In this article, a new idea of m-bipolar fuzzy graph (m-BPFG) is initiated. Further, degree of an edge and total degree of an edge are defined and also determined necessary and sufficient condition under which edge regular m-BPFG and totally edge regular m-BPFG are equivalent.

Problems from real life situations related to multiple agents n  5 and Big data are efficiently solved by Computational Mathematics using N-Dimensional Polar information. This information cannot be well-represented by means of fuzzy matrices or bipolar fuzzy matrices. Therefore, mpolar fuzzy matrix theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these matrices. we proved the properties of m-polar fuzzy matrices by exploiting the binary operations ring sum (  ) and ring subtraction ( ). In addition to this we also extended various operations such as reflexive, irreflexive, maximum and minimum for the idea of m-polar fuzzy matrices.