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浙江大学学报（理学版）
浙江大学学报（理学版）  2016, Vol. 43 Issue (2): 127-133    DOI: 10.3785/j.issn.1008-9497.2016.02.001
数学与计算机科学     
区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的构造
乔希民1, 吴洪博2
1. 商洛学院数学与计算机应用学院, 陕西商洛 726000;
2. 陕西师范大学数学与信息科学学院, 陕西西安 710062
Structure of non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on interval sets
QIAO Ximin1, WU Hongbo2
1. College of Mathematics and Computer Application, Shangluo University, Shangluo 726000, Shaanxi Province, China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
 全文: PDF(1276 KB)  
摘要： 以区间集和滤子理论作为研究区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的工具,通过引入区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的概念,讨论了生成<∈,∈∪Q>-fuzzy滤子的几种方法,彰显模糊逻辑推演系统被视为代数滤子的镜像.
关键词： 非可换模糊逻辑;  区间集;  区间集上非交换剩余格;  <∈,∈Q>-fuzzy滤子;  构造性方法    
Abstract: Based on interval sets and the filter theory, the non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on the interval sets was researched. Firstly, we introduced the structural concept of the non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on the interval sets, and then discussed several methods for generating <∈, ∈∪Q>-fuzzy filter. Fuzzy logic deduction system is regarded as the acoustic image of algebraic filter.
Key words: non-commutative fuzzy logic    interval sets    non-commutative residual lattice on interval sets    <∈, ∈∪Q>-fuzzy filter    constructional method
收稿日期: 2015-03-01 出版日期: 2016-03-12
CLC:  O141  
基金资助: 国家自然科学基金资助项目(61572016);陕西省自然科学基础研究计划项目(2013JM1023);陕西省教育厅科研计划项目(11JK0512).
作者简介: 乔希民(1960-),ORCID:http://orcid.org/0000-0002-9585-672X,男,副教授,硕士,主要从事非经典数理逻辑与格上拓扑学研究,E-mail:qiaoximin@163.com.
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引用本文:

乔希民, 吴洪博. 区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的构造[J]. 浙江大学学报（理学版）, 2016, 43(2): 127-133.

QIAO Ximin, WU Hongbo. Structure of non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on interval sets. Journal of Zhejiang University (Science Edition), 2016, 43(2): 127-133.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.02.001    或    https://www.zjujournals.com/sci/CN/Y2016/V43/I2/127

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