Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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NORMAL FUZZY PROBABILITY FOR GENERALIZED QUADRATIC FUZZY SETS

  • Kim, Changil (Department of Mathematics Education Dankook University) ;
  • Yun, Yong Sik (Department of Mathematics Jeju National University)
  • Published : 2012.05.15
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Abstract

A generalized quadratic fuzzy set is a generalization of a quadratic fuzzy number. Zadeh defines the probability of the fuzzy event using the probability. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. And we calculate the normal fuzzy probability for generalized quadratic fuzzy sets.

Keywords

References

  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, J. C. Song and J. W. Park, Normal fuzzy probability for quadratic fuzzy number, Journal of fuzzy logic and intelligent systems 15 (2005), no. 3, 277-281. https://doi.org/10.5391/JKIIS.2005.15.3.277
  3. Y. S. Yun and J. W. Park, The extended operations for generalized quadratic fuzzy sets, Journal of Fuzzy Logic and Intelligent System 20 (2010), no. 4, 592-595.
  4. H. J. Zimmermann, Fuzzy set Theory - and Its Applications, Kluwer-Nijhoff Publishing, Boston-Dordrecht-Lancaster, 1985.
  5. L. A. Zadeh, The concept of a linguistic variable and its application to approx- imate reasoning - I, Information Sciences 8 (1975), 199-249. https://doi.org/10.1016/0020-0255(75)90036-5
  6. L. A. Zadeh, Probability measures of fuzzy events, J. Math. Anal. Appl. 23 (1968), 421-427. https://doi.org/10.1016/0022-247X(68)90078-4

Cited by

  1. NORMAL FUZZY PROBABILITY FOR TRAPEZOIDAL FUZZY SETS vol.29, pp.3, 2013, https://doi.org/10.7858/eamj.2013.018