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

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

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.