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Truth Degrees Theory and Approximate Reasoning in 3‐Valued Propositional Pre‐Rough Logic

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  • Yingcang Ma
  • Juanjuan Zhang
  • Huan Liu

Abstract

By means of the function induced by a logical formula A, the concept of truth degree of the logical formula A is introduced in the 3‐valued pre‐rough logic in this paper. Moreover, similarity degrees among formulas are proposed and a pseudometric is defined on the set of formulas, and hence a possible framework suitable for developing approximate reasoning theory in 3‐value logic pre‐rough logic is established.

Suggested Citation

  • Yingcang Ma & Juanjuan Zhang & Huan Liu, 2013. "Truth Degrees Theory and Approximate Reasoning in 3‐Valued Propositional Pre‐Rough Logic," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:592738
    DOI: 10.1155/2013/592738
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    References listed on IDEAS

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    1. Leung, Yee & Fischer, Manfred M. & Wu, Wei-Zhi & Mi, Ju-Sheng, 2008. "A rough set approach for the discovery of classification rules in interval-valued information systems," MPRA Paper 77767, University Library of Munich, Germany.
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