基于模糊转化的2种毕达哥拉斯模糊熵构造方法  

Two construction methods of Pythagorean fuzzy entropy based on fuzzy transformation

作　　者：陈孝国 肖修鸿 周新东 李永超 黄樟浩 李倩倩[2] CHEN Xiaoguo;XIAO Xiuhong;ZHOU Xindong;LI Yongchao;HUANG Zhanghao;LI Qianqian(School of Information Engineering,Sanming University,Sanming 365004,China;School of Mathematics and Statistics,Fuzhou University,Fuzhou 350108,China)

机构地区：[1]三明学院信息工程学院,福建三明365004 [2]福州大学数学与统计学院,福建福州350108

出　　处：《高师理科学刊》2023年第4期1-6,共6页Journal of Science of Teachers＇College and University

基　　金：福建省自然科学基金面上项目(2020J01391);福建省中青年教师教育科研项目(JAT190688,B201901)。

摘　　要：为了精确刻画毕达哥拉斯模糊集不确定性和未知性程度,给出毕达哥拉斯模糊熵的定义,借助模糊转化公式,将直觉模糊熵转化为毕达哥拉斯模糊熵.探讨现有转化公式的不足,提出一种新的毕达哥拉斯模糊集与直觉模糊集的转化方法,新构造的熵不仅满足毕达哥拉斯模糊熵公理化定义,而且也适用于直觉模糊集.In order to accurately describe the uncertainty and unknown degree of Pythagorean fuzzy sets,the definitions of the Pythagorean fuzzy entropy is given.Intuitionistic fuzzy entropy is transformed into Pythagoras fuzzy entropy by fuzzy transformation formula.The shortcomings of the existing transformation formulas are discussed,and a new transformation method between Pythagorean fuzzy sets and intuitionistic fuzzy sets is proposed.The newly constructed entropy not only satisfies the axiomatic definition of Pythagorean fuzzy entropy,but also applies to intuitionistic fuzzy sets.

关 键 词：毕达哥拉斯模糊集 毕达哥拉斯模糊熵 模糊转化 直觉模糊集 直觉模糊熵 

分 类 号：O159[理学—数学]