Fuzzy graph representation of a fuzzy concept lattice

Authors:
Partha Ghosh;Krishna Kundu;Debasis Sarkar
Affiliations:
Department of Mathematics, Haldia Government College, P.O. Debhog, Dist. Purba Medinipur, West Bengal 721657, India and Department of Applied Mathematics, University of Calcutta, 92, A.P.C Road, K ...;Department of Applied Mathematics, University of Calcutta, 92, A.P.C Road, Kolkata 700009, India;Department of Applied Mathematics, University of Calcutta, 92, A.P.C Road, Kolkata 700009, India
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

In this paper, we present a new relationship between fuzzy concept lattice and fuzzy graph. Given a fuzzy binary relation, we define an underlying fuzzy graph, and establish a new relation between the set of elements of the fuzzy concept lattice built from the fuzzy relation and the set of minimal disconnections of the associated fuzzy graph. This link is important from the point of view of application and computation.