Abstract

AbstractA kind of linguistic truth-valued intuitionistic fuzzy lattice algebra based on the point view of intuitionistic fuzzy set and linguistic truth-valued lattice implication algebra is discussed. As a fundament of linguistic truth-valued intuitionistic fuzzy, some algebra properties are obtained. The result shows that linguistic truth-valued intuitionistic fuzzy lattice algebra is a residual lattice, but it is not MTL-algebra and R 0-algebra.KeywordsLattice implication algebraLinguistic truth-valued intuitionistic fuzzy latticeresidual latticeIntuitionistic fuzzy operation

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