Soft sets and soft groups

被引：930

作者：

Aktas, Haci ^{[1
]}

Cagman, Naim ^{[1
]}

机构：

[1] Gaziasmanpasa Univ, Fac Sci Art, Dept Math, TR-60250 Tokat, Turkey

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 13期

关键词：

soft sets; soft groups; soft subgroups; soft homomorphism; fuzzy sets; alpha-level sets; rough sets;

D O I：

10.1016/j.ins.2006.12.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Molodtsov introduced the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper we introduce the basic properties of soft sets, and compare soft sets to the related concepts of fuzzy sets and rough sets. We then give a definition of soft groups, and derive their basic properties using Molodtsov's definition of the soft sets. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2726 / 2735

页数：10

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