Soft semirings

Authors:
Feng Feng;Young Bae Jun;Xianzhong Zhao
Affiliations:
Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, PR China;Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Mathematics, Northwest University, Xi'an 710069, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 10
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Abstract

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.