A note on bipolar fuzzy graph representation of concept lattice

Abstract

Formal concept analysis (FCA) is a mathematical model based on lattice theory. FCA is successfully extended from crisp setting to fuzzy setting as well as interval-valued fuzzy setting. These extensions of fuzzy set define the data in the unipolar space and lack in representing bipolarity. However, bipolar fuzzy set represents the positive and negative information simultaneously. This extension has been applied recently in lattice theory, graph theory and in FCA as well. In this paper, we focus on introducing the link between bipolar fuzzy graph and concept lattice.