On Lattice Generalizations of Bipolar Soft Rough Approximations

Paper ID : 1051-ISCH

Authors

إسراء مصطفى حسين * جامعه حلوان

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. The main purpose of this paper is to introduce bipolar soft sets, which are defined over a complete atomic Boolean lattice, we give some basic ideas about bipolar soft sets. Then, we discuss some basic properties of (BS s) on a complete atomic Boolean lattice and define complement, extended (union and intersection), and restricted (union and intersection). Keywords : bipolar soft set on a complete atomic Boolean lattice, bipolar soft rough set on a complete atomic Boolean lattice, new mapping induced by (BS RA) on a complete atomic Boolean lattice.

Keywords

bipolar soft set on a complete atomic Boolean lattice, bipolar soft rough set on a complete atomic Boolean lattice, new mapping induced by (BS RA) on a complete atomic Boolean lattice.

Status: Abstract Accepted (Poster Presentation)