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...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Heidelberg :
Physica-Verlag HD : Imprint: Physica,
2003.
|
| Έκδοση: | 1st ed. 2003. |
| Σειρά: | Studies in Fuzziness and Soft Computing,
115 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 1 Introduction
- 1.1 Introduction
- 1.2 References
- 2 Fuzzy Sets
- 2.1 Introduction
- 2.2 Fuzzy Sets
- 2.3 Fuzzy Arithmetic
- 2.4 Fuzzy Functions
- 2.5 Finding the Minimum of a Fuzzy Number
- 2.6 Ordering Fuzzy Numbers
- 2.7 Fuzzy Probabilities
- 2.8 Fuzzy Numbers from Confidence Intervals
- 2.9 Computing Fuzzy Probabilities
- 2.10 Figures
- 2.11 References
- 3 Fuzzy Probability Theory
- 3.1 Introduction
- 3.2 Fuzzy Probability
- 3.3 Fuzzy Conditional Probability
- 3.4 Fuzzy Independence
- 3.5 Fuzzy Bayes' Formula
- 3.6 Applications
- 3.7 References
- 4 Discrete Fuzzy Random Variables
- 4.1 Introduction
- 4.2 Fuzzy Binomial
- 4.3 Fuzzy Poisson
- 4.4 Applications
- 4.5 References
- 5 Fuzzy Queuing Theory
- 5.1 Introduction
- 5.2 Regular, Finite, Markov Chains
- 5.3 Fuzzy Queuing Theory
- 5.4 Applications
- 5.5 References
- 6 Fuzzy Markov Chains
- 6.1 Introduction
- 6.2 Regular Markov Chains
- 6.3 Absorbing Markov Chains
- 6.4 Application: Decision Model
- 6.5 References
- 7 Fuzzy Decisions Under Risk
- 7.1 Introduction
- 7.2 Without Data
- 7.3 With Data
- 7.4 References
- 8 Continuous Fuzzy Random Variables
- 8.1 Introduction
- 8.2 Fuzzy Uniform
- 8.3 Fuzzy Normal
- 8.4 Fuzzy Negative Exponential
- 8.5 Applications
- 8.6 References
- 9 Fuzzy Inventory Control
- 9.1 Introduction
- 9.2 Single Period Model
- 9.3 Multiple Periods
- 9.4 References
- 10 Joint Fuzzy Probability Distributions
- 10.1 Introduction
- 10.2 Continuous Case
- 10.3 References
- 11 Applications of Joint Distributions
- 11.1 Introduction
- 11.2 Political Polls
- 11.3 Fuzzy Reliability Theory
- 11.4 References
- 12 Functions of a Fuzzy Random Variable
- 12.1 Introduction
- 12.2 Discrete Fuzzy Random Variables
- 12.3 Continuous Fuzzy Random Variables
- 13 Functions of Fuzzy Random Variables
- 13.1 Introduction
- 13.2 One-to-One Transformation
- 13.3 Other Transformations
- 14 Law of Large Numbers
- 15 Sums of Fuzzy Random Variables
- 15.1 Introduction
- 15.2 Sums
- 16 Conclusions and Future Research
- 16.1 Introduction
- 16.2 Summary
- 16.3 Research Agenda
- 16.4 Conclusions
- List of Figures
- List of Tables.
