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Issue:On intuitionistic fuzzy sets: Difference between revisions

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  | title          = About the intuitionistic fuzzy set generators
  | title          = On intuitionistic fuzzy sets
  | shortcut        = nifs/3/4/14-20
  | shortcut        = nifs/3/4/14-20
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Revision as of 12:59, 21 July 2009

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Title of paper: On intuitionistic fuzzy sets
Author(s):
Supriya Kumar De
Ranjit Biswas
Akhil Ranjan Roy
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
Presented at: 5th ICIFS, Sofia, 18—19 Oct. 1997
Published in: Conference proceedings, "Notes on IFS", Volume 3 (1997) Number 4, pages 14—20
Download:  PDF (209  Kb, File info)
Abstract: In this paper we define α-cut of an IFS, nearest ordinary set of an IFS, distance between two IFSs, index of intuitionistic fuzziness and study their properties with examples.
Keywords: Fuzzy set, Intuitionistic fuzzy set, α-cut, Nearest ordinary set, Index of intuitionistic fuzziness
References:
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  3. Atanassov, K., More on intuitionistic fuzzy sets, Fuzzy sets and Systems. 33 (1989) 37-46.
  4. Atanassov, K., A universal operator over intuitionistic fuzzy sets, Comptes Rendus de l'Academic Bulgare des Sciences. 46 (1) 1993 13-15.
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  8. Biswas, R., Square zero (2): reducing vagueness in zero (0), to appear in Bull. Pour. Sous. Ens. Flous. Appl. (BUSEFAL).
  9. Biswas, R., Similarity measurements in IFSs, Notes on IFSs, 2(3) (1996) 5-14.
  10. Biswas, R., Intuitionistic fuzzy relations, in Bull. Sous. Ens. Flous. Appl. (BUSEFAL) 70 (1997).
  11. Burillo, P. and Bustince, H., Construction theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems, 84 (1996) 271-281.
  12. Dubois, D. and Prade, H., Twofold fuzzy sets and rough sets: some issues in knowledge representation, Fuzzy Sets and Systems 23 (1987) 3-18.
  13. Dubois, D. and Prade, H., Toll sets and toll logic in fuzzy logic: State of the Art, R. Lowen and M. Roubens eds., Dordrecht: Kluwer Aea. Publisher (to appear).
  14. Goguen, J.A., L-fuzzy sets, Jou. Maths. Anal. Appl. 18 (1967) 145-174.
  15. Hirota, K., Concepts of probabilistic sets, Fuzzy Sets and Systems 5(1) (1981) 31-46.
  16. Mizumto, M. and Tanaka, K., Some properties of fuzzy sets of type 2., Info. and Control. 31 (1976) 312-340.
  17. Zadeh, L.A., Fuzzy sets, Information and Control. 8 (1965) 338-353.
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