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Feng, Feng; Jun, Young Bae; Zhao, Xianzhong

Soft semirings. (English) Zbl 1165.16307

Comput. Math. Appl. 56, No. 10, 2621-2628 (2008).
Summary: Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft semirings by using the soft set theory. The notions of soft semirings, soft subsemirings, soft ideals, idealistic soft semirings and soft semiring homomorphisms are introduced, and several related properties are investigated.

Cited in 186 Documents

MSC:

16Y60 Semirings
03E72 Theory of fuzzy sets, etc.

Keywords:

soft sets; soft semirings; soft subsemirings; soft ideals; idealistic soft semirings; soft semiring homomorphisms; fuzzy sets
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\textit{F. Feng} et al., Comput. Math. Appl. 56, No. 10, 2621--2628 (2008; Zbl 1165.16307)
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References:

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