On the strict logic foundation of fuzzy reasoning

Authors:
D. W. Pei
Affiliations:
Yancheng Teachers College, Department of Mathematics, 224002, Yancheng and Research Center for Science, Xi’an Jiaotong University, Xi’an, 710049, China
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2004

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Abstract

This paper focuses on the logic foundation of fuzzy reasoning. At first, a new complete first-order fuzzy predicate calculus system K* corresponding to the formal system L* is built. Based on the many-sort system Kms* corresponding to K*, the triple I methods of FMP and FMT for fuzzy reasoning and their consistency are formalized, thus fuzzy reasoning is put completely and rigorously into the logic framework of fuzzy logic.