On the Nearness Measures of Near Sets
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.
KeywordsPerceptual system Near set Rough set Nearness measure Strong nearness relation
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).
- 2.Gupta, S., Patnaik, K.: Enhancing performance of face recognition systems by using near set approach for selecting facial features. J. Theor. Appl. Inf. Technol. 4(5), 433–441 (2008)Google Scholar
- 5.Henry C., Peters J.: Near set image segmentation quality index. In: GEOBIA 2008 Pixels, Objects, Intelligence. Geographic Object Based Image Analysis for the 21th Century, pp. 1–16. University of Calgary, Alberta (2008)Google Scholar
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