Vague熵的约束条件和模糊熵的构造

摘要

The Vague entropy should include the unknown and the uncertainty. This paper draws analysis among deficiencies of the present constraint conditions and constructional method of Vague entropy, provides improved constraint conditions and corresponding new axiom definition taking really into account two factors; a new constructional method is presented. By proceed theorem and analyzed example, it shows that this new Vague entropy has some good mathematics properties and the calculated results are more efficient and rational.%Vague集合的模糊熵既应包含Vague集的未知性又含有本身的不确定性.分析了现有Vague熵约束条件和构造方法上存在的缺陷,提出改进的Vague熵约束条件和Vague熵的公理化定义,给出一种新的Vague熵的构造方法,通过算例比较,指出这种新的模糊熵更加合理,更符合人们的直觉.