Applying fuzzy logic to estimate the parameters of the length-weight relationship
Abstract We evaluated three mathematical procedures to estimate the parameters of the relationship between weight and length for Cichla monoculus: least squares ordinary regression on log-transformed data, non-linear estimation using raw data and a mix of multivariate analysis and fuzzy logic. Our g...
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Instituto Internacional de Ecologia
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Series: | Brazilian Journal of Biology |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1519-69842016000300611&lng=en&tlng=en |
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author | S. D. Bitar C. P. Campos C. E. C. Freitas |
author_facet | S. D. Bitar C. P. Campos C. E. C. Freitas |
author_sort | S. D. Bitar |
collection | DOAJ |
description | Abstract We evaluated three mathematical procedures to estimate the parameters of the relationship between weight and length for Cichla monoculus: least squares ordinary regression on log-transformed data, non-linear estimation using raw data and a mix of multivariate analysis and fuzzy logic. Our goal was to find an alternative approach that considers the uncertainties inherent to this biological model. We found that non-linear estimation generated more consistent estimates than least squares regression. Our results also indicate that it is possible to find consistent estimates of the parameters directly from the centers of mass of each cluster. However, the most important result is the intervals obtained with the fuzzy inference system. |
first_indexed | 2024-12-22T09:10:37Z |
format | Article |
id | doaj.art-125c45855cef4085862a2ee85dd04eb5 |
institution | Directory Open Access Journal |
issn | 1678-4375 |
language | English |
last_indexed | 2024-12-22T09:10:37Z |
publisher | Instituto Internacional de Ecologia |
record_format | Article |
series | Brazilian Journal of Biology |
spelling | doaj.art-125c45855cef4085862a2ee85dd04eb52022-12-21T18:31:26ZengInstituto Internacional de EcologiaBrazilian Journal of Biology1678-437576361161810.1590/1519-6984.20014S1519-69842016000300611Applying fuzzy logic to estimate the parameters of the length-weight relationshipS. D. BitarC. P. CamposC. E. C. FreitasAbstract We evaluated three mathematical procedures to estimate the parameters of the relationship between weight and length for Cichla monoculus: least squares ordinary regression on log-transformed data, non-linear estimation using raw data and a mix of multivariate analysis and fuzzy logic. Our goal was to find an alternative approach that considers the uncertainties inherent to this biological model. We found that non-linear estimation generated more consistent estimates than least squares regression. Our results also indicate that it is possible to find consistent estimates of the parameters directly from the centers of mass of each cluster. However, the most important result is the intervals obtained with the fuzzy inference system.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1519-69842016000300611&lng=en&tlng=enallometric modelCichlafuzzy logicparameter estimation |
spellingShingle | S. D. Bitar C. P. Campos C. E. C. Freitas Applying fuzzy logic to estimate the parameters of the length-weight relationship Brazilian Journal of Biology allometric model Cichla fuzzy logic parameter estimation |
title | Applying fuzzy logic to estimate the parameters of the length-weight relationship |
title_full | Applying fuzzy logic to estimate the parameters of the length-weight relationship |
title_fullStr | Applying fuzzy logic to estimate the parameters of the length-weight relationship |
title_full_unstemmed | Applying fuzzy logic to estimate the parameters of the length-weight relationship |
title_short | Applying fuzzy logic to estimate the parameters of the length-weight relationship |
title_sort | applying fuzzy logic to estimate the parameters of the length weight relationship |
topic | allometric model Cichla fuzzy logic parameter estimation |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1519-69842016000300611&lng=en&tlng=en |
work_keys_str_mv | AT sdbitar applyingfuzzylogictoestimatetheparametersofthelengthweightrelationship AT cpcampos applyingfuzzylogictoestimatetheparametersofthelengthweightrelationship AT cecfreitas applyingfuzzylogictoestimatetheparametersofthelengthweightrelationship |