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Consistency Degrees of Theories in n-Valued Gödel Logical System

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Advanced Research on Computer Science and Information Engineering (CSIE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 152))

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Abstract

Based on the truth degrees of formulas and the deviations of theories defined by Hausdorff metric, the present paper introduced a new concept of consistency degrees of theories in n-valued Gödel logical system. Sufficient and necessary conditions for theories being consistent or inconsistent are given. The new index provided in the present paper can also be used to grade the consistency degrees of general theories in fuzzy logic systems.

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References

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Author information

Authors and Affiliations

  1. School of Science, Lanzhou University of Technology, Lanzhou, 730050, China

    Jun Li & Haiya Li

Authors
  1. Jun Li
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  2. Haiya Li
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Editor information

Editors and Affiliations

  1. Wuhan University of Science and Technology, Zhongnan Branch, No.18, Jiangxia Road, Wuhan, China

    Gang Shen

  2. International Science & Education Researcher Association, Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Xiong Huang

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, J., Li, H. (2011). Consistency Degrees of Theories in n-Valued Gödel Logical System. In: Shen, G., Huang, X. (eds) Advanced Research on Computer Science and Information Engineering. CSIE 2011. Communications in Computer and Information Science, vol 152. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21402-8_37

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  • DOI: https://doi.org/10.1007/978-3-642-21402-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21401-1

  • Online ISBN: 978-3-642-21402-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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