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Partial Valuations and Fuzzy Reasoning

  • Guo-Jun Wang
  • Wei Wang
Chapter
  • 185 Downloads
Part of the The International Series on Asian Studies in Computer and Information Science book series (ASIS, volume 6)

Abstract

This paper introduces the theory of partial valuations and two aspects of its applications. First, the semantic classification of propostions into a-tautologies is obtuse with respect to the prefix a whenever the Gödeps implication operator is adopted, the partial valuation method can be used to refine this classification. Next, the partial valuation method can be used to bring the theory of fuzzy reasoning into logic framework after improving the CRI method to be the Triple I method.

Keywords

Partial valuation Σ-(α-tautology) fuzzy modus ponens CRI method Triple I method 

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References

  1. Wang, Guojun. On the logic foundation of fuzzy reasoning. Lecture Notes in Fuzzy Mathematics and Computer Science, Creighton University, Omaha 1997, 4(1): 1–48.Google Scholar
  2. Wang, Guojun. Theory of Σ-(α-tautologies) in revised Kleene systems. Science in China, series E 1998, 41(2): 188–195.MathSciNetCrossRefGoogle Scholar
  3. Zadeh, L A. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Systems, Man and Cybernetics 1973, 3(1): 28–44.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Guo-Jun Wang
    • 1
  • Wei Wang
    • 2
  1. 1.Shanxi Normal UniversityXi’anChina
  2. 2.Shanxi Economics and Trade InstituteXi’anChina

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