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Issue:Approximate solutions preserving parameters of intuitionistic fuzzy linear systems

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http://ifigenia.org/wiki/issue:nifs/17/1/58-70
Title of paper: Approximate solutions preserving parameters of intuitionistic fuzzy linear systems
Author(s):
Adrian Ban
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
aiban@uoradea.ro
Lucian Coroianu
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
lcoroianu@uoradea.ro
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2010) Number 1, pages 58—70
Download:  PDF (179  Kb, File info)
Abstract: We prove that, under some conditions, we obtain the same solution if we simplify the input data or the output data in an intuitionistic fuzzy linear system. A very recent result of approximation of intuitionistic fuzzy numbers starting from the approximation of fuzzy numbers is very useful to give few illustrative examples.
Keywords: Fuzzy number, Intuitionistic fuzzy number, Approximation, Linear system
References:
  1. Abbasbandy S., Hajjari T. (2010) Weighted trapezoidal approximation-preserving cores of a fuzzy number, Computers and Mathematics with Applications, 59, 3066-3077.
  2. Atanassov K.T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
  3. Atanassov K.T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, New York.
  4. Ban A.I. (2006) Nearest interval approximation of an intuitionistic fuzzy number, Computational Intelligence, Theory and Applications (B. Reusch, Ed.), Springer, pp. 229-240.
  5. Ban A. (2008) Approximation of intuitionistic fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Volume I: Foundations (Krassimir T. Atanassov, Oligierd Hryniewicz, Janusz Kacprzyk, Maciej Krawczak, Eulalia Szmidt, Eds.), Academic House Exit, Warszawa, pp. 53-83.
  6. Ban A. (2008) Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Fuzzy Sets and systems, 159, 1327-1344.
  7. Ban A. (2009) On the nearest parametric approximation of a fuzzy number-Revisited, Fuzzy Sets and Systems, 160, 3027-3047.
  8. Ban A., Coroianu L. (2009) Continuity and additivity of the trapezoidal approximation preserving the expected interval operator, International Fuzzy Systems Association World Congress, Lisboa 2009, pp. 798-802.
  9. A.I. Ban, L.C. Coroianu, Approximations of intuitionistic fuzzy numbers generated from approximations of fuzzy numbers, Tenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, Warsaw 2010.
  10. Ban A., Brândaş A., Coroianu L., Negruţiu C., Nica O. (2011) Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value, Computers and Mathematics with Applications, 61, 1379-1401.
  11. Bodjanova S. (2005) Median value and median interval of a fuzzy number, Information Sciences, 172, 73-89.
  12. Chanas S. (2001) On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122, 353-356.
  13. Delgado M., Vila M.A., Voxman W. (1998) On a canonical representation of a fuzzy number, Fuzzy Sets and Systems, 93, 125-135.
  14. Grzegorzewski P. (1998) Metrics and orders in space of fuzzy numbers, Fuzzy Sets and Systems, 97, 83-94.
  15. Grzegorzewski P. (2008) New algorithms for trapezoidal approximation of fuzzy numbers preserving the expected interval, Proc. Information processing and Management of Uncertainty in Knowledge-Based System Conf. (L. Magdalena, M. Ojeda, J.L. Verdegay, Eds.), Malaga 2008, pp.117-123.
  16. Heilpern S. (1992) The expected value of a fuzzy number, Fuzzy Sets and Systems, 47, 81-86.
  17. Yeh C.-T. (2008) On improving trapezoidal and triangular approximations of fuzzy numbers, International Journal of Approximate Reasoning, 48, 297-313.
  18. Yeh C.-T. (2009) Weighted trapezoidal and triangular approximations of fuzzy numbers, Fuzzy Sets and Systems, 160, 3059-3079.
  19. Yeh C.-T. (2011) Weighted semi-trapezoidal approximations of fuzzy numbers, Fuzzy Sets and Systems, 165, 61-80.
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