Bipolar Soft Generalized Topological Structures and Their Application in Decision Making
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i2.4353Keywords:
Soft set, $\mathfrak{BSS}$, $\mathfrak{BSGTS}$, bipolar soft $\widetilde{\widetilde{\mathfrak{g}}}$-open ($\widetilde{\widetilde{\mathfrak{g}}}$-closed) set, bipolar soft $ \widetilde{\widetilde{\mathfrak{g}}}$-interior, bipolar soft $ \widetilde{\widetilde{\mathfrak{g}}}$-closure, decision makingAbstract
The basic of bipolar soft set theory stands for a mathematical instrument that brings
together the soft set theory and bipolarity. Its definition is based on two soft sets, a set that
provides positive information and other that gives negative. This paper mainly aims at defining
a new bipolar soft generalized topological space; setting out of the point that the collection of
bipolar soft sets forms the basis for the definition of the new concept is defined. Added to that,
an investigation has been made of the four concepts of bipolar soft generalized, namely g-interior,
g-closure, g-exterior and g-boundary. Furthermore, the main properties of bipolar soft generalized
topological space (BSGT S) are established. This paper also attends to the discussion of the
relations between these new definitions and the application of the given bipolar soft generalized
topological spaces in a decision-making problem where an algorithm for this application has been
suggested. Finally, to clarify and substantiate what the current work subsumes, some examples
have been provided.
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