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| 区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的构造 | |
| 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. DOI: 10.3785/j.issn.1008-9497.2016.02.001 |
| 作者姓名： | 乔希民 吴洪博 |
| 作者单位： | 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 |
| 基金项目： | 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). |
| 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 |
| 收稿时间： | 2015-03-01 |
Structure of non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on interval sets |
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| QIAO Ximin,WU Hongbo. Structure of non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on interval sets[J]. Journal of Zhejiang University(Sciences Edition), 2016, 43(2): 127-133. DOI: 10.3785/j.issn.1008-9497.2016.02.001 | |
| Authors: | QIAO Ximin WU Hongbo |
| Affiliation: | 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 |
| 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. |
| Keywords: | non-commutative fuzzy logic interval sets non-commutative residual lattice on interval sets <∈ ∈∪Q>-fuzzy filter constructional method |
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