Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE ONE-SIDED QUADRANGULAR FUZZY SETS

  • Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences Jeju National University) ;
  • Lee, Bongju (Department of Mathematics Education Kyungpook National University)
  • Received : 2012.11.29
  • Accepted : 2013.01.11
  • Published : 2013.05.15
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Abstract

We define one-sided quadrangular fuzzy sets, a left quadrangular fuzzy set and a right quadrangular fuzzy set. And then we generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two one-sided quadrangular fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two one-sided quadrangular fuzzy sets becomes a triangular fuzzy number.

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References

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  2. Y. S. Yun, S. U. Ryu, and J. W. Park, The generalized triangular fuzzy sets, Journal of the Chungcheong Mathematical Society 22 (2009), no. 2, 161-170.
  3. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, I Information Sciences 8 (1975), 199-249. https://doi.org/10.1016/0020-0255(75)90036-5
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