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Bag om Fuzzy Probabilities

In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783540250333
  • Indbinding:
  • Hardback
  • Sideantal:
  • 180
  • Udgivet:
  • 11. marts 2005
  • Udgave:
  • 05001
  • Størrelse:
  • 160x15x241 mm.
  • Vægt:
  • 442 g.
  • 8-11 hverdage.
  • 7. december 2024
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Beskrivelse af Fuzzy Probabilities

In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.

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