On Intuitionistic Fuzzy Rough Sets

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Published: Jun 20, 2017
DOI: https://doi.org/10.26483/ijarcs.v8i5.3423
Keywords:
Approximations, Rough Set, Fuzzy Approximation Space, Intuitionistic Fuzzy Set, Intuitionistic Fuzzy Rough Set.

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Sheeja T K
Assistant Professor Department of Mathematics T. M. Jacob Memorial Government College Manimalakunnu Kerala, India
Sunny Kuriakose A
Professor and Dean Federal Institute of Science and Technology Ankamaly, Kerala India

Abstract

Rough set theory, fuzzy set theory and Intuitionistic fuzzy set theory deal with sets having imprecise boundaries. The contemporary concern about unravelling hidden knowledge from imperfect data and incomplete information systems has lead to many hybrid theories which combine rough set theory with fuzzy set theory and intuitionistic fuzzy set theory. In this paper, a new type of intuitionistic fuzzy rough set is introduced by extending the definition of fuzzy rough sets proposed by A. Nakamura, into the intuitionistic fuzzy context. The properties of these approximations are explored. A decomposition theorem for the proposed intuitionistic fuzzy rough lower and upper approximations is presented. Further, it is proved that they coincide with Pawlak's rough set approximations in the crisp case.

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Vol. 8 No. 5 (2017): May-June 2017
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