裴道武.模糊推理全蕴涵算法及其还原性[J].数学研究及应用,2004,24(2):359~368
模糊推理全蕴涵算法及其还原性
Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning
投稿时间:2001-01-22  
DOI:10.3770/j.issn:1000-341X.2004.02.029
中文关键词:  模糊逻辑  模糊推理  模糊控制  CRI算法  全蕴涵三Ⅰ算法  还原性
英文关键词:fuzzy logic  fuzzy reasoning  fuzzy control  CRI algorithm  full implication triple I algorithm  consistency
基金项目:
作者单位
裴道武 同济大学计算机科学与工程系,上海,200092
盐城师范学院数学系,江苏,盐城,224002 
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中文摘要:
      模糊推理是模糊控制的逻辑基础,然而通用的模糊推理CRI算法却缺乏严格的逻辑依据,近期问世的模糊推理全蕴涵三I算法有效地改进了CRI算法。本文研究了全蕴涵三I算法的一般计算公式及其还原性问题,并且得到了一些新的算法,也提出了一些新的观点,文献中已有的结果大多数是本文结果的特例。从而为模糊推理提供了一种新方法。
英文摘要:
      Fuzzy reasoning is the mathematical and logical foundation of fuzzy control. How- ever, the conventional CRI algorithms of fuzzy reasoning are short of solid logic foundation. The full implication trip1e I algorithms proposed recently efficiently improve CRI algo- rithms. In this paper, computing formulas and consistency of the triple I algorithms are studied generally, so that the most existing results are included as the special cases of the re- sults given out here. Some new results are obtained with new ideas.
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