| 一个基于三角函数的直觉模糊熵公式 |
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| 引用本文： | 魏翠萍 高自海 郭婷婷. 一个基于三角函数的直觉模糊熵公式[J]. 控制与决策, 2012, 27(4): 571-574 |
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| 作者姓名： | 魏翠萍 高自海 郭婷婷 |
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| 作者单位： | 曲阜师范大学管理学院 |
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| 基金项目： | 国家自然科学基金项目(71171187,11071142);教育部人文社会科学研究青年基金项目(10YJC630269);山东省高等学校科技计划项目(J09LA14) |
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| 摘 要： | 利用三角函数定义了一个直觉模糊熵公式,该公式不仅考虑了直觉模糊集的隶属度与非隶属度的偏差,而且考虑了直觉模糊集的犹豫度.对以往文献给出的两个直觉模糊熵公式进行了讨论,并将所提出的公式与这两个公式进行了比较.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未知性程度.
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| 关 键 词： | 直觉模糊集 直觉模糊熵 犹豫度 |
| 收稿时间： | 2010-10-26 |
| 修稿时间： | 2010-12-14 |
An intuitionistic fuzzy entropy measure based on thetrigonometric function |
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| WEI Cui-ping GAO Zhi-hai GUO Ting-ting. An intuitionistic fuzzy entropy measure based on thetrigonometric function[J]. Control and Decision, 2012, 27(4): 571-574 |
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| Authors: | WEI Cui-ping GAO Zhi-hai GUO Ting-ting |
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| Affiliation: | (Management College,Qufu Normal University,Rizhao 276826,China.) |
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| Abstract: | Based on a trigonometric function,an effective entropy measure for intuitionistic fuzzy sets is proposed.The entropy measure reflects not only the difference between the membership degree and the nonmembership degree,but also the hesitancy degree.Then two intuitionistic fuzzy entropy formulas proposed by former references are discussed and compared with the proposed formula.Numerical examples are given to show that the proposed entropy measure can measure the fuzziness and intuitionism of intuitionistic fuzzy sets. |
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| Keywords: | intuitionistic fuzzy set intuitionistic fuzzy entropy hesitancy degree |
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