Soft sets and soft groups

Soft sets and soft groups
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DOI:
10.1016/j.ins.2006.12.008
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发表时间:
2007-07-01
影响因子:
8.1
通讯作者:
Cagman, Naim
Cagman, Naim
中科院分区:
计算机科学1区
文献类型:
--
作者:
Aktas, Haci;Cagman, Naim

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Molodtsov介绍了软集合理论的概念,它可以作为处理不确定性的通用数学工具。本文介绍了软集的基本性质,并将软集与模糊集、粗糙集等相关概念进行了比较。然后我们给出了软群的定义,并利用Molodtsov的软集定义导出了它们的基本性质。(C)2007年爱思唯尔公司All rights reserved.
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.