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Issue:Rough sets on intuitionistic fuzzy approximation spaces

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Title of paper: Rough sets on intuitionistic fuzzy approximation spaces
Author(s):
B.K.Tripathy
Department of Computer Science, Berhampur University, Berhampur-760007 Orissa, INDIA
tripathybk@rediffmail.com
Published in: "Notes on IFS", Volume 12, 2006, Number 1, pages 45-55
Download:  PDF (72  Kb, File info)
Abstract: The notion of intuitionistic fuzzy approximation space is introduced. Rough sets on such spaces are defined and some of their properties are studied.
Keywords: Rough sets, intuitionistic fuzzy approximation space, intuitionistic fuzzy proximity relation, (α,β)-discernible, (α,β)-rough, and (α, β)-similar.
AMS Classification: 03E72.
References:
  1. Attanasov, K. T.: Intuitionistic fuzzy sets, Fuzzy sets and systems, 20, (1986), pp.87-96.
  2. Dey, S.K.: Some aspects of fuzzy sets, rough sets and intuitionistic fuzzy sets, Ph.D. thesis, I.I.T. Kharagpur, (1999).
  3. Pawlak, Z.: Rough sets, Int. Jour. Inf. and Comp. Sc., 11, (1982), pp.341-356.
  4. Pawlak, Z.: Rough sets, theoretical aspects of reasoning about data, Kluwer Academic Publishers (1991).
  5. Tripathy, B.K.: Rough sets on fuzzy approximation spaces and application to distributed knowledge systems, (Presented at National Mathematical Conference, Burdwan University, India).
  6. Zadeh, L.A.: Fuzzy sets, Information and Control, 8, (1965), pp.338-353.
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