基于三值模糊集的直觉模糊向量子空间  

Intuitionistic fuzzy subspace based on 3-value fuzzy set

作　　者：刘自新[1] 张成[1] 张帅[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）》2010年第6期1169-1172,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：辽宁省教育厅高等学校科学研究基金资助项目(20060073)

摘　　要：针对直觉模糊集截集的新定义-三值模糊集,对直觉模糊向量子空间的有关理论重新进行了研究:利用三值模糊集给出了直觉模糊子空间和直觉模糊仿射集的定义,讨论了直觉模糊集成为直觉模糊子空间或直觉模糊仿射集的充要条件及直觉模糊仿射集与直觉模糊子空间的关系;给出了直觉模糊线性变换和直觉模糊仿射变换的定义,并研究了二者之间的关系。结果证明:在三值模糊集的定义下直觉模糊向量子空间的有关结论仍然是成立的。In view of the new definition of cut set about intuitionistic fuzzy set-3-value fuzzy set,the theories of intuitionistic fuzzy subspace are revisited.In this paper,the definitions of intuitionistic fuzzy subspace and intuitionistic fuzzy affine set are given based on 3-value fuzzy set.Also,why an intuitionistic fuzzy set is the necessary and sufficient condition of intuitionistic fuzzy subspace or intuitionistic fuzzy affine set is discussed.The relationship between intuintionistc fuzzy affine set and intuitionistic fuzzy subspace is elaborated.In addition,the definition of intuitionistic fuzzy linear transformation and intuitionistic fuzzy affine transformation are proposed and their relationship is investigated.Under the definition of 3-value fuzzy set,the conclusions of intuitionistic fuzzy subspaces still hold.

关 键 词：三值模糊集 直觉模糊集 直觉模糊向量子空间 

分 类 号：O159[理学—数学]