Vague熵的构造方法再研究  

Further study of constructional method of Vague entropy

作　　者：郑婷婷[1] 储友福[1] 李宝萍[2] 

机构地区：[1]安徽大学数学科学学院,合肥230601 [2]安徽三联学院基础部,合肥230601

出　　处：《计算机工程与应用》2013年第20期108-111,共4页Computer Engineering and Applications

基　　金：国家自然基金数学天元青年基金(No.11026076);安徽大学博硕士队伍建设项目(No.02203105)

摘　　要：通过对Vague集的模糊来源的本质分析,指出现有模糊熵构造方法的不足,总结出综合未知度和模糊度的Vague熵的公理化定义,利用加权提出了Vague集上一种新的模糊熵计算公式,并通过定理证明和实例对比分析,说明它不仅能充分反映Vague集的模糊程度,而且所得结果更合理、更符合人的直觉。This paper analyzes the essence of fuzzy origin, and points out the deficiencies of the existing constructional method on entropy of Vague sets. It summarizes the axiomatic definition of entropy of Vague sets according with uncertainty and fuzzy ness. It presents a new weighted formula of Vague entropy, which not only completely shows the fuzzy degree of Vague set, but also gives the more reasonable and intuitive results, based on the theorem proving and examples comparison analysis.

关 键 词：VAGUE集 未知度 模糊度 Vague熵 

分 类 号：O159[理学—数学]