4.7 Article

Soft semirings

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 56, Issue 10, Pages 2621-2628

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2008.05.011

Keywords

Soft sets; Soft semirings; Soft subsemirings; Soft ideals; Idealistic soft semirings; Soft semiring homomorphisms; Fuzzy sets

Funding

  1. Education Department of Shaanxi province [08JK432]

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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. (C) 2008 Elsevier Ltd. All rights reserved.

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