A note on constructing fuzzy homomorphism map for a given fuzzy formal context

Abstract

Formal Concept Analysis is a well established mathematical model for data analysis and processing tasks. Computing all the fuzzy formal concepts and their visualization is an important concern for its practical applications. In this process a major problem is how to control the size of concept lattice. For this purpose current study focus on constructing a fuzzy homomorphism map h:F = ðOi; Pj; ~RÞ ! D ¼ ðXm; Yn; ~uÞ for the given fuzzy formal context F where, m B i and n B j. We show that reduced fuzzy concept lattice preserves the generalization and specialization with an illustrative example.