Fuzzy Probabilities New Approach and Applications /

• Main Author: Buckley, James J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Studies in Fuzziness and Soft Computing, 115
• Subjects: Mathematics.; Artificial intelligence.; Probabilities.; Probability Theory and Stochastic Processes.; Artificial Intelligence (incl. Robotics).

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...

Table of Contents:

• Fuzzy Sets
• Fuzzy Probability Theory
• Discrete Fuzzy Random Variables
• Fuzzy Queuing Theory
• Fuzzy Markov Chains
• Fuzzy Decisions Under Risk
• Continuous Fuzzy Random Variables
• Fuzzy Inventory Control
• Joint Fuzzy Probability Distributions
• Applications of Joint Distributions
• Functions of a Fuzzy Random Variable
• Functions of Fuzzy Random Variables
• Law of Large Numbers
• Sums of Fuzzy Random Variables
• Conclusions and Future Research.