The Theory of Membership Degree of T-Conclusion in Propositional Fuzzy Logic Systems

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. The condition and related calculations of formulas A being T-conclusion were discussed by extent method. At the same time, some properties of membership degree of formulas A is a T-conclusion were given. We provide its algorithm formulas of membership degree of formulas A is a T-conclusion by the constructions of theory root.