Quantale的L-模糊理想  

L-fuzzy ideals in Quantale

作　　者：罗清君 LUO Qing-jun(School of Statistics,Xi'an University of Finance and Economics,Xi'an 710100,Shaanxi,China)

机构地区：[1]西安财经大学统计学院

出　　处：《山东大学学报（理学版）》2019年第12期63-67,73,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(61702389);陕西省教育厅基金项目(18JK0315);西安统计研究院基金项目(15JD01)

摘　　要：将L-模糊集理论应用到Quantale中,引入了L-模糊理想、L-模糊素理想和L-模糊预理想的概念,讨论了它们的性质,得到了若干等价刻画条件,给出了由L-模糊点生成L-模糊理想的具体结构。In the present paper, by applying L-fuzzy theory to Quantale, we introduce the notations of L-fuzzy ideals, L-fuzzy prime ideals and L-fuzzy primary ideals in Quantale, and investigate their properties. Several characterizations of such ideals are present. The concert structure of L-fuzzy ideals generated by L-fuzzy points is also obtained.

关 键 词：QUANTALE L-模糊集 L-模糊理想 

分 类 号：O153.1[理学—数学]