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NORMAL FUZZY PROBABILITY FOR TRAPEZOIDAL FUZZY SETS

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초록

A fuzzy set A de ned on a probability space (\omega, F, P) is called a fuzzy event. Zadeh de nes the probability of the fuzzy event A using the probability P. We de ne the normal fuzzy probability on R using the normal distribution. We calculate the normal fuzzy probability for generalized trapezoidal fuzzy sets and give some examples.

Abstract

A fuzzy set A de ned on a probability space (\omega, F, P) is called a fuzzy event. Zadeh de nes the probability of the fuzzy event A using the probability P. We de ne the normal fuzzy probability on R using the normal distribution. We calculate the normal fuzzy probability for generalized trapezoidal fuzzy sets and give some examples.

참고문헌 (7)

  1. 윤용식, "2차 퍼지수에 대한 정규 퍼지 확률", 한국지능시스템학회 논문지, 15(3), pp.277~281 (2005), 한국지능시스템학회
  2. Y.S. Yun, "Normal fuzzy probability for trigonometric fuzzy number", Journal of applied mathematics and computing, 19(1-2), pp.513~520 (2005)
  3. 이봉주, "The generalized trapezoidal fuzzy sets", 충청수학회지, 24(2), pp.253~266 (2011), 충청수학회
  4. 강철, "일반화된 삼각퍼지집합에 대한 정규퍼지확률", 한국지능시스템학회 논문지, 22(2), pp.212~217 (2012), 한국지능시스템학회[DOI]
  5. 김창일, "NORMAL FUZZY PROBABILITY FOR GENERALIZED QUADRATIC FUZZY SETS", 충청수학회지, 25(2), pp.217~225 (2012), 충청수학회
  6. L.A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning - I", Information Sciences, 8, pp.199~249 (1975)
  7. L.A. Zadeh, "Probability measures of fuzzy events", J. Math. Anal. Appl, 23, pp.421~427 (1968)

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