Soft sets and soft lattices

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (3): 10-14.

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Soft sets and soft lattices

SHAO Yingchao1, ZHU Zhenguo2, QIN Keyun1

1.School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2.School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Online:2013-02-01 Published:2013-02-18

软集与软格

邵迎超1，朱振国2，秦克云1

1.西南交通大学数学学院，成都 610031
2.重庆交通大学信息科学与工程学院，重庆 400074

Abstract

Abstract: This paper applies the soft set theory introduced by Molodtsov in 1999 to the lattice theory. For this purpose, the notions of soft lattice and soft sublattice are introduced and some related properties are investigated. In addition, it gives some characterizations of idealistic soft lattices and filteristic soft lattices using [∈]-soft sets and q-soft sets.

Key words: soft set, soft lattice, soft sublattice, idealistic soft lattice, filteristic soft lattice

摘要： 将Molodtsov于1999年提出的软集理论应用到格论中，提出了软格和软子格的概念，讨论了它们相关的性质。另外，基于[∈]-软集和q-软集的概念，讨论了理想软格和滤子软格的一些性质。

关键词: 软集, 软格, 软子格, 理想软格, 滤子软格

SHAO Yingchao1, ZHU Zhenguo2, QIN Keyun1. Soft sets and soft lattices[J]. Computer Engineering and Applications, 2013, 49(3): 10-14.

邵迎超1，朱振国2，秦克云1. 软集与软格[J]. 计算机工程与应用, 2013, 49(3): 10-14.

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Soft sets and soft lattices

软集与软格

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