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关于GMP和GMT问题的最优解(英文)
On Optinal Solutions of GMP and GMT
【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。
【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.
【关键词】 模糊推理;
GMP问题;
GMT问题;
合成推理方法;
三Ⅰ方法;
还原性;
【Key words】 Fuzzy Reasoning; Generalized Modus Ponens; Generalized Modus Tollens; Compositional Rule of Inference; Triple I Method; Reductivity;
【Key words】 Fuzzy Reasoning; Generalized Modus Ponens; Generalized Modus Tollens; Compositional Rule of Inference; Triple I Method; Reductivity;
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2003年02期
- 【分类号】O159
- 【被引频次】2
- 【下载频次】83