Abstract

The linguistic hedge in the truth value of a proposition can strengthen or weaken the degree of the truth value. The truth value of a proposition is not exactly true or false. Three kinds of qualitative values of the hedge variable and their qualitative operations are presented. The truth value of a proposition with linguistic hedge has six qualitative values: T+, T, T-, F-, F+. Based on the lattice implication algebra, six linguistic truth-valued propositional logic system based on the lattice implication is introduced. Its soft-resolution method is discussed to deal with the linguistic hedge

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