Generalized Distance and an Example of Fuzzy Metric

Santana, Fagner; Santana, Fabiana T.; Santiago, Regivan H. N.

doi:10.2991/ifsa-eusflat-15.2015.198

Cited by 2 publications

(2 citation statements)

References 11 publications

(8 reference statements)

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“…First of all, the distance between two interval-valued structures is a basic tool for assessing the performance of IBSs-based classification algorithms. From the perspective of interval mathematics or interval computations [32][33], the distance between two interval-valued structures is actually the distance between two interval-valued vectors, in this case, the value of distance should be also an interval value, not be a point value as given in Definition 7 such that IBS can manifest its advantage of impreciseness control over BBA. Therefore, we can further consider the other alternative distances with interval values by using some interval metrics as given in Refs.32-33; Second, when prior diagnosis information is available, one can introduce on-line learning algorithm to optimize the parameter a in the similarity measure such that the updating procedure adapts to the changes of system state.…”

Section: Resultsmentioning

confidence: 99%

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Xu¹,

Zhang²,

Xu³

et al. 2016

IJCIS

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Information fusion methods based on Dempster-Shafer evidence theory (DST) have been widely used in fault diagnosis. In DST-based methods, the monitoring information collected from sensors is modeled as multiple pieces of diagnosis evidence in the form of basic belief assignment (BBA), and Dempster's rule is then used to combine these BBAs to obtain the fused BBA for diagnosis decision making. However, the belief structure with crisp singlevalued belief degrees in BBA may be too coarse to truthfully represent detailed fault information. Moreover, Dempster's rule only uses a static combination process, which is unsuitable for dynamically fusing information collected at different time steps. In order to address these issues, the paper proposes a dynamic diagnosis method based on interval-valued evidential updating. First of all, the diagnosis evidence is constructed as an interval-valued belief structure (IBS), which provides a more informative scheme than BBA to model fault information. Secondly, the proposed evidential updating strategy can generate updated IBS as global diagnosis evidence by updating the previous evidence with the new incoming evidence recursively. Thirdly, the reliability and sensitivity indices are designed to evaluate and compare the performance of the proposed updating strategy with other commonly used strategies. Finally, the effectiveness of the proposed evidential updating strategy is demonstrated through some typical fault experiments of a machine rotor.

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Section: Resultsmentioning

confidence: 99%

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Xu¹,

Zhang²,

Xu³

et al. 2016

IJCIS

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“…Apresentamos a seguir, no Quadro 6, as pesquisas catalogadas no Eixo Temático Conhecimentos Geométricos discutidos na Formação Continuada de Professores de Matemática com o software GeoGebra. Dufrayer (2015); Azevedo (2016); Dias (2015); Werneck (2013); Tibulo (2019); Ramiro (2014); Silva (2011); Santana (2015); Vieira (2016); Leão (2021); Bachir (2017); Lima (2016); Pereira (2015); Rodrigues (2019); Pupo (2013); Santos (2010); Alencar (2012); Stormowski (2015); ; Antunes (2020); ; Andrade (2017); Santiago (2021);Honorato (2018).…”

Section: Quadro 4 -Pesquisas De Conhecimentos Numéricos -Formação Ini...unclassified

Software GeoGebra nos processos formativos dos professores de Matemática:

Rodrigues

Azevedo

2022

IGISP

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Este artigo apresenta os resultados de uma pesquisa bibliográfica que objetivou investigar as produções acadêmicas de dissertações e teses defendidas nos programas de pós-graduação stricto sensu no Brasil relacionadas ao software GeoGebra para os processos formativos dos professores de Matemática. Desta maneira, a questão norteadora que direcionou esta investigação foi: O que revelam as pesquisas acadêmicas (dissertações e teses) desenvolvidas no Brasil envolvendo o software GeoGebra para processos formativos dos professores de Matemática? Visando delinear compreensões a respeito do objetivo da pesquisa, utilizamos a pesquisa qualitativa, na modalidade de Estado do Conhecimento. Os dados da pesquisa foram coletados nas seguintes bases de dados: i) Biblioteca Digital de Teses e Dissertações (BDTD); ii) Catálogo de Teses e Dissertações da Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES). O corpus da pesquisa foi constituído por 140 pesquisas, sendo 124 dissertações de mestrado e 16 teses de doutorado envolvendo o software GeoGebra num contexto relacionado aos processos formativos dos professores de Matemática.

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Generalized Distance and an Example of Fuzzy Metric

Cited by 2 publications

References 11 publications

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Software GeoGebra nos processos formativos dos professores de Matemática:

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