| FMP与FMT问题的模糊熵三I算法及其还原性 |
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| 引用本文： | 彭家寅. FMP与FMT问题的模糊熵三I算法及其还原性[J]. 系统工程理论与实践, 2005, 25(4): 76-82. DOI: 10.12011/1000-6788(2005)4-76 |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | 内江师范学院数学系 |
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| 摘 要： | 讨论FMP,FMT问题的模糊熵三I算法解的存在条件,研究了三I解与模糊熵三I解的关系,获得了相当一般的情形———基于三角范数的剩余型蕴涵之模糊熵三I算法的一般计算公式,证明了这些算法在一定条件下是还原算法.
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| 关 键 词： | 模糊推理 三I算法 模糊熵 极大模糊熵原理 FMP（FMT）问题 还原性 |
| 文章编号： | 1000-6788(2005)04-0076-07 |
| 修稿时间： | 2004-05-20 |
Fuzzy Entropy Triple I Methods for FMP and FMT Problems and Their Reductivity |
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| Peng Jia-yin. Fuzzy Entropy Triple I Methods for FMP and FMT Problems and Their Reductivity[J]. Systems Engineering —Theory & Practice, 2005, 25(4): 76-82. DOI: 10.12011/1000-6788(2005)4-76 |
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| Authors: | Peng Jia-yin |
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| Affiliation: | Department of Mathematics, Neijiang Teachers College |
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| Abstract: | In this paper, the existence conditions of solutions are discussed for fuzzy entropy triple I methods of FMP(Fuzzy Modus Ponens) problem and FMT(Fuzzy Modus Tollens) problem, the relations between triple I solution and fuzzy entropy triple I solution are studied, obtains general computing formulas of fuzzy entropy triple I method based on residual form implication operator of triangle norm. Furthermore, it is proved that fuzzy entropy triple I methods of FMP problem and FMT problem are reductive algorithms under some conditions. |
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| Keywords: | fuzzy reasoning fuzzy modus tollens fuzzy modus ponens triple I method fuzzy entropy maximum fuzzy entropy principle reductivity |
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