关于IVIFS算子与IFS算子关系的讨论  

Discussion on Relationship between the Operators of IVIFS and Those of IFS

作　　者：李德清[1] 王加银[2] 

机构地区：[1]军械工程学院基础部,河北石家庄050003 [2]北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,北京100875

出　　处：《模糊系统与数学》2011年第2期40-44,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60774049);北京师范大学应用数学校级重点学科建设项目

摘　　要：Atanassov教授在给出区间数直觉模糊集算子的定义以后曾给出断语:直觉模糊集算子满足的结论,都可以推广到相应的区间数直觉模糊集算子。本文详细分析多条直觉模糊集算子的性质与相应区间数直觉模糊集算子的性质之间的关系,证明这些直觉模糊集算子的性质都不能推广到区间数直觉模糊集算子,因而对Atanassov的论断进行了澄清。Interval valued intuitionistic fuzzy sets（IVIFSs） is an extention of intuitionistic fuzzy sets（IFS）.Similarly,operators over IVIFS may be seen as being extended from the operators of IFSs.Hence,we wish we can also extend the properties satisfied by the operators of IFS to those of IVIFS.In fact,after proposing the operators of IVIFS,Atanassov had given an assertion in [1] that the properties occupied by the operators of IFS are all held by the corresponding operators of IVIFS.However,after analyzing the properties of the operators of IFS and those of the corresponding operators of IVIFS in detail, we conclude that such assertion is not correct.

关 键 词：直觉模糊集 区间数直觉模糊集 区间数直觉模糊集运算算子 

分 类 号：O159[理学—数学]