| 直觉模糊熵约束条件的改进及新模糊熵构造 |
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| 引用本文： | 赵飞,王青山,郝万亮.直觉模糊熵约束条件的改进及新模糊熵构造[J].计算机应用,2015,35(12):3461-3464. |
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| 作者姓名： | 赵飞 王青山 郝万亮 |
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| 作者单位： | 1. 信息工程大学地理空间信息学院, 郑州 450001;2. 95900部队, 河南开封 475003;3. 信息工程大学导航与空天目标工程学院, 郑州 450001;4 |
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| 摘 要： | 为解决直觉模糊熵的定义和度量不合理问题,提出了一种直觉模糊熵的公理化定义并构造了新的度量方法。首先分析了现有直觉模糊熵的公理化定义中存在的差异并指出其缺陷和不足;接着提出了一种改进的直觉模糊熵的公理化定义,并构造了新的直觉模糊熵的计算公式;最后,通过实例,将新公式与现有直觉模糊熵公式进行了比较对比。算例分析表明,所提出的熵公式能够反映直觉模糊集的不确定性和模糊性,并且对直觉模糊集不确定性的区分能力更强。
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| 关 键 词： | 直觉模糊集 直觉模糊熵 隶属度 不确定性 |
| 收稿时间： | 2015-05-18 |
| 修稿时间： | 2015-07-24 |
Improvement of constraint conditions and new constructional method for intuitionistic fuzzy entropy |
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| ZHAO Fei,WANG Qingshan,HAO Wanliang.Improvement of constraint conditions and new constructional method for intuitionistic fuzzy entropy[J].journal of Computer Applications,2015,35(12):3461-3464. |
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| Authors: | ZHAO Fei WANG Qingshan HAO Wanliang |
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| Affiliation: | 1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou Henan 450001, China;2. Unit 95900, Kaifeng Henan 475003, China;3. College of Navigation and Aerospace Engineering, Information Engineering University, Zhengzhou Henan 450001, China;4. Unit 71687, Xinxiang Henan 453000, China |
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| Abstract: | To resolve the irrationality in the definition and measurement of intuitionistic fuzzy entropy, a new axiomatic definition for intuitionistic fuzzy entropy was proposed, and a new measuring formula was structured. Firstly, the existing differences in research of axiomatic definition for intuitionistic fuzzy entropy were analyzed, its defects and insufficiency were also pointed out. Secondly, an improved axiomatic definition for intuitionistic fuzzy entropy and a calculation formula of intuitionistic fuzzy entropy were proposed. Finally, the new formula was compared with the existing formulas for intuitionistic fuzzy entropy by examples. The results of the example analysis show that, the proposed entropy formula can reflect better the uncertainty and fuzziness of intuitionistic fuzzy sets, and the capability to discriminate the uncertainty of intuitionistic fuzzy sets is stronger. |
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| Keywords: | intuitionistic fuzzy set intuitionistic fuzzy entropy membership degree uncertainty |
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