模糊集的直觉熵与直觉相似度  

Intuitionistic entropy and intuitionistic similarity of fuzzy sets

作　　者：石乙英[1,2] 袁学海[1,3] 

机构地区：[1]大连理工大学控制科学与工程学院,辽宁大连116024 [2]沈阳理工大学理学院,辽宁沈阳110159 [3]大连理工大学盘锦校区基础教学部,辽宁盘锦124221

出　　处：《大连理工大学学报》2016年第4期427-431,共5页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(61473327)

摘　　要：熵与相似度都是用来描述模糊集模糊程度的指标,现有方法都是通过将其刻画为具体的数值展开研究.针对当模糊集的模糊程度具有不确定性,无法利用具体的数值表示时,如何利用熵与相似度来进行度量的问题展开讨论.首先提出了直觉熵与直觉相似度的定义,其次利用两个定理说明直觉熵与直觉相似度可以相互转化.Both entropy and similarity are used to describe the fuzziness of the fuzzy sets.But in existing methods,they are still represented as specific values to be studied.Aiming at the uncertainty of the fuzziness of the fuzzy sets which can not be expressed by specific value,the problem of how to measure with entropy and similarity is discussed.Firstly,intuitionistic entropy and intuitionistic similarity are defined.And then,two theorems are proposed to show how these definitions can be deduced to each other.

关 键 词：熵 相似度 直觉熵 直觉相似度 

分 类 号：O159[理学—数学]