Granular logic with closeness relation "∼λ" and its reasoning

  • Authors:

  • Qing Liu;Qianying Wang

  • Affiliations:

  • Department of Computer Science, Nanchang University, Nanchang, Jiangxi, China;Department of Information Science, Nanchang University, Nanchang, Jiangxi, China

  • Venue:
  • RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
  • Year:
  • 2005

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Abstract

Significance of granular logic, including the operational rules, studying background, is presented in this paper. This closeness relation $``\sim_{\lambda}"$ is quoted in granular logic,and the closeness relation $``\sim_{\lambda}"$ quoted in granular logic is defined via logical truth values. Hence, we induce several new relative properties and inference rules in the granular logic with the closeness relation. The granular logical reasoning systems with the closeness relation $``\sim_{\lambda}"$ are also established. And this paper proves a few real examples by deductive reasoning in the systems. Significance of granular logic with closeness relation ~λ is also described in the paper.