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| 测量粗糙集中模糊性的一种新方法 | |
| 引用本文： | 何亚群,胡寿松,魏崇辉.测量粗糙集中模糊性的一种新方法[J].南京航空航天大学学报(英文版),2004,21(1):31-35. |
| 作者姓名： | 何亚群 胡寿松 魏崇辉 |
| 作者单位： | 1. 南京航空航天大学自动化学院,南京,210016;空军后勤学院三系,徐州,221002 2. 南京航空航天大学自动化学院,南京,210016 3. 空军后勤学院三系,徐州,221002 |
| 基金项目： | 国家自然科学基金 (60 2 3 40 1 0 )资助项目，航空科学基金 (0 2 E5 2 0 2 5 )资助项目~~ |
| 摘 要： | 针对粗糙集中存在的模糊性问题，提出了一种利用模糊熵测量其模糊性的方法。中给出了一种新的模糊熵，提出了基于等价关系下粗糙集模糊熵的计算公式及等效表示方法，证明了这种模糊熵的性质。并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。最后以一个例子说明粗糙集中模糊熵的具体求解方法。从例子可以看出，本提出的模糊熵可以方便、有效地测量出粗糙集中的模糊性。 |
| 关 键 词： | 测量 粗糙集 模糊性 计算公式 模糊熵 |
NEW METHOD FOR MEASURING FUZZINESS IN ROUGH SETS |
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| HE Ya-qun,HU Shou-song,WEI Chong-hui.NEW METHOD FOR MEASURING FUZZINESS IN ROUGH SETS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2004,21(1):31-35. | |
| Authors: | HE Ya-qun HU Shou-song WEI Chong-hui |
| Institution: | HE Ya-qun 1,2,HU Shou-song 1,WEI Chong-hui 2 |
| Abstract: | A method with the fuzzy entropy for measuring fuzziness to fuzzy problem in rough sets is proposed. A new sort of the fuzzy entropy is given. The calculating formula and the equivalent expression method with the fuzzy entropy in rough sets based on equivalence relation are provided, and the properties of the fuzzy entropy are proved. The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given. Finally, an example illustrates the way for getting the fuzzy entropy. Results show that the fuzzy entropy can conveniently measure the fuzziness in rough sets. |
| Keywords: | rough sets fuzziness fuzzy entropy generalized fuzzy entropy |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |