束条件和构造方法上存在的缺陷，提出改进的Vague熵约束条件和Vague熵的公理化定义，给出一种新的Vague熵的构造方法，通过算例比较，指出这种新的模糊熵更加合理，更符合人们的直觉。

关键词: Vague集, 模糊熵, 未知性, 不确定性

GAO Mingmei1，2, SUN Tao1. Constraint conditions and new constructional method of Vague entropy[J]. Computer Engineering and Applications, 2012, 48(18): 27-31.

高明美1，2，孙涛1. Vague熵的约束条件和新模糊熵的构造[J]. 计算机工程与应用, 2012, 48(18): 27-31.

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Constraint conditions and new constructional method of Vague entropy

Vague熵的约束条件和新模糊熵的构造

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