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Zbl 1119.03050
Aktaş, Hac i; Çağman, Naim
Soft sets and soft groups. (English)
[J] Inf. Sci. 177, No. 13, 2726-2735 (2007); erratum ibid. 179, No. 3, 338 (2009). ISSN 0020-0255

Summary: 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.

MSC 2000:: *03E72 Fuzzy sets (logic)
20N25 Fuzzy groups

Keywords: soft sets; soft groups; soft subgroups; soft homomorphism; fuzzy sets; $\alpha$-level sets; rough sets

Cited in: Zbl 1235.16040 Zbl 1228.20055 Zbl 1234.16036

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