Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE GENERALIZED TRAPEZOIDAL FUZZY SETS

  • Lee, BongJu (Korea Institute for Curriculum and Evaluation) ;
  • Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences, Jeju National University)
  • Received : 2011.03.04
  • Accepted : 2011.05.16
  • Published : 2011.06.30
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Abstract

We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.

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References

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