Fuzzy Concept Lattice Based on Lattice-valued Logic
Yang Xu · Mohu xitong yu shuxue · 2009
From the viewpoint of formal logic,a non-classical logic -lattice-valued logic is introduced into concept lattice. Lattice-valued fuzzy formal context is constructed and the fuzzy relation between attributes and objects is depicted through the lattice structure. The operator pair induced by implication operator is proved to be Galois connection and some relative properties are discussed,furthermore,the construction algorithm is given. The lattice-valued fuzzy concept lattice is a new mathematical tool to deal with problems on vagueness and uncertainty.