模糊可数连续格上的模糊序同态  

Fuzzy Order-homomorphism of Fuzzy Countable Continuous Lattices

作　　者：姜广浩[1] 周莉[1,2] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000 [2]崇阳县第一中学,湖北咸宁437500

出　　处：《模糊系统与数学》2016年第6期39-46,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11361028;11001001);安徽高等学校省级自然科学研究重点项目(KJ2013A236;KJ2016A648;KJ2017A632)

摘　　要：在模糊完备格上定义了一种新的模糊way-below关系,在此基础上引入了模糊可数连续格的概念,并给出了模糊可数定向极小集和模糊可数连续格的可数基的概念.基于此,研究了模糊可数连续格上的模糊序同态。A new kind of fuzzy way-below relation on fuzzy eomplete lattices is defined. Based on it, the concept of fuzzy countable continuous lattices is introduced, and then the concept of a fuzzy countable directed minimal set and a countable basis of fuzzy countable continuous lattices are given. Based on this, some properties of fuzzy order-homomorphism of fuzzy countable continuous lattices are investigated.

关 键 词：模糊可数连续格 模糊可数定向极小集 模糊可数连续格的可数基 模糊序同态 

分 类 号：O159[理学—数学]