m-polar fuzzy graph representation of concept lattice

•A method is introduced to represent the data with m-polar information in the formal context.•An elicit link between m-polar fuzzy set, m-polar fuzzy graph and concept lattice has been established for knowledge processing tasks.•An algorithm is proposed for generating the m-polar formal fuzzy concepts using their subset.•Another algorithm is proposed to analyze the m-polar formal fuzzy concepts based on their object set and attribute set using projection.•One application of the proposed algorithms is also discussed with an illustrative example.

Recently, the calculus of fuzzy concept lattice is studied beyond the three-way fuzzy space ([0,1]3) for precise representation of uncertainty and vagueness in the attributes. However, to dovetail the uncertainty in case of voxel, multi-index or multi-polar information the properties of lattice theory need to be explored in component wise m-polar fuzzy space ([0,1]m). In this case, another problem arises while finding some of the hidden or interested pattern from the given m-polar fuzzy context for the knowledge processing tasks. To conquer this problem, current paper generalizes the mathematical background of concept lattice with m-polar fuzzy sets and its graphical properties. To elicit this objective, two methods are introduced for providing a unified framework based on discovered m-polar formal fuzzy concepts and their projection.

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