模糊信息度量及推理中蕴涵运算的信息度约束

Fuzzy Information Measure and Information Measure Requirement of Implication Operators in Fuzzy Reasoning

根据胡国定教授经典集信息量定义给出一种新的模糊集信息量度量方法,研究了其性质,并与Y ager的特征测度进行了比较,表明该测度是合理的。提出了模糊推理中蕴涵运算的信息度约束,给出了基于合成算法的模糊推理中,模糊蕴涵运算满足该信息度约束的充分条件。

Firstly, according to the definition of information content of classic set proposed by Vrotessor Flu, we give a method to measure the information content of fuzzy set. Then, we discuss the property; compare it with specificity measure proposed by Yager, and show that the measure is rational. Finally, we put forward a new information measure restriction of implication operator, and discuss some implication operators to see if they satisfy the information measure restriction.