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剩余格上的几类n-重滤子及其特征

马振明

计算机工程与应用Issue(19):36-38,3.
计算机工程与应用Issue(19):36-38,3.DOI:10.3778/j.issn.1002-8331.1208-0105

剩余格上的几类n-重滤子及其特征

Some types of n-fold filters on residuated lattices and their characterizations

马振明1

作者信息

  • 1. 临沂大学 理学院,山东 临沂 276005
  • 折叠

摘要

Abstract

The n-fold implicative filters, n-fold MV filters and n-fold Boolean filters in residuated lattices are introduced. Some alternative definitions of them are obtained. The correlations between them are investigated by these new characterizations. In particular, it is proven that a filter is n-fold Boolean filter if and only if it is n-fold implicative filter and n-fold MV filter.

关键词

剩余格/n-重蕴含滤子/n-重MV滤子/n-重布尔滤子

Key words

residuated lattices/n-fold implicative filters/n-fold MV filters/n-fold Boolean filter

分类

数理科学

引用本文复制引用

马振明..剩余格上的几类n-重滤子及其特征[J].计算机工程与应用,2013,(19):36-38,3.

基金项目

山东省自然科学基金(No.ZR2010AL004,No.ZR2011FL017)。 ()

计算机工程与应用

OACSCDCSTPCD

1002-8331

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