单值中智关系空间范畴  

The Category of Single Valued Neutrosophic Relational Spaces

作　　者：赵虎[1] 张红英[2] ZHAO Hu;ZHANG Hong-ying(School of Science,Xi’an Polytechnic University,Xi’an 710048,China;School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]西安交通大学数学与统计学院,陕西西安710049

出　　处：《模糊系统与数学》2019年第4期46-53,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61473181;11671007;11771263);陕西省教育厅专项科研计划项目(18JK0360);西安工程大学博士科研启动基金资助项目(BS1426);青海省应用基础研究项目(2019-ZJ-7078)

摘　　要：设[0,1]-VNRS是单值中智关系空间和连续映射构成的范畴,证明了[0,1]-VNRS是拓扑的(resp.余拓扑的)范畴,获得了一些关于商单值中智关系空间和乘积单值中智关系空间的结果.最后,证明了[0,1]-VNRS是笛卡尔闭的范畴.In this paper, let [0,1]-VNRS be the category of all single valued neutrosophic relational spaces and their continuous mappings, we show that [0,1]-VNRS is topological(resp. co-topological) over Set with respect to the forgetful functor, and obtain various properties, including some results on quotient and product single valued relational spaces. At last, we show that [0,1]-VNRS is cartesian closed over Set.

关 键 词：单值中智关系空间 范畴 商单值中智关系空间 乘积单值中智关系空间 笛卡尔闭的 

分 类 号：O189[理学—数学]