离散模糊数空间上有界集的上确界和下确界  

Supremum and Infimum of Bounded Set on Discrete Fuzzy Number Space

作　　者：黄曼 王桂祥[1] HUANG Man;WANG Guixiang(Institute of Operations Research and Control,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

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2期93-97,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：给出了拟有限数集上离散模糊数的定义及其表示定理。在模糊集的包含关系类型的偏序下,讨论了有界离散模糊数集合的上、下确界问题,证明了其确界的存在性,并获得其确界计算公式。In this paper,we give the definition of discrete fuzzy numbers on a quasi-finite set,and obtain their representation theorem.In the order of inclusion relation type of fuzzy sets,we discuss the question of supremum and infimum of bounded discrete fuzzy number,prove the existence,and obtain the calculation formulas of supremum and infimum.

关 键 词：离散模糊数 离散模糊数的序 有界集 上确界 下确界 

分 类 号：O159[理学—数学]