Applications of bipolar soft sets on BCK-modules
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Date
2023
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Publisher
UMT Lahore
Abstract
The notion of BCK-module was established as an action of BCK-algebras on abelian groups. On the other hand bipolar soft sets have been developed to equip the notion of soft set with a polarity. In this thesis the notion of bipolar soft sets is applied on the notion of BCK-module and thereby the novel idea of bipolar soft BCK-module is introduced. In this regard, the fundamental operations on bipolar soft BCK-modules have been defined and discussed for various attributes. These operations included union, intersection, addition, complement and cartesian product of bipolar soft BCK-modules. Further, the notion of bipolar soft BCK-submodules is introduced and discussed for fundamental properties.