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Issue:A method to obtain trapezoidal approximations of intuitionistic fuzzy numbers from trapezoidal approximations of fuzzy sets

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Title of paper: A method to obtain trapezoidal approximations of intuitionistic fuzzy numbers from trapezoidal approximations of fuzzy sets
Author(s):
Adrian Ban
Department of Mathematics and Informatics, University of Oradea, Universitâţii 1, 410087 Oradea, Romania
aiban@uoradea.ro
Lucian Coroianu
Department of Mathematics and Informatics, University of Oradea, Universitâţii 1, 410087 Oradea, Romania
lcoroianu@uoradea.ro
Presented at: 13th ICIFS, Sofia, 9-10 May 2009
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 15 (2009) Number 1, pages 1—12
Download:  PDF (162  Kb, File info)
Abstract: The well-known Karush-Kuhn-Tucker theorem can be used, as in the fuzzy case, to find the trapezoidal approximation of a given intuitionistic fuzzy number. The method is quite technical such that obtaining the trapezoidal approximation of an intuitionistic fuzzy numbers from the trapezoidal approximation of a fuzzy number is proposed in the present paper. Among the advantages of this method is the immediate extension of important properties in fuzzy case to intuitionistic fuzzy case.
Keywords: Fuzzy number, Intuitionistic fuzzy number, Trapezoidal fuzzy number
References:
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  3. 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.
  4. A. I. Ban, Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Fuzzy Sets and Systems 159 (2008) 1327-1344.
  5. A. I. Ban, Approximation of intuitionistic fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, submitted.
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  10. C.-T. Yeh, On improving trapezoidal and triangular approximations of fuzzy numbers, International Journal of Approximate Reasoning 48 (2008) 297-313.
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