Bipolar quadripartitioned single valued neutrosophic rough set

Abstract

Here bipolar quadripartitioned single valued neutrosophic rough (BQSVNR) set is introduced. Some
basic set theoretic terminologies like constant BQSVNR set, subsethood of two BQSVNR sets are shown.
Algebraic operations like union, intersection and complement have also been defined. Different types of measure
like similarity measure, quasi similarity measure and distance measures between two BQSVNR sets have been
discussed with their properties. Again various measures of similarity namely distance based similarity measure,
cosine similarity measure, membership function based similarity measure are introduced in this paper. A
medical diagonasis problem has been solved using similarity measure at the end.