International Journal of Mathematics Trends and Technology
Volume 67 | Issue 5 | Year 2021 | Article Id. IJMTT-V67I5P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I5P504
Rough sets and fuzzy sets are two different but complementary concepts that provide effective mathematical tools for handling imperfect information. Their hybrid form, namely, fuzzy rough sets are very useful in dealing with real world data that involve vagueness and indiscernibility. In this paper, fuzzy rough approximations of a fuzzy set in a fuzzy approximation space are defined using normalized fuzzy divergence measures and their properties are investigated. Also, it is proved that the present approach is a generalization of both the Pawlak’s rough set approach and the fuzzy rough set approach. Moreover, the proposed definition gives better approximations to a set than the original fuzzy rough approximations.
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T. K. Sheeja, A. Sunny Kuriakose, "Fuzzy Rough Approximations: A Novel Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 5, pp. 33-39, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I5P504
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