| New Definition and Properties of Fuzzy Entropy |
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| 作者姓名： | 卿铭 秦应兵 |
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| 作者单位： | Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China |
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| 基金项目： | The National Natural Science Founda- tion of China （ No. 60474022 ） and the Fundamental Science Foundation of Southwest Jiaotong University （ No. 2004B08 ） |
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| 摘 要： | Let X = （x1 ,x2 ,…… ,xn ） and F（X） be a fuzzy set on a universal set X. A new def＇mition of fuzzy entropy about a fuzzy set A on F（X）, e^＊＇ , is defined based on the order relation ＂≤＂ on 0,1/2 ]^n. It is proved that e^＊ is a σ-entropy under an additional requirement. Besides, some entropy formulas are presented and related properties are discussed.
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| 关 键 词： | 模糊熵 σ-熵 模糊集 附加需求 |
| 文章编号： | 1005-2429（2006）04-0404-04 |
| 收稿时间： | 2006-03-17 |
New Definition and Properties of Fuzzy Entropy |
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| Qing Ming,Qin Yingbing.New Definition and Properties of Fuzzy Entropy[J].Journal of Southwest Jiaotong University,2006,14(4):404-407. |
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| Authors: | Qing Ming Qin Yingbing |
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| Abstract: | Let X = (x1,x2 ,…,xn ) and F(X) be a fuzzy set on a universal set X. A new definition of fuzzy entropy about a fuzzy set A on F(X), e*, is defined based on the order relation "≤" on 0,1/2] n. It is proved that e* is a σ-entropy under an additional requirement. Besides, some entropy formulas are presented and related properties are discussed. |
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| Keywords: | Fuzzy entropy Fuzzy set |
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