Journal of Guangdong University of Technology ›› 2007, Vol. 24 ›› Issue (1): 74-76.

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Note on “Nearest Interval Approximation of a Fuzzy Number”

  

  1. (1.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China;2.Faculty of Electromechanical Engineering,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2007-02-01 Published:2007-02-01

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Abstract: A method is discussed about the interval approximation of a fuzzy number,published by P.Grzegorzewski in Fuzzy Sets and System.It is demonstrated with examples that there are some serious mistakes in the method.

Key words: fuzzy number； interval approximation； interval set；

[1] S K Pal,D K Dutta Majumder.Fuzzy Mathematical Ap-proach to Pattern Recognition. . 1987

[2] P Grzegorzewski.Nearest interval approximation of a fuzzynumber. Fuzzy Sets and Systems . 2002

[3] K Chakrabarty,R Biswas,S Nanda.Nearest ordinary set of afuzzy set:a rough theoretic construction. Bull PolishAcad Sci . 1998

[4] A.Kaufmann.Introduction to the Theory of Fuzzy Subsets. . 1975

[5] D Dubois,H Prade.Operations on fuzzy numbers. Int jSyst Sci . 1978

[6] A Kandel.Fuzzy Techniques in Pattern Recognition. . 1982

[7] J J Buckley,S Chanas.A fast method of ranking alternativesusing fuzzy numbers. Fuzzy Sets and Systems . 1998

[8] J J Buckley.Ranking alternatives using fuzzy numbers. Fuzzy Sets and Systems . 1985
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