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Based on the analysis of the constructions of T-conclusion by means of deduction theorems, completeness theorems and the theory of truth degree of formulas, the present papers introduces the concept of membership degree of formulas A is a consequence of T (T-conclusion) in Lukasiewicz fuzzy propositional logic system, Godel fuzzy propositional logic system and the R0 fuzzy propositional logic system...
By means of theory of truth degrees of formulas, according to deduction theorems and completeness theorems, the new concepts of consistency degrees and polar index for general theories in Lukasewicz fuzzy and n-valued propositional logic systems are introduced. Moreover, sufficient and necessary conditions for a theory Gamma to be consistent, inconsistent and fully divergent are obtained. Finally,...
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