Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems
Interval type-2 fuzzy logic systems (IT2 FLSs) have been widely used in many areas. Among which, type-reduction (TR) is an important block for theoretical study. Noniterative algorithms do not involve the complicated iteration process and obtain the system output directly. By discovering the inner r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020494/fulltext.html |
| _version_ | 1818341465384812544 |
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| author | Yang Chen Jinxia Wu Jie Lan |
| author_facet | Yang Chen Jinxia Wu Jie Lan |
| author_sort | Yang Chen |
| collection | DOAJ |
| description | Interval type-2 fuzzy logic systems (IT2 FLSs) have been widely used in many areas. Among which, type-reduction (TR) is an important block for theoretical study. Noniterative algorithms do not involve the complicated iteration process and obtain the system output directly. By discovering the inner relations between discrete and continuous noniterative algorithms, this paper proposes three types of weighted-based noniterative according to the Newton-Cotes quadrature formulas in numerical integration techniques. Moreover, the continuous noniterative algorithms are considered as the benchmarks for computing. Four simulation experiments are provided to illustrate the performances of weighted-based noniterative algorithms for computing the defuzzified values of IT2 FLSs. Compared with the original noniterative algorithms, the proposed weighted-based algorithms can obtain smaller absolute errors and faster convergence speeds under the same sampling rate, which afford the potential values for designing T2 FLSs. |
| first_indexed | 2024-12-13T15:59:13Z |
| format | Article |
| id | doaj.art-6304d24e1f704cccaac269661c097df2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T15:59:13Z |
| publishDate | 2020-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6304d24e1f704cccaac269661c097df22022-12-21T23:39:13ZengAIMS PressAIMS Mathematics2473-69882020-10-01567719774510.3934/math.2020494Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systemsYang Chen0Jinxia Wu1Jie Lan2College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, P. R. ChinaCollege of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, P. R. ChinaCollege of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, P. R. ChinaInterval type-2 fuzzy logic systems (IT2 FLSs) have been widely used in many areas. Among which, type-reduction (TR) is an important block for theoretical study. Noniterative algorithms do not involve the complicated iteration process and obtain the system output directly. By discovering the inner relations between discrete and continuous noniterative algorithms, this paper proposes three types of weighted-based noniterative according to the Newton-Cotes quadrature formulas in numerical integration techniques. Moreover, the continuous noniterative algorithms are considered as the benchmarks for computing. Four simulation experiments are provided to illustrate the performances of weighted-based noniterative algorithms for computing the defuzzified values of IT2 FLSs. Compared with the original noniterative algorithms, the proposed weighted-based algorithms can obtain smaller absolute errors and faster convergence speeds under the same sampling rate, which afford the potential values for designing T2 FLSs.https://www.aimspress.com/article/10.3934/math.2020494/fulltext.htmltype-reductionweighted nagar-bardini algorithmsweighted nie-tan algorithmsweighted begian-melek-mendel algorithmsabsolute errors |
| spellingShingle | Yang Chen Jinxia Wu Jie Lan Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems AIMS Mathematics type-reduction weighted nagar-bardini algorithms weighted nie-tan algorithms weighted begian-melek-mendel algorithms absolute errors |
| title | Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems |
| title_full | Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems |
| title_fullStr | Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems |
| title_full_unstemmed | Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems |
| title_short | Study on weighted-based noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems |
| title_sort | study on weighted based noniterative algorithms for centroid type reduction of interval type 2 fuzzy logic systems |
| topic | type-reduction weighted nagar-bardini algorithms weighted nie-tan algorithms weighted begian-melek-mendel algorithms absolute errors |
| url | https://www.aimspress.com/article/10.3934/math.2020494/fulltext.html |
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