Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete
Karnik-Mendel algorithm involves execution of two independent procedures for computing the centroid of an interval type-2 fuzzy set: the first one for computing the left endpoint of the interval centroid (which is denoted by cl), and the second one for computing its right counterpart (which is denot...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Distrital Francisco José de Caldas
2011-12-01
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| Series: | Ingeniería |
| Subjects: | |
| Online Access: | http://revistas.udistrital.edu.co/ojs/index.php/reving/article/view/3834 |
| _version_ | 1818059188879753216 |
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| author | Omar Salazar Morales José Humberto Serrano Devia José Jairo Soriano Mendez |
| author_facet | Omar Salazar Morales José Humberto Serrano Devia José Jairo Soriano Mendez |
| author_sort | Omar Salazar Morales |
| collection | DOAJ |
| description | Karnik-Mendel algorithm involves execution of two independent procedures for computing the centroid of an interval type-2 fuzzy set: the first one for computing the left endpoint of the interval centroid (which is denoted by cl), and the second one for computing its right counterpart (which is denoted by cr). Convergence of the discrete version of the algorithm to compute the centroid is known, whereas convergence of the continuous version may exhibit some issues. This paper shows that the calculation of cl and cr are really the same problem on the discrete version, and also we describe some problems related with the convergence of the centroid on its continuous version. |
| first_indexed | 2024-12-10T13:12:34Z |
| format | Article |
| id | doaj.art-fa7fbdc42a2d4547a860303db22538ba |
| institution | Directory Open Access Journal |
| issn | 0121-750X 2344-8393 |
| language | Spanish |
| last_indexed | 2024-12-10T13:12:34Z |
| publishDate | 2011-12-01 |
| publisher | Universidad Distrital Francisco José de Caldas |
| record_format | Article |
| series | Ingeniería |
| spelling | doaj.art-fa7fbdc42a2d4547a860303db22538ba2022-12-22T01:47:39ZspaUniversidad Distrital Francisco José de CaldasIngeniería0121-750X2344-83932011-12-0116267783682Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. DiscreteOmar Salazar Morales0José Humberto Serrano Devia1José Jairo Soriano Mendez2Universidad Distrital Francisco José de CaldasUniversidad Distrital Francisco José de CaldasUniversidad Distrital Francisco José de CaldasKarnik-Mendel algorithm involves execution of two independent procedures for computing the centroid of an interval type-2 fuzzy set: the first one for computing the left endpoint of the interval centroid (which is denoted by cl), and the second one for computing its right counterpart (which is denoted by cr). Convergence of the discrete version of the algorithm to compute the centroid is known, whereas convergence of the continuous version may exhibit some issues. This paper shows that the calculation of cl and cr are really the same problem on the discrete version, and also we describe some problems related with the convergence of the centroid on its continuous version.http://revistas.udistrital.edu.co/ojs/index.php/reving/article/view/3834Centroid, Karnik-Mendel algorithm, interval type-2 fuzzy set, recursive algorithm. |
| spellingShingle | Omar Salazar Morales José Humberto Serrano Devia José Jairo Soriano Mendez Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete Ingeniería Centroid, Karnik-Mendel algorithm, interval type-2 fuzzy set, recursive algorithm. |
| title | Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete |
| title_full | Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete |
| title_fullStr | Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete |
| title_full_unstemmed | Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete |
| title_short | Centroid of an Interval Type-2 Fuzzy Set: Continuous vs. Discrete |
| title_sort | centroid of an interval type 2 fuzzy set continuous vs discrete |
| topic | Centroid, Karnik-Mendel algorithm, interval type-2 fuzzy set, recursive algorithm. |
| url | http://revistas.udistrital.edu.co/ojs/index.php/reving/article/view/3834 |
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