Soft rough sets based on covering and their applications
Tóm tắt
Soft rough based on covering
$\mathcal {S}RC$
theory has become a useful and well-known area of research in theories of uncertainty. The present work follows up on this flourishing research topic. We introduce a new model of
$\mathcal {S}RC$
in a fusion of soft set theory
$\mathcal {S}ST$
and rough set depending on covering
$\mathcal {C}RS$
. We put forth a definition of soft rough covering approximation space
$\mathcal {S}CAS$
via neighborhood concept. Some axiomatic systems of our model of
$\mathcal {S}RC$
are discussed. We study the relationship between our model of
$\mathcal {S}RC$
and three other
$\mathcal {S}RC$
-models. An algorithm for reduction of the attributes of the information systems using
$\mathcal {S}CAS$
is established. Based on the theoretical discussion, we set forth some applications of our model which will be helpful in decision making process via
$\mathcal {S}RC$
theory.
Từ khóa
Tài liệu tham khảo
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