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On the Nearness Measures of Near Sets

  • Keyun QinEmail author
  • Bo Li
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9437)

Abstract

In this paper, we focus our discussion on the nearness measures of near set approach. Some existing nearness measure is normalized with its basic properties being discussed. The connections between nearness relations and rough approximations are surveyed. The notions of strong nearness relations with respect to indiscernibility relation and weak indiscernibility relation are introduced. Some new nearness measures with respect to nearness relations and strong nearness relations are presented.

Keywords

Perceptual system Near set Rough set Nearness measure Strong nearness relation 

Notes

Acknowledgements

This work has been supported by the National Natural Science Foundation of China (Grant No. 61473239, 61175044), the Fundamental Research Funds for the Central Universities of China (Grant No. 2682014ZT28) and the Open Research Fund of Key Laboratory of Xihua University (szjj2014-052).

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© Springer International Publishing Switzerland 2015

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Authors and Affiliations

  1. 1.College of MathematicsSouthwest Jiaotong UniversityChengduChina

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