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., Lukasiewicz fuzzy logic system Luk, Godel fuzzy logic system God, Product fuzzy logic system Pro and the R0-fuzzy logic system L*. &COPY; 2004 Elsevier B.V. All rights reserved.
consistency degree theory inconsistency divergence degree polar index