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| 一种改进的直觉模糊熵公理化定义和构造公式 | |
| 引用本文： | 高明美,孙涛,朱建军.一种改进的直觉模糊熵公理化定义和构造公式[J].控制与决策,2014,29(3):470-474. |
| 作者姓名： | 高明美 孙涛 朱建军 |
| 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 |
| 基金项目： | 国家自然科学基金项目(71171112, 71171120, 71273148)；教育部人文社科基金项目(11YJA790133)；江苏省高校哲学社科基金重点项目(11ZDIXM051)；江苏省高校研究生培养创新基金项目(CXLX12 0178). |
| 摘 要： | 针对现有的直觉模糊熵的公理化定义和构造公式未能全面体现直觉模糊集模糊性的缺陷进行分析, 提出一种改进的直觉模糊熵的公理化定义, 据此构造一个新的直觉模糊熵的计算公式, 并将该公式与现有直觉模糊熵公式进行比较. 算例分析表明, 所提出的熵公式能够更充分地反映直觉模糊集的不确定性和未知性程度. |
| 关 键 词： | 直觉模糊集|直觉模糊熵|隶属度|非隶属度|未知度 |
| 收稿时间： | 2012/10/18 0:00:00 |
| 修稿时间： | 2013/2/2 0:00:00 |
Revised axiomatic definition and structural formula of intuitionistic fuzzy entropy |
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| GAO Ming-mei SUN Tao ZHU Jian-jun.Revised axiomatic definition and structural formula of intuitionistic fuzzy entropy[J].Control and Decision,2014,29(3):470-474. | |
| Authors: | GAO Ming-mei SUN Tao ZHU Jian-jun |
| Abstract: | In view of the axiomatic definitions and the structure formulas of intuitionistic fuzzy sets, the defects of current researches which failed to fully reflect the fuzziness of intuitionistic fuzzy sets are introduced detailed respectively. An revised axiomatic definition of intuitionistic entropy is presented and a corresponding formula is structured. Then the intuitionistic fuzzy entropy formulas proposed by former references are discussed and compared with the proposed formula. Example analysis indicates that the proposed entropy measure can fully demonstrate the fuzziness and intuitionism of intuitionistic fuzzy sets. |
| Keywords: | intuitionistic fuzzy set|intuitionistic fuzzy entropy|membership degree|non-membership degree|unknown degree |
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