Consistency degrees of theories in some systems of propositional fuzzy logic

Based on the analysis of relationships among the properties of consistent, inconsistent and fully divergent theories, and by means of the concept of divergence degrees, the present paper proposes a new membership function for reflecting the consistency degrees of general theories in four different types of fuzzy logic systems, i.e., Łukasiewicz fuzzy logic system Luk, Gödel fuzzy logic system Göd, Product fuzzy logic system Pro and the R0-fuzzy logic system L*.