A Note on Constructing Fuzzy Homomorphism Map for a Given Fuzzy Formal Context

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 = \( (O_{i} ,P_{j} ,\tilde{R}) \to {\mathbf{D}} = (X_{m} ,Y_{n} ,\tilde{\varphi }) \) for the given fuzzy formal context F where, m ≤ i and n ≤ j. We show that reduced fuzzy concept lattice preserves the generalization and specialization with an illustrative example.

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