The Axiomatic Definition and Calculation Formula of Intuitionistic Fuzzy Entropy Improvement

DOI：

 作者 单位 郑婉容, 郑婷婷， 张毛银 安徽大学 数学科学学院, 合肥 230601

直觉模糊熵是用来刻画直觉模糊集的不确定性和未知性程度的，首先介绍了模糊熵的定义，给出了直觉模糊集的相关知识；接着分析和深入探讨已有直觉模糊熵公理化定义，找出存在的缺陷对其进行修改；然后分析已有直觉模糊熵公式，概括出其中的要点，提出一个新的计算公式； 最后举例说明改进的公理化定义和计算公式符合客观规律.

Intuitionistic fuzzy entropy is used to characterize the uncertainty and unknownness of intuitionistic fuzzy sets. This paper first introduces the definition of fuzzy entropy and gives the relevant knowledge of intuitionistic fuzzy sets. Since entropy is used to measure the degree of chaos in the system，intuitionistic fuzzy entropy is used to measure its uncertainty，i.e.，membership，non-membership and hesitation affect the intuitionistic fuzzy entropy，and then this idea is used to analyze and deeply explore the intuitionistic fuzzy entropy. There is an axiom definition to identify existing defects and modify them. Then the existing intuitionistic fuzzy entropy formula is analyzed，the main points are summarized，and a new calculation formula is proposed. Finally，an example is given to illustrate the fact that the content proposed in this paper conforms to the objective law.