| 基于三角范数的模糊逻辑中的三Ⅰ方法 |
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| 引用本文： | 裴道武.基于三角范数的模糊逻辑中的三Ⅰ方法[J].模糊系统与数学,2006,20(2):1-7. |
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| 作者姓名： | 裴道武 |
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| 作者单位： | 浙江理工大学,数学研究所,浙江,杭州,310018 |
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| 基金项目： | 973Project(2003CB316902)，NSFProject(60475019)ofChina |
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| 摘 要： | 三I推理方法是一种新的模糊推理方法,通过已有的研究成果表明,在许多方面它优于传统的CRI推理方法,它将成为模糊系统和人工智能的理论和应用研究中一个比较理想的推理机制。最近,国外学者提出了一个新的模糊逻辑形式系统,叫做Monoidal t-norm based logics(简记为MTL),已经证明这个形式系统是所有基于左连续三角范数的模糊逻辑的共同形式化。本文基于这类逻辑将三I推理方法形式化,从而在这些逻辑系统中为三推理方法找到了可靠的逻辑依据。
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| 关 键 词： | 非经典逻辑 模糊推理 Monoidalt-norm based logic 三I推理方法 形式三I推理方法 |
| 文章编号： | 1001-7402（2006）02-0001-07 |
| 收稿时间： | 2004-03-01 |
| 修稿时间： | 2004年3月1日 |
Triple I Method for t-norm Based Logics |
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| PEI Dao-wu.Triple I Method for t-norm Based Logics[J].Fuzzy Systems and Mathematics,2006,20(2):1-7. |
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| Authors: | PEI Dao-wu |
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| Institution: | Institute of Mathematics,Zhejiang Sci-Tech University,Hangzhou 310018,China |
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| Abstract: | Triple I method is an interesting inference method for fuzzy reasoning,which seems to be more(reasonable) than the conventional CRI method.This new method will become a more ideal inference(mechanism) in theoretical and applied researches of fuzzy systems and artificial intelligence.In this paper,(based) on monoidal t-norm based logic MTL and its schematic extensions,triple I inference method is(formalized,) and a sound logic foundation of fuzzy reasoning is set on these logic systems.Meanwhile,some useful recommendations for more reasonably using fuzzy reasoning method are provided. |
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| Keywords: | Non-classical Logic Fuzzy Reasoning Monoidal t-norm Based Logic Triple I Inference(Method ) Formal Triple I Method |
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