Fuzzy Probabilities New Approach and Applications
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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Heidelberg
Physica
2003, 2003
|
| Edition: | 1st ed. 2003 |
| Series: | Studies in Fuzziness and Soft Computing
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
| Summary: | 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 |
|---|---|
| Physical Description: | XII, 165 p online resource |
| ISBN: | 9783642867866 |