Vague熵的约束条件和新模糊熵的构造  

Constraint conditions and new constructional method of Vague entropy

作　　者：高明美[1,2] 孙涛[1] 

机构地区：[1]南京航空航天大学经济与管理学院,南京211106 [2]青岛大学数学科学学院,山东青岛266071

出　　处：《计算机工程与应用》2012年第18期27-31,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.71171120);教育部人文社科基金规划项目(No.11YJA790133);江苏省高校哲学社科基金重点项目(No.11ZDIXM051)

摘　　要：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。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.

关 键 词：VAGUE集 模糊熵 未知性 不确定性 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]