Quantale的L-模糊理想

doi:10.6040/j.issn.1671-9352.0.2018.669

《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (12): 63-67.doi: 10.6040/j.issn.1671-9352.0.2018.669

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Quantale的L-模糊理想

罗清君

西安财经大学统计学院, 陕西西安 710100

发布日期:2019-12-11
作者简介:罗清君(1980— ), 男, 副教授, 研究方向为计量逻辑与格上拓扑. E-mail:qingjunlou@163.com
基金资助:
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)

L-fuzzy ideals in Quantale

LUO Qing-jun

School of Statistics, Xian University of Finance and Economics, Xian 710100, Shaanxi, China

Published:2019-12-11

摘要/Abstract

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。

关键词: Quantale, L-模糊集, L-模糊理想

Abstract: 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.

Key words: Quantale, L-fuzzy set, L-fuzzy ideal

中图分类号:

O153.1

罗清君. Quantale的L-模糊理想[J]. 《山东大学学报(理学版)》, 2019, 54(12): 63-67.

LUO Qing-jun. L-fuzzy ideals in Quantale[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(12): 63-67.

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L-fuzzy ideals in Quantale

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