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.
- ISBN:
- 9783540250333
- 9783540250333
-
Category:
- Computer science
- Format:
- Hardback
- Publication Date:
-
11-03-2005
- Language:
- English
- Publisher:
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Country of origin:
- Germany
- Pages:
- 168
- Dimensions (mm):
- 235x155x12mm
- Weight:
- 0.45kg
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