摘要
引入模糊有界完备domain和模糊Scott domain的概念,研究它们的模糊闭包算子的像以及模糊保序映射等一些基本的性质.证明在一定条件下,模糊有界完备domain上的所有理想之集是模糊Scott domain,在此基础上给出模糊有界完备domain的等价刻画.
In this paper,the concepts of fuzzy bounded complete domain and fuzzy Scott domain are introduced.Some basic properties of the image of fuzzy closure operator and fuzzy order preserving mapping are studied.It is proved that under certain conditions,the set of all ideals on a fuzzy bounded complete domain is a fuzzy Scott domain.On this basis,the equivalent characterization of fuzzy bounded complete domain is given.
作者
马娜娜
罗清君
MA Nana;LUO Qingjun(School of Statistics,Xi’an University of Finance and Economics,Xi’an 710100,Shaanxi)
出处
《四川师范大学学报(自然科学版)》
CAS
2021年第4期487-492,共6页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学青年基金(12001413)
陕西省自然科学基础研究计划资助项目(2019JQ-869)
陕西省教育厅科研计划项目(20JK0640)。