Title
A Bayesian approach to fuzzy hypotheses testing for the estimation of optimal age for vaccination against measles
Abstract
Fuzzy Bayesian tests were performed to evaluate whether the mother's seroprevalence and children's seroconversion to measles vaccine could be considered as ''high'' or ''low''. The results of the tests were aggregated into a fuzzy rule-based model structure, which would allow an expert to influence the model results. The linguistic model was developed considering four input variables. As the model output, we obtain the recommended age-specific vaccine coverage. The inputs of the fuzzy rules are fuzzy sets and the outputs are constant functions, performing the simplest Takagi-Sugeno-Kang model. This fuzzy approach is compared to a classical one, where the classical Bayes test was performed. Although the fuzzy and classical performances were similar, the fuzzy approach was more detailed and revealed important differences. In addition to taking into account subjective information in the form of fuzzy hypotheses it can be intuitively grasped by the decision maker. Finally, we show that the Bayesian test of fuzzy hypotheses is an interesting approach from the theoretical point of view, in the sense that it combines two complementary areas of investigation, normally seen as competitive.
Year
DOI
Venue
2008
10.1016/j.matcom.2007.08.019
Mathematics and Computers in Simulation
Keywords
Field
DocType
fuzzy approach,fuzzy sets,fuzzy set,linguistic model,simplest takagi-sugeno-kang model,measles,classical bayes test,vaccine,model output,optimal age,bayes test,bayesian approach,epidemiology,fuzzy hypothesis,fuzzy rule-based model structure,fuzzy rule,model result,hypotheses testing,decision maker
Neuro-fuzzy,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics,Machine learning,Fuzzy rule
Journal
Volume
Issue
ISSN
79
1
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Neli Regina Siqueira Ortega1154.26
Eduardo Massad23312.99
Cláudio José Struchiner3113.67