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Linguistic Truth-Valued Intuitionistic Fuzzy Algebra
Li Zou, Xin Xiu, Da Ruan and Yang Xu

Based on 18-element linguistic truth-valued lattice implication algebra LV(9×2), we establish a 45-element linguistic truth-valued intuitionistic fuzzy algebra LI18 and obtain its properties for logic reasoning. The method not only can better express both the comparable information and incomparable information but also can deal with the problem which has both positive evidence and negative evidence at the same time.

Keywords: Linguistic truth value, lattice implication algebra; Intuitionisitic fuzzy set, Linguistic truth-valued intuitionistic fuzzy algebra

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