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In the present paper, the resolution method for a linguistic propositional logic with truth value in a logical algebra -refined hedge algebra, is focused. The preliminaries of refined hedge algebra are given first. Then the syntax and semantic of linguistic propositional are defined. Finally, a resolution method which based on resolution principle in two-valued logic is established. Accordingly, the research in this paper will be helpful support for the application of intelligent reasoningdoi:10.14569/ijacsa.2016.070191 fatcat:icshskuajfhevfm3z4cjk43cru