A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set
This paper presents two new algorithms that speed up the centroid computation of an interval type-2 fuzzy set. The algorithms include precomputation of the main operations and initialization based on the concept of uncertainty bounds. Simulations over different kinds of footprints of uncertainty rev...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2013/158969 |
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| _version_ | 1832564100248371200 |
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| author | Carlos E. Celemin Miguel A. Melgarejo |
| author_facet | Carlos E. Celemin Miguel A. Melgarejo |
| author_sort | Carlos E. Celemin |
| collection | DOAJ |
| description | This paper presents two new algorithms that speed up the centroid computation of an interval type-2 fuzzy set. The algorithms include precomputation of the main operations and initialization based on the concept of uncertainty bounds. Simulations over different kinds of footprints of uncertainty reveal that the new algorithms achieve computation time reductions with respect to the Enhanced-Karnik algorithm, ranging from 40 to 70%. The results suggest that the initialization used in the new algorithms effectively reduces the number of iterations to compute the extreme points of the interval centroid while precomputation reduces the computational cost of each iteration. |
| format | Article |
| id | doaj-art-02b2caa6b7a6428bb7816d51b5316f6a |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-02b2caa6b7a6428bb7816d51b5316f6a2025-02-03T01:11:46ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2013-01-01201310.1155/2013/158969158969A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy SetCarlos E. Celemin0Miguel A. Melgarejo1Laboratorio de Automática e Inteligencia Computacional, Universidad Distrital Francisco Jose de Caldas, Carrera 8 No. 40-62, Piso 7, Bogota, ColombiaLaboratorio de Automática e Inteligencia Computacional, Universidad Distrital Francisco Jose de Caldas, Carrera 8 No. 40-62, Piso 7, Bogota, ColombiaThis paper presents two new algorithms that speed up the centroid computation of an interval type-2 fuzzy set. The algorithms include precomputation of the main operations and initialization based on the concept of uncertainty bounds. Simulations over different kinds of footprints of uncertainty reveal that the new algorithms achieve computation time reductions with respect to the Enhanced-Karnik algorithm, ranging from 40 to 70%. The results suggest that the initialization used in the new algorithms effectively reduces the number of iterations to compute the extreme points of the interval centroid while precomputation reduces the computational cost of each iteration.http://dx.doi.org/10.1155/2013/158969 |
| spellingShingle | Carlos E. Celemin Miguel A. Melgarejo A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set Advances in Fuzzy Systems |
| title | A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set |
| title_full | A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set |
| title_fullStr | A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set |
| title_full_unstemmed | A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set |
| title_short | A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set |
| title_sort | proposal to speed up the computation of the centroid of an interval type 2 fuzzy set |
| url | http://dx.doi.org/10.1155/2013/158969 |
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