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Truth degree and falsity degree of intuitionistic fuzzy proposition are two truth values with linguistic hedge. In this paper, using the framework of linguistic truth-valued propositional logic based on lattice implication algebra, a kind of linguistic truth-valued intuitionistic fuzzy propositional logic is constructed. Some logic properties regarding reasoning are then obtained. Especially, the implication operation of linguistic truth-valued intuitionistic fuzzy propositional logic can be deduced from four times implication of their truth values. Therefore, we can use more information in the process of reasoning and eventually improve the precision of reasoning.

Linguistic Truth-Valued Intuitionistic Fuzzy Propositional Logic Based on LIA