Abstract
The theory of concept lattice is approached from the view of formal logic. In this paper, we present a new relationship between concept lattice and lattice-valued logic for dealing with uncertainty linguistic information conveniently. We give the definition of δ − degree linguistic truth-valued concept lattice and linguistic many-valued context according to the concrete linguistic information and establish linguistic truth-valued context with the help of lattice implication algebra. On the basis of this, we discuss the completeness of the set of δ − degree concepts in accordance with the defined Galois connection and do further research on the properties of δ − degree linguistic truth-valued concept lattice.
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