基于值和左、右偏离度的模糊数排序  

A Theoretical Approach to Ranking of Fuzzy Numbers Using Value and Left-right Deviation Degree

作　　者：徐晨晨 叶国菊[1] 刘尉[1] 史芳芳 赵大方 XU Chenchen;YE Guoju;LIU Wei;SHI Fangfang;ZHAO Dafang(College of Science,Hohai University,Nanjing 210098 China;School of Mathematics and Statistics,Hubei Normal University,Huang Shi 435002 China)

机构地区：[1]河海大学理学院,江苏南京210098 [2]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《西华大学学报（自然科学版）》2023年第5期105-112,共8页Journal of Xihua University:Natural Science Edition

基　　金：国家冰川冻土沙漠科学数据中心项目(2021kf03);湖北省教育厅重点项目(D20192501)。

摘　　要：基于模糊数的值和左、右偏离度,提出了一种新的模糊数排序方法,并引入参数λ来衡量排序指标中是否包含偏离度。研究了该排序方法的性质,如自反性,反对称性和传递性等。最后,用数值例子说明所提出的排序方法克服了其他方法的某些局限性,具有一定的优势。This paper proposes a new fuzzy number ranking method based on fuzzy number value and left and right deviation degree,and introduces parametersλto measure whether the ranking index contains deviation degree.Secondly,the properties of the sorting method,such as reflexivity,antisymmetry and transitivity,are studied.Finally,numerical examples are illustrated and the result show that the proposed ranking method can overcome some limitations of other met-hods and has certain advantages.

关 键 词：模糊数的值 左偏离度 右偏离度 模糊数排序 

分 类 号：O159[理学—数学]