| 一种新的覆盖粗糙模糊集的模糊度 |
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| 引用本文： | 王伟,彭进业.一种新的覆盖粗糙模糊集的模糊度[J].西北大学学报,2012(3):381-385. |
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| 作者姓名： | 王伟 彭进业 |
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| 作者单位： | 西北大学信息科学与技术学院;西北工业大学电子信息学院 |
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| 基金项目： | 陕西省教育厅自然科学专项基金资助项目(09JK738) |
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| 摘 要： | 目的研究第三类覆盖粗糙模糊集的不确定性度量方法。方法通过引入上下近似的标准差作为权重的度量标准,定义了一种新的覆盖粗糙模糊集的加权平均模糊度。结果该模糊度符合模糊度的定义,能够衡量覆盖粗糙模糊集的不确定性程度。结论改进了罗世尧关于覆盖粗糙模糊集模糊度的计算方法,使之更为实用和有效。
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| 关 键 词： | 粗糙模糊集 覆盖 模糊度 |
A new fuzziness for covering rough fuzzy sets |
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| WANG Wei,PENG Jin-ye.A new fuzziness for covering rough fuzzy sets[J].Journal of Northwest University(Natural Science Edition),2012(3):381-385. |
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| Authors: | WANG Wei PENG Jin-ye |
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| Institution: | 1,2(1.School of Information Science and Technology,Northwest University,Xi′an 710127,China; 2.School of Electronics and Information,Northwestern Polytechnical University,Xi′an 710072,China) |
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| Abstract: | Aim To study the uncertainty measure method of the third covering based generalized rough fuzzy set model.Methods Through transforming uncertainty,taking standard deviation of the lower and upper approximations as a measure of weight,a new weighted fuzziness for covering based generalized rough fuzzy set is proposed.Results The fuzzy degrees accord with the definition of fuzzy degrees,and can measure the uncertainty degree of the third covering based generalized rough fuzzy set.Conclusion The method of fuzziness for covering rough fuzzy sets by luo were improved,to make it more effective and practical. |
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| Keywords: | rough fuzzy sets covering fuzziness |
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