摘要
为进一步研究区间值直觉模糊集的模糊熵及其应用,将区间数的距离引入到区间值直觉模糊集的模糊度定义中并修改已有的模糊熵公理化定义,研究结果:(1)提出了区间值直觉模糊集的新模糊度定义,其更能反映模糊度的本质且是直觉模糊集的模糊度定义的推广;(2)提出了区间值直觉集的模糊熵的一系列诱导定理和一系列熵公式;(3)基于熵权法提出了在属性权重向量和专家权重向量完全未知、偏好信息为区间值直觉模糊集环境下不确定多属性群决策问题的解决方法,通过实例验证了方法的可行性和有效性。
In order to further study the fuzzy entropy of interval-valued intuitionistic fuzzy sets and its application,the distance between the interval numbers is introduced into the definition of fuzziness of interval-valued intuitionistic fuzzy set,and the existing axiomatic definition of fuzzy entropy is modified.The research findings are as follows:①A new definition of fuzziness of interval-valued intuitionistic fuzzy sets is proposed,which can better reflect the essence of fuzziness and is a generalization of the definition of fuzziness of intuitionistic fuzzy sets.②A series of induction theorems and a series of entropy formulas for the fuzzy entropy of interval-valued intuitionistic fuzzy sets are proposed.③Based on the entropy method,a method to solve the kind of uncertain multi-attribute group decision-making problems is proposed in the case where the attribute weight vector and expert weight vector are completely unknown and the preference information is interval-valued intuitionistic fuzzy sets.The feasibility and effectiveness of the method are verified through an example.
作者
杨少康
田泽金
吕跃进
YANG Shao-kang;TIAN Ze-jin;LYU Yue-jin(College of Mathematics and Information Science, Guangxi University, Nanning 530004, China;College of Electrical Engineering, Guangxi University, Nanning 530004, China)
出处
《广西大学学报（自然科学版）》
CAS
北大核心
2018年第6期2478-2489,共12页
Journal of Guangxi University（Natural Science Edition）
基金
国家自然科学基金资助项目(71361002)
广西自然科学基金资助项目(2013GXNSFAA19016)
关键词
区间值直觉模糊集
模糊度
模糊熵
多属性群决策
interval-valued intuitionistic
fuzzy set
fuzziness
fuzzy entropy
multi-attribute group decision making
