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Issue:On intuitionistic fuzzy sets: Difference between revisions

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  | author          = Supriya Kumar De
  | author          = Supriya Kumar De
  | institution    =  
  | institution    = Department of Mathematics, Indian Institute of Technology
  | address        =  
  | address        = Kharagpur - 721302, West Bengal, India
 
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  | author          = Ranjit Biswas
  | author          = Ranjit Biswas
  | institution    =  
  | institution    = Department of Mathematics, Indian Institute of Technology
  | address        =  
  | address        = Kharagpur - 721302, West Bengal, India
 
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  | conference      = 5<sup>th</sup> [[ICIFS]], Sofia, 18—19 Oct. 1997
  | conference      = 1<sup>st</sup> [[ICIFS]], Sofia, 18—19 Oct. 1997
  | issue          = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/03/4|"Notes on IFS", Volume 3 (1997) Number 4]], pages 14—20
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/03/4|"Notes on Intuitionistic Fuzzy Sets", Volume 3 (1997) Number 4]], pages 14—20<br />''Mistakenly republished in the conference proceedings of the 2<sup>nd</sup> [[ICIFS]], Sofia, 3—4 Oct. 1998 in  [[Notes on Intuitionistic Fuzzy Sets/04/2|"Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998) Number 2]], pages 28—33''
  | file            = NIFS-03-4-14-20.pdf
  | file            = NIFS-03-4-14-20.pdf
  | format          = PDF
  | format          = PDF

Latest revision as of 11:02, 29 August 2024

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http://ifigenia.org/wiki/issue:nifs/3/4/14-20
Title of paper: On intuitionistic fuzzy sets
Author(s):
Supriya Kumar De
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
Ranjit Biswas
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
Akhil Ranjan Roy
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
Presented at: 1st ICIFS, Sofia, 18—19 Oct. 1997
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 3 (1997) Number 4, pages 14—20
Mistakenly republished in the conference proceedings of the 2nd ICIFS, Sofia, 3—4 Oct. 1998 in "Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998) Number 2, pages 28—33
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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  2. Atanassov, K., Two operators on intuitionistic fuzzy sets, Comptes Rendus de l'Academic Bulgare des Sciences 41(5) (1988) 35-38.
  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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