| 模糊推理反向三I的$R_L$型约束度分析 |
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| 引用本文： | 张霄力,范玉顺,宋士吉.模糊推理反向三I的$R_L$型约束度分析[J].系统科学与数学,2004,24(3):318-323. |
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| 作者姓名： | 张霄力 范玉顺 宋士吉 |
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| 作者单位： | 清华大学自动化系,北京,100084 |
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| 基金项目： | 国家973计划(2002CB312205)，国家自然科学基金(60274046)资助课题. |
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| 摘 要： | 研究了基于蕴涵算子RL的模糊推理反向三Ⅰ方法的约束度理论,分析了约束度的性质,得到了一般化的α-反向三Ⅰ模糊取式下确界计算公式与α-反向三Ⅰ模糊拒取式上确界计算公式.
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| 关 键 词： | 模糊推理 约束度 反向三I方法 蕴涵算子R_L |
| 修稿时间： | 2002年6月3日 |
ANALYTICAL RESTRICTION DEGREE OF REVERSE TRIPLE I METHOD FOR FUZZY REASONING WITH LUKASIEWICZ'S IMPLICATION OPERATOR |
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| Xiao Li ZHANG,Yu Shun FAN,Shi Ji SONG.ANALYTICAL RESTRICTION DEGREE OF REVERSE TRIPLE I METHOD FOR FUZZY REASONING WITH LUKASIEWICZ''''S IMPLICATION OPERATOR[J].Journal of Systems Science and Mathematical Sciences,2004,24(3):318-323. |
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| Authors: | Xiao Li ZHANG Yu Shun FAN Shi Ji SONG |
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| Institution: | Department of Automation,Tsinghua University, Beijing 100084 |
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| Abstract: | The theory of restriction on the degree of inverse triple I method
with Lukasiewics's implication operator is studied and its properties are analyzed.
The general formulae of infimum for $\alpha$-solution of inverse triple I FMP
(Fuzzy Modus Ponens) and supremum for $\alpha$-solution of inverse triple I FMP
(Fuzzy modus Tollens) are obtained, respectively. |
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| Keywords: | Fuzzy reasoning restriction degree inverse triple I method Lukasiewicz's implication operator |
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