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The Extended Operations for Generalized Quadratic Fuzzy Sets

  • Yun, Yong-Sik (Department of Mathematics, Jeju National University) ;
  • Park, Jin-Won (Department of Mathematics Education, Jeju National University)
  • Received : 2010.05.17
  • Accepted : 2010.06.20
  • Published : 2010.08.25

Abstract

The extended algebraic operations are defined by applying the extension principle to normal algebraic operations. And these operations are calculated for some kinds of fuzzy numbers. In this paper, we get exact membership function as a results of calculation of these operations for generalized quadratic fuzzy sets.

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References

  1. A. Kaufmann and M.M. Gupta, Introduction To Fuzzy Arithmetic: Theory and Applications, Van Nostrand Reinhold Co., New York, 1985.
  2. Y.S. Yun, S.U. Ryu and J.W. Park, ”The generalized triangular fuzzy sets,” Journal of the Chungcheong Mathematical Society, vol. 22, no. 2, pp. 161-170, 2009.
  3. H.J. Zimmermann, Fuzzy set Theory-and Its Applications, Kluwer-Nijhoff Publishing, Boston-Dordrecht-Lancaster, 1985.