高维模糊椭球数空间上有界集的上下确界  

The Supremum and the Infimum of Bounded Set on Higher Dimensional Fuzzy Ellipsoid Number Space

作　　者：缪丽丽 王桂祥[1] MIAO Lili;WANG Guixiang(Institute of Operatiows Research awd Control,HawgzhouDiawzi Uwiversity,Hawgzhou Zhejiawg 310018,Chiwa)

机构地区：[1]杭州电子科技大学运筹与控制研究所,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2018年第4期98-102,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61771174)

摘　　要：基于模糊集合的包含关系所定义的偏序,讨论了高维模糊椭球数空间上有界集的上确界及下确界问题,证明其有界集的上确界及下确界的存在性,并给出其表达式。Based on the partial order defined with inclusion relation of fuzzy set,the supremum and the infimum of bounded sets on high-dimensional fuzzy ellipsoid space are discussed,the existences of supremum and infimum of bounded set are proved,and their expressions are obtained.

关 键 词：模糊数 模糊椭球数 偏序 上确界 下确界 

分 类 号：O159[理学—数学]