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。
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.
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
fuzzy logic
fuzzy reasoning
fuzzy control
CRI algorithm
full implication triple I algorithm
consistency
