Fuzzy Rough Approximations: A Novel Approach

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-5
Year of Publication : 2021
Authors : Sheeja T. K., Sunny Kuriakose A.
  10.14445/22315373/IJMTT-V67I5P504

MLA

MLA Style: Sheeja T. K., Sunny Kuriakose A.  "Fuzzy Rough Approximations: A Novel Approach" International Journal of Mathematics Trends and Technology 67.5 (2021):33-39. 

APA Style: Sheeja T. K., Sunny Kuriakose A.(2021). Fuzzy Rough Approximations: A Novel Approach International Journal of Mathematics Trends and Technology, 33-39.

Abstract
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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Keywords : Approximations, Rough set, Fuzzy set, Divergence Measure, Fuzzy Rough Set.