| 关于GMP和GMT问题的最优解 |
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| 引用本文： | 裴道武.关于GMP和GMT问题的最优解[J].模糊系统与数学,2003,17(2):1-9. |
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| 作者姓名： | 裴道武 |
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| 作者单位： | 西安交通大学理学院,陕西,西安,710049;盐城师范学院数学系,江苏,盐城,224002 |
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| 摘 要： | 进一步研究模糊推理的非模糊形式，在几个重要的逻辑系统中形式地讨论GMP(广义取式)和GMT(广义拒取式)问题的最优解。结果表明，GMP和GMT问题的三I解和一种新的三I解都是某种意义下的最优解。还讨论所给算法的还原性问题。
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| 关 键 词： | 广义取式 广义拒取式 最优解 三I解 模糊推理 非模糊形式 逻辑系统 三I解 上根 还原性 |
On Optinal Solutions of GMP and GMT |
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| PEI Dao-wu.On Optinal Solutions of GMP and GMT[J].Fuzzy Systems and Mathematics,2003,17(2):1-9. |
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| Authors: | PEI Dao-wu |
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| Abstract: | This paper focuses on the non-fuzzy versions of fuzzy reasoning, and further discusses formally the optimal solutions of generalized modus ponens and generalized modus tollens in several important logic systems. It is proved that the triple I solutions and a kind of new Triple I solutions are all optimal solutions of generalized modus ponens and generalized modus tollens in some sense. The reductivity of given algorithms are also considered. |
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| Keywords: | Fuzzy Reasoning Generalized Modus Ponens Generalized Modus Tollens Compositional Rule of Inference Triple I Method Reductivity |
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