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Issue:Trapezoidal approximations of intuitionistic fuzzy numbers expressed by value, ambiguity, width and weighted expected value: Difference between revisions

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  | conference      = 12<sup>th</sup> [[ICIFS]], Sofia, 17—18 May 2008
  | conference      = 12<sup>th</sup> [[ICIFS]], Sofia, 17—18 May 2008
  | issue          =  [[Notes on Intuitionistic Fuzzy Sets/14/1|"Notes on IFS", Volume 14 (2008) Number 1]], pages 38—47
  | issue          =  [[Notes on Intuitionistic Fuzzy Sets/14/1|"Notes on Intuitionistic Fuzzy Sets", Volume 14 (2008) Number 1]], pages 38—47
  | file            = NIFS-14-1-38-47.pdf
  | file            = NIFS-14-1-38-47.pdf
  | format          = PDF
  | format          = PDF

Latest revision as of 11:07, 29 August 2024

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Title of paper: Trapezoidal approximations of intuitionistic fuzzy numbers expressed by value, ambiguity, width and weighted expected value
Author(s):
Adrian Ban
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
aiban@uoradea.ro
Presented at: 12th ICIFS, Sofia, 17—18 May 2008
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 14 (2008) Number 1, pages 38—47
Download:  PDF (103  Kb, File info)
Abstract: Some parameters for intuitionistic fuzzy numbers are introduced: value, ambiguity, width and weighted expected value. Trapezoidal approximation operators given in previous papers are expressed by these parameters.
Keywords: Fuzzy number, Intuitionistic fuzzy number, Trapezoidal fuzzy number, Value, Ambiguity, Width, Expected value
References:
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  2. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96.
  3. K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, New York, 1999.
  4. A. I. Ban, Nearest interval approximation of an intuitionistic fuzzy number, in: B. Reusch (Ed.), Computational Intelligence, Theory and Applications, Springer, 2006, pp. 229-240.
  5. A. Ban, Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Fuzzy Sets and Systems 159 (2008) 1327-1344.
  6. A. Ban, Approximation of intuitionistic fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, submitted.
  7. A. Ban, Approximation of intuitionistic fuzzy numbers by trapezoidal fuzzy numbers, submitted.
  8. S. Chanas, On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122 (2001) 353-356.
  9. M. Delgado, M. A. Vila, W. Voxman, On a canonical representation of a fuzzy number, Fuzzy Sets and Systems 93 (1998) 125-135.
  10. D. Dubois, H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems 24 (1987) 279-300.
  11. P. Grzegorzewski, Metrics and orders in space of fuzzy numbers, Fuzzy Sets and Systems 97 (1998) 83-94.
  12. P. Grzegorzewski, Intuitionistic fuzzy numbers-principles, metrics and ranking, in: K. T. Atanassov, O. Hryniewicz, J. Kacprzyk (Eds.), Soft Computing Foundations and Theoretical Aspects, Academic House Exit, Warszawa, 2004, pp. 235-249.
  13. S. Heilpern, The expected value of a fuzzy number, Fuzzy Sets and Systems 47 (1992) 81-86.
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