Fuzzy Probabilities [electronic resource] : New Approach and Applications / by James J. Buckley.
Tipo de material: TextoSeries Studies in Fuzziness and Soft Computing ; 115 | Studies in Fuzziness and Soft Computing ; 115Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Descripción: XI, 168 p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540323884
- SpringerLink (Online service)
- 006.3 23
- Q334-342
- TJ210.2-211.495
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.
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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