2008 International Conference on Computational Intelligence and Security 2008
DOI: 10.1109/cis.2008.211
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Membership Functions Generation Based on Density Function

Abstract: Fuzzy membership functions are considered as a key element in fuzzy systems. In order to generate a fuzzy membership function, there are two potential sources: expert knowledge and real data. However expert knowledge acquisition is a difficult issue, on the other hand using real data needs a methodology to translate real data to membership function. Most previous approaches considered membership function design highly dependent of fuzzy rule base and require the specification of membership functions' number. T… Show more

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Cited by 20 publications
(6 citation statements)
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“…However, acquiring expert knowledge is a challenging task. In this paper, the parameters are defined based on the statistics of the real dataset, in which for each membership function, a clustering algorithm (k-means) is defined, and the upper bound and lower bound values of the clusters are considered the values of the membership functions [47]. It is also worth mentioning that parameter tuning is required to find the best values, especially for decision-maker systems [48,49].…”
Section: Methodsmentioning
confidence: 99%
“…However, acquiring expert knowledge is a challenging task. In this paper, the parameters are defined based on the statistics of the real dataset, in which for each membership function, a clustering algorithm (k-means) is defined, and the upper bound and lower bound values of the clusters are considered the values of the membership functions [47]. It is also worth mentioning that parameter tuning is required to find the best values, especially for decision-maker systems [48,49].…”
Section: Methodsmentioning
confidence: 99%
“…Different approaches are proposed by previous researchers for the automatic definition of fuzzy membership functions. The approaches could be based on distance, or on data density which applies self-organizing map for density estimation (Derbel et al (2008)). In this research a fuzzy density clustering method, which is presented by Liu et al (2013) based on the density function of square error is applied to find the clustering center and number of centers is applied for initialization of membership functions.…”
Section: Initialization and Reconfiguration Of Fuzzy Design Parametermentioning
confidence: 99%
“…Figure 3 shows an example of the automated MF formulation for M = 4 regions. To date, automatic approaches for MF formulation, based on machine learning and statistical models, have been proposed to form trapezoidal and Gaussian MFs adaptively [26], [27], [28], [29], [30]. However, these methods were mostly proposed 4 for a specific scenario, system, or dataset [31], [32].…”
Section: A Automatic Formulation Of Membership Functionsmentioning
confidence: 99%