| 引用本文: | 曾水玲,杨静宇,徐蔚鸿.反向三I算法的连续性和误差传播[J].控制理论与应用,2011,28(2):273~278.[点击复制] |
| ZENG Shui-ling,YANG Jing-yu,XU Wei-hong.Continuity properties and error propagation of reverse triple-implication method of fuzzy reasoning[J].Control Theory and Technology,2011,28(2):273~278.[点击复制] |
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| 反向三I算法的连续性和误差传播 |
| Continuity properties and error propagation of reverse triple-implication method of fuzzy reasoning |
| 摘要点击 1396 全文点击 892 投稿时间：2009-10-13 修订日期：2010-03-12 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.2.CCTA091292 |
| 2011,28(2):273-278 |
| 中文关键词 模糊推理 模糊关系合成法则 反向三I算法 模糊逻辑 |
| 英文关键词 fuzzy reasoning compositional rule of inference reverse triple-implication method of fuzzy reasoning fuzzy logic |
| 基金项目 湖南省教育厅科研基金优秀青年资助项目(10B088). |
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| 中文摘要 |
| 对全蕴涵反向三I算法是否满足连续性问题进行了首次研究, 并进一步讨论了这类算法对误差的传播性能. 文中把模糊推理算法看成是一个模糊集合到另一个模糊集合的映射, 选用海明距离作为两模糊集的距离, 证明了在模糊假言推理和模糊拒取式推理情形, 该算法都拥有连续性; 其对误差的放大幅度为2. |
| 英文摘要 |
| We investigate the continuity properties of the implicit reverse triple-implication algorithm; and discuss in depth the error propagation in this type of algorithm. A fuzzy inference algorithm is viewed as a mapping from one fuzzy set to the other fuzzy set; the distance between them is computed by the Hamming distance formula. We prove that the algorithm holds continuity properties in the case of fuzzy modus ponens and fuzzy modus tollendo ponens. In both cases, the magnification factor for the errors is 2. |