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Intersection Soft Subspaces and Union Soft Subspaces with their Applications |
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PP: 89-96 |
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Author(s) |
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Aslıhan Sezgin Sezer,
Akın Osman Atagün,
Naim Çağman,
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Abstract |
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| In this paper, we first introduce two kinds of subspaces of a vector space with respect to soft structures, which are
intersection-soft subspace (IS-subspace) and union-soft subspace (US-subspace). These new concepts shows how a soft set affects
on a subspace of a vector space in the mean of intersection, union and inclusion of sets and thus, they can be regarded as a bridge
among classical sets, soft sets and vector spaces. We then investigate their related properties with respect to soft set operations, soft
image, soft preimage, soft anti image, a-inclusion of soft sets and linear transformations of the vector spaces. Furthermore, we obtain
the relation between IS-subspaces and US-subspaces and give the applications of these new subspaces on vector spaces. |
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