Abstract
We present a formalization of fuzzy logic based on Zadeh's implication operator a→b=max{1-a, b}. Our logical system allows the specification of both lower and upper bounds of the truth value of a formula. We present a specific system of axioms and inference rules which are both sound and complete. We also provide a generalization of the classical resolution method which acts as a decision procedure in a finite fuzzy theory.
Work supported in part by NSF Grant IRI-9409370 and LEQSF Grant LEQSF(RF/1995–97)-RD-A-37.
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© 1996 Springer-Verlag Berlin Heidelberg
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Chen, J., Kundu, S. (1996). A sound and complete fuzzy logic system using Zadeh's implication operator. In: Raś, Z.W., Michalewicz, M. (eds) Foundations of Intelligent Systems. ISMIS 1996. Lecture Notes in Computer Science, vol 1079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61286-6_148
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DOI: https://doi.org/10.1007/3-540-61286-6_148
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