基于完备格上内部算子与闭包算子构造右(左)重叠函数的序和  

On Ordinal Sums of C_(R)-and C_(L)-overlap Functions on Complete Lattices in Terms of Interior and Closure Operators

作　　者：王云天 胡宝清[1,2] WANG Yun-tian;HU Bao-qing(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,People's Republic of China;School of Mathematics and Physics,Guangxi Minzu University,Nanning 530006,People's Republic of China)

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072 [2]广西民族大学数学与物理学院,广西南宁530006

出　　处：《模糊系统与数学》2024年第1期16-25,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金(批准号:11971365,11571010);广西自然科学基金(批准号:2023GXNSFDA026006)。

摘　　要：本文首先提出完备格上内部算子与闭包算子的概念,并基于闭包算子与内部算子构造完备格上右重叠函数与左重叠函数的序和,此类新提出的序和分别称为k-序和与c-序和.本文还讨论了右重叠函数k-序和的唯一性与一些简单的性质。After Qiao proposed the notions of C_(R)-and C_(L)-overlap functions on complete lattices,Wang and Hu studied ordinal sums of overlap functions on complete lattices.Based on these works,we extended interior and closure opera-tors to complete lattices and try to construct ordinal sums of C_(R)-and C_(L)-overlap functions on complete lattices under the help of interior operators(resp.closure operators)which are called k-ordinal sum(resp.c-ordinal sum).

关 键 词：右重叠函数 左重叠函数 序和 内部算子 闭包算子 完备格 

分 类 号：O159[理学—数学]