| 模糊推理全蕴涵算法及其还原性 |
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| 引用本文： | 裴道武. 模糊推理全蕴涵算法及其还原性[J]. 数学研究及应用, 2004, 24(2): 359-368 |
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| 作者姓名： | 裴道武 |
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| 作者单位： | 同济大学计算机科学与工程系,上海,200092;盐城师范学院数学系,江苏,盐城,224002 |
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| 摘 要： | 模糊推理是模糊控制的逻辑基础,然而通用的模糊推理CRI算法却缺乏严格的逻辑依据,近期问世的模糊推理全蕴涵三I算法有效地改进了CRI算法。本文研究了全蕴涵三I算法的一般计算公式及其还原性问题,并且得到了一些新的算法,也提出了一些新的观点,文献中已有的结果大多数是本文结果的特例。从而为模糊推理提供了一种新方法。
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| 关 键 词： | 模糊逻辑 模糊推理 模糊控制 CRI算法 全蕴涵三Ⅰ算法 还原性 |
| 文章编号： | 1000-341X(2004)02-0359-10 |
| 收稿时间： | 2001-01-22 |
| 修稿时间： | 2001-01-22 |
Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning |
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| PEI Dao-wu. Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning[J]. Journal of Mathematical Research with Applications, 2004, 24(2): 359-368 |
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| Authors: | PEI Dao-wu |
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| Affiliation: | Dept. of Comp. Sci. & Engineering. Tongji University; Shanghai; China; Dept. of Math.; Yancheng Teachers' College; Jiangsu 224002; China |
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| Abstract: | Fuzzy reasoning is the mathematical and logical foundation of fuzzy control. How- ever, the conventional CRI algorithms of fuzzy reasoning are short of solid logic foundation. The full implication trip1e I algorithms proposed recently efficiently improve CRI algo- rithms. In this paper, computing formulas and consistency of the triple I algorithms are studied generally, so that the most existing results are included as the special cases of the re- sults given out here. Some new results are obtained with new ideas. |
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| Keywords: | fuzzy logic fuzzy reasoning fuzzy control CRI algorithm full implication triple I algorithm consistency |
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