On Lattice Generalizations of Bipolar Soft Rough Approximations

Esraa Mostafa Hussein, Heba Ibrahim Mostafa, Abdelaziz Elazab Radwan, Ragabia Hussein Sallam, Tarek Sayed Taha

Abstract


In this paper, we introduce bipolar soft sets, defined over a complete atomic Boolean lattice (Ξ), and discuss some basic properties of bipolar soft sets (BS s) on Ξ. We introduce bipolar soft rough approximations (BS RA) based on a complete atomic Boolean lattice to generalize bipolar soft rough approximations. We study some of their properties and characterization of bipolar soft sets and support them with illustrative examples. Finally, an application of a bipolar soft rough set on Ξ in decision-making problems is discussed.


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