Three–Way bipolar neutrosophic concept lattice

Abstract

Recently, three–way fuzzy concept lattice and its application have been introduced to characterize the uncertainty and incompleteness in the attribute set based on acceptation, rejection, and uncertain regions. In this process, a problem is addressed in measuring the bipolar attributes for each component of three–way decision space. To deal with this problem, the current chapter proposes a method for precise representation of bipolar information using the properties of bipolar neutrosophic sets. The proposed method also includes a way to discover some of the useful patterns in the given three–way bipolar neutrosophic context based on user required subset of attributes with its graphical visualization. The hierarchical order visualization of generated bipolar neutrosophic concepts and its interpretation are also discussed with an illustrative example.