Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE PENTAGONAL FUZZY NUMBERS

  • Lee, Bongju (Department of Mathematics Education Kyungpook National University) ;
  • Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences Jeju National University)
  • Received : 2014.02.25
  • Accepted : 2014.04.07
  • Published : 2014.05.15
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Abstract

We define the pentagonal fuzzy sets and generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two pentagonal fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two pentagonal fuzzy sets becomes a triangular fuzzy number and give some example.

Keywords

Acknowledgement

Supported by : Jeju National University

References

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  2. B. J. Lee and Y. S. Yun, The one-sided quadrangular fuzzy sets, Journal of the Chungcheong Mathematical Society 26 (2013), no. 2, 297-308. https://doi.org/10.14403/jcms.2013.26.2.297
  3. Y. S. Yun and J. W. Park, The extended operations for generalized quadratic fuzzy sets, Journal of Fuzzy Logic and Intelligent Systems 20 (2010), no. 4, 592-595.
  4. 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
  5. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, II Information Sciences 8 (1975), 301-357. https://doi.org/10.1016/0020-0255(75)90046-8
  6. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, III Information Sciences 9 (1975), 43-80. https://doi.org/10.1016/0020-0255(75)90017-1

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