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

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 258)

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 = \( (O_{i} ,P_{j} ,\tilde{R}) \to {\mathbf{D}} = (X_{m} ,Y_{n} ,\tilde{\varphi }) \) 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.

Keywords

Formal concept analysis Fuzzy concept lattice Fuzzy relation Fuzzy homomorphism Fuzzy graph 

Notes

Acknowledgments

Authors sincerely acknowledge the financial support from NBHM, DAE, Govt. of India under the grant number 2/48(11)/2010-R&D II/10806.

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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.School of Information Technology and EngineeringVIT UniversityVelloreIndia

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