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Zbl 1165.16307
Feng, Feng; Jun, Young Bae; Zhao, Xianzhong
Soft semirings. (English)
[J] Comput. Math. Appl. 56, No. 10, 2621-2628 (2008). ISSN 0898-1221

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.
MSC 2000:
*16Y60 Semirings
03E72 Fuzzy sets (logic)

Keywords: soft sets; soft semirings; soft subsemirings; soft ideals; idealistic soft semirings; soft semiring homomorphisms; fuzzy sets

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