Journal of applied mathematics & informatics

  • 제5권1호
  • /
  • Pages.153-162
  • /
  • 1998
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON THE LIMITS OF SUMS OF FUZZY NUMBERS

  • 발행 : 1998.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

We study limits of sums of fuzzy numbers with different spreads and different shape functions where addition is defined by the sup-t-norm. We show the existence of the limit of the series of fuzzy numbers and prove the uniform continuity of the limit. Finally we investigate a law of large numbers for sequences of fuzzy numbers.

키워드

참고문헌

  1. Fuzzy Sets and Systems v.144 D.Dubois;H.Prade
  2. Fuzzy Sets and Systems v.45 A Law of large numbers for fuzzy numbers R.Fuller
  3. Fuzzy Sets and Systems v.77 A note on the convergence of T-sum series of L-R fuzzy numbers D.H.Hong
  4. Fuzzy Sets and Systems v.77 A law of large numbers for fuzzy numbers in a Banach space D.H.Hong;Y.M.Kim
  5. Stochastic Convergence(2nd Ed.) E.Lukacs
  6. Topology J.R.Munkres
  7. Fuzzy Sets and Systems v.53 On the convergence of product-sum series of L - R fuzzy numbers E.Triesch
  8. Fuzzy Sets and Systems v.58 Characterization of Archimedian t-norms and a law of large numbers E.Triesch