A kind of intuitionistic fuzzy logic system LP(S) based on linguistic truth-valued intuitionistic fuzzy algebra is proposed in this paper. The linguistic truth-valued intuitionisitic fuzzy algebra comes from the linguistic truth-valued implication algebra which is fit to express both comparable and incomparable information. The method can deal with the uncertain problem which has both positive evidence and negative evidence at the same time. Some axioms and reasoning rules of linguistic truth-valued intuitionistic fuzzy propositional logic are discussed. The proofs and theorems are also obtained.
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