대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제28권3호
  • /
  • Pages.635-642
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  • 2013
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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PARAMETRIC OPERATIONS FOR TWO FUZZY NUMBERS

  • Byun, Jisoo (Department of Mathematics Education Kyungnam University) ;
  • Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences Jeju National University)
  • 투고 : 2012.07.20
  • 발행 : 2013.07.31
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초록

There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two ${\alpha}$-cuts. In this paper, we define parametric operations between two ${\alpha}$-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.

키워드

참고문헌

  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, J. Chungcheong Math. Soc. 22 (2009), no. 2, 161-170. https://doi.org/10.5391/JKIIS.2012.22.2.212
  3. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning. I, Inform. Sci. 8 (1975), 199-249. https://doi.org/10.1016/0020-0255(75)90036-5
  4. H. J. Zimmermann, Fuzzy Set Theory-and Its Applications, Kluwer-Nijhoff Publishing, 1985.

피인용 문헌

  1. Zadeh's extension principle for 2-dimensional triangular fuzzy numbers vol.25, pp.2, 2015, https://doi.org/10.5391/JKIIS.2015.25.2.197