【摘要】 关于Fuzzy集运算与Fuzzy推理关系的基本定义,迄今已经有了几十种不同的表达式。它们的产生多少带有点经验色彩,缺乏理论上的依据。面对着这众多的定义,人们不知从何选择,不知依据什么去作选择。本文运用落影表现理论对Fuzzy集运算及Fuzzy推理关系给出了统一的定义,根据Fuzzy集之间的不同关联情况,推导出了包括Zadeh表达式在内的各种具体公式,并对它们的适用场合进行了初步的分析。更多还原

【Abstract】 How to define fuzzy set-operations is the basic problem for the research of fuzzy sets and fuzzy logic. Dozens of formulae have been given without theoretical analysis and explainations. The biger the number of formulae,the more difficult for us to select. Based on the Falling Shadow Representation Theory, this paper gives an united definition to fuzzy set-operations,and then, several fundamental formulae have been reasoriablely deduced.更多还原