| Vague熵的约束条件和新模糊熵的构造 |
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| 引用本文： | 高明美,孙涛.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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| 作者姓名： | 高明美 孙涛 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金，教育部人文社会科学基金规划项目，江苏省高校哲学社会科学基金重点项目 |
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| 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。
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| 关 键 词： | Vague集 模糊熵 未知性 不确定性 |
Constraint conditions and new constructional method of Vague entropy |
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| GAO Mingmei
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SUN Tao.Constraint conditions and new constructional method of Vague entropy[J].Computer Engineering and Applications,2012,48(18):27-31. |
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| Authors: | GAO Mingmei SUN Tao |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | Vague sets fuzzy entropy unknown uncertainty |
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