软酉空间及其运算性质  

The Soft Unitary Space and its Properties

作　　者：刘用麟 吴成达 LIU Yonglin;WU Chengda(School of Mathematics and Computer,Wuyi University,Wuyishan,Fujian 354300)

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《武夷学院学报》2018年第12期1-4,共4页Journal of Wuyi University

基　　金：国家自然科学基金(11726505);福建省科技项目(2016Y0077;2013J01017;2011Y0049);南平市科技项目(N2011WZ09)

摘　　要：将软集合理论应用到酉空间中.首先给出酉空间和软集合理论的相关知识;再对软酉空间进行了合理的定义,给出具体的例子来证明软酉空间的存在性;接着研究软酉空间的运算性质,给出软酉空间的扩展交、限制交和限制差分;最后研究软酉空间的同态性质.In this paper,the soft set theory is applied to unitary space.First,the relevant knowledge of unitary space and soft set theory is given.Then,a reasonable definition of the soft unitary space is given,and concrete examples are given to prove the existence of the soft unitary space.Then the operation properties of the soft unitary space are studied,and the extended intersection operation,the restricted intersection operation and the restricted difference operation of the soft unitary space are given.Finally,the homomorphism properties of the soft unitary space are studied.

关 键 词：软商空间 扩展交 限制交 限制差分 同态 

分 类 号：O177[理学—数学]