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On the strict logic foundation of fuzzy reasoning

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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 K ms * 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.

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  1. D. W. Pei

    Present address: Research Center for Science, Xi’an Jiaotong University, Xi’an, 710049, China

Authors and Affiliations

  1. Department of Mathematics, Yancheng Teachers College, Yancheng, 224002, China

    D. W. Pei

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  1. D. W. Pei
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Correspondence to D. W. Pei.

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The author is indebted to anonymous referee for his useful comments which have helped to improve the paper.

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Pei, D. On the strict logic foundation of fuzzy reasoning. Soft Computing 8, 539–545 (2004). https://doi.org/10.1007/s00500-003-0312-0

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  • DOI: https://doi.org/10.1007/s00500-003-0312-0

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