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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 4 > No. 3


Soft Sets, Soft Semimodules and Soft Substructures of Semimodules

PP: 235-242
Akın Osman Atagün, Aslıhan Sezgin Sezer,
Soft set theory, proposed byMolodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, we introduce and study soft semimodule and construct some basic properties by using semimodules and Molodtsov’s definition of soft sets. We introduce the notions of Soft seminodule, Soft subsemimodule, Soft semimodule homomorphism. Furthermore, we introduce subsemimodule of a semimodule and some related properties about soft substructures of semimodules are investigated and illustrated by many examples.

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