(s,t)-直觉模糊向量子空间  

(s,t)-Intuitionistic fuzzy vector subspaces

作　　者：张成[1] 滕馥聪 裴炳南[1] 

机构地区：[1]大连大学信息工程学院,辽宁大连116622

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第12期1551-1555,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金项目(61271379;60971107);辽宁省科技厅优秀人才培育项目(2014020133)

摘　　要：为了完善直觉模糊向量空间理论,本文提出了(s,t)-直觉模糊向量子空间的概念.利用模糊集的上截集、下截集、上重截集和下重截集的各种凸组合,定义了相应的直觉模糊集的上截集、下截集、上重截集和下重截集,并利用模糊集的各种截集作为经典向量子空间,相应地定义了(s,t)-直觉模糊向量子空间.研究表明:不同的s,t对应不同的直觉模糊向量子空间,所以本文不但推广了已有直觉模糊向量子空间概念,同时也将直觉模糊向量子空间的概念拓广到其它情形,因此本文的结果丰富了现有的直觉模糊向量空间理论.This paper presented the concepts of （s,t）-intuitionistic fuzzy vector subspaces in order to improve the intuitionistic fuzzy vector space theory. By using the various convex combinations of the upper cut, lower cut, upper-Q cut and lower-Q cut of fuzzy set, the corresponding cut sets of intuitionistic fuzzy set were defined. At the same time, （s,t）-intuitionistic fuzzy vector subspaces were defined based on the corresponding cut sets of fuzzy set as the classical vector space. The results of this study illustrate that the different intuitionistic fuzzy vector subspaces are obtained according to values s and t, so the results not only extend the concept of intuitionistic fuzzy vector space, but also extend the concept of intuitionistic fuzzy vector space to other cases, therefore enrich the existing theory of intuitionistic fuzzy vector space.

关 键 词：模糊集 截集 直觉模糊集 模糊向量子空间 直觉模糊向量子空间 

分 类 号：O159[理学—数学] O177.3[理学—基础数学]