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Some Information Measures for Fuzzy Rough Sets

Some Information Measures for Fuzzy Rough Sets

Omdutt Sharma, Pratiksha Tiwari, Priti Gupta
Copyright: © 2021 |Volume: 10 |Issue: 2 |Pages: 21
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781799862413|DOI: 10.4018/IJFSA.2021040105
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MLA

Sharma, Omdutt, et al. "Some Information Measures for Fuzzy Rough Sets." IJFSA vol.10, no.2 2021: pp.82-102. http://doi.org/10.4018/IJFSA.2021040105

APA

Sharma, O., Tiwari, P., & Gupta, P. (2021). Some Information Measures for Fuzzy Rough Sets. International Journal of Fuzzy System Applications (IJFSA), 10(2), 82-102. http://doi.org/10.4018/IJFSA.2021040105

Chicago

Sharma, Omdutt, Pratiksha Tiwari, and Priti Gupta. "Some Information Measures for Fuzzy Rough Sets," International Journal of Fuzzy System Applications (IJFSA) 10, no.2: 82-102. http://doi.org/10.4018/IJFSA.2021040105

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Abstract

Information theory is a tool to measure uncertainty; these days, it is used to solve various challenging problems that involve hybridization of information theory with the fuzzy set, rough sets, vague sets, etc. In order to solve challenging problems in scientific data analysis and visualization recently, various authors are working on hybrid measures of information theory. In this paper, using the relation between information measures, some measures are proposed for the fuzzy rough set. Firstly, an entropy measure is derived using the fuzzy rough similarity measure, and then corresponding to this entropy measure, some other measures like mutual information measure, joint entropy measure, and conditional entropy measure are also proposed. Some properties of these measures are also studied. Later, the proposed measure is compared with some existing measures to prove its efficiency. Further, the proposed measures are applied to pattern recognition, medical diagnoses, and a real-life decision-making problem for incorporating software in the curriculum at the Department of Statistics.

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