Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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A Zadeh's max-min composition operator for two triangular fuzzy numbers defined on ℝ

  • Received : 2020.08.06
  • Accepted : 2020.10.15
  • Published : 2020.10.31
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Abstract

There are many results for Zadeh's max-min composition operators based on Zadeh's extension principle. We calculate Zadeh's max-min composition operators for two triangular fuzzy numbers defined on ℝ.

Keywords

References

  1. KANG C. , YUN Y. S., A Zadeh's max-min composition operator for two 2-dimensional quadratic fuzzy numbers, Far East Journal of Mathematical Sciences 101(10) (2017), 2185-2193. https://doi.org/10.17654/MS101102185
  2. KIM C., YUN Y. S., Zadeh's extension principle for 2-dimensional triangular fuzzy numbers, Journal of The Korean Institute of Intelligent Systems 25(2) (2015), 197-202. https://doi.org/10.5391/JKIIS.2015.25.2.197
  3. KO H. S., YUN Y. S., Parametric operations between 2-dimensional triangular fuzzy number and trapezoidal fuzzy set, Far East Journal of Mathematical Sciences 102(10) (2017), 2459-2471. https://doi.org/10.17654/MS102102459
  4. LEE B. J., YUN Y. S., The generalized trapezoidal fuzzy sets, Journal of the Chungcheong Mathematical Society 24(2) (2011), 253-266.
  5. YUN Y. S., An algebraic operations for two generalized 2-dimensional quadratic fuzzy sets, Journal of the Chungcheong Mathematical Society 31(4) (2018), 379-386. https://doi.org/10.14403/JCMS.2018.31.1.379
  6. YUN Y. S., PARK J. W., The extended operations for generalized quadratic fuzzy sets, Journal of The Korean Institute of Intelligent Systems 20(4) (2010), 592-595. https://doi.org/10.5391/JKIIS.2010.20.4.592
  7. YUN Y. S., RYU S. U., PARK J. W., The generalized triangular fuzzy sets, Journal of the Chungcheong Mathematical Society 22(2) (2009), 161-170.
  8. H. J. ZIMMERMANN, Fuzzy Set Theory - and Its Applications, Kluwer-Nijhoff Publishing, Boston-Dordrecht-Lancaster, 1985.