4.7 Article

m-polar fuzzy graph representation of concept lattice

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Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engappai.2017.09.011

Keywords

Formal concept analysis; Fuzzy concept lattice; m-polar fuzzy set; m-polar fuzzy graph; m-polar formal fuzzy concept

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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. (C) 2017 Published by Elsevier Ltd.

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