In order to find a more efficient method for constructing a fuzzy concept lattice, This paper applies graph theory to a fuzzy formal context. A fuzzy formal context is represented by a weighted graph. A method for generating all crisp-fuzzy concepts by a weighted graph is proposed and the corresponding algorithm–Algorithm 1 is given in a fuzzy formal context. Through algorithm analysis, it is illustrated that Algorithm 1 is better than some of existed algorithms to obtain crisp-fuzzy concepts in a fuzzy formal context.
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