Applied Mathematics & Information Sciences

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This paper studies the linguistic truth value domain (AX) based on finite monotonous hedge algebra and then we extend lukasiewicz algebra on [0; 1] to linguistic lukasiewicz algebra on linguistic truth value domain (AX), in an attempt to propose a general resolution for linguistic many-valued logic based on hedge moving rules and linguistic lukasiewicz algebra for linguistic reasoning. Its theorems of soundness and completeness associated with general resolution are also proved. This reflects the symbolic approach acts by direct reasoning on linguistic truth value domain.

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