The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application
The degree of type-1 fuzzy sets membership function cannot express the linguistic variable of a complex problem. The type-2 fuzzy sets as a problem solver such that more fuzziness for constructing membership functions can be handled. Recently, many multi-criteria decision making (MCDM) methods have...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2021
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/6242/ http://eprints.uthm.edu.my/6242/1/J12903_42bbe5894019e4649541f0ec4474c899.pdf |
| _version_ | 1848888754423463936 |
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| author | Sam’an, Muhammad Dasrila, Yosza Muslim, Much Aziz |
| author_facet | Sam’an, Muhammad Dasrila, Yosza Muslim, Much Aziz |
| author_sort | Sam’an, Muhammad |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | The degree of type-1 fuzzy sets membership function cannot express the linguistic variable of a complex problem. The type-2 fuzzy sets as a problem solver such that more fuzziness for constructing membership functions can be handled. Recently, many multi-criteria decision making (MCDM) methods have been expanded using type-2 fuzzy sets. Analytical Hierarchy Process (AHP) is one of the well-known MCDM that can take into account multiple and conflicting criteria at the same time. Our goal is to develop an interval type-2 trapezoidal fuzzy AHP through the new proposed ranking i.e. the modified total integral value. Based on the illustrative examples for trapezoidal type-2 fuzzy sets, the new proposed ranking has a well-performance in ranking. Furthermore, we apply the new trapezoidal type-2 fuzzy AHP to a supplier selection problem. Based on the results of the application, the new fuzzy AHP has the same ranking results as the existing fuzzy AHP. |
| first_indexed | 2025-11-15T20:15:18Z |
| format | Article |
| id | uthm-6242 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:15:18Z |
| publishDate | 2021 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-62422022-01-31T00:30:23Z http://eprints.uthm.edu.my/6242/ The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application Sam’an, Muhammad Dasrila, Yosza Muslim, Much Aziz TJ Mechanical engineering and machinery The degree of type-1 fuzzy sets membership function cannot express the linguistic variable of a complex problem. The type-2 fuzzy sets as a problem solver such that more fuzziness for constructing membership functions can be handled. Recently, many multi-criteria decision making (MCDM) methods have been expanded using type-2 fuzzy sets. Analytical Hierarchy Process (AHP) is one of the well-known MCDM that can take into account multiple and conflicting criteria at the same time. Our goal is to develop an interval type-2 trapezoidal fuzzy AHP through the new proposed ranking i.e. the modified total integral value. Based on the illustrative examples for trapezoidal type-2 fuzzy sets, the new proposed ranking has a well-performance in ranking. Furthermore, we apply the new trapezoidal type-2 fuzzy AHP to a supplier selection problem. Based on the results of the application, the new fuzzy AHP has the same ranking results as the existing fuzzy AHP. Taylor & Francis 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/6242/1/J12903_42bbe5894019e4649541f0ec4474c899.pdf Sam’an, Muhammad and Dasrila, Yosza and Muslim, Much Aziz (2021) The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application. Fuzzy Information and Engineering, 13 (3). pp. 391-419. https://doi.org/10.1080/16168658.2021.1952760 |
| spellingShingle | TJ Mechanical engineering and machinery Sam’an, Muhammad Dasrila, Yosza Muslim, Much Aziz The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title | The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title_full | The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title_fullStr | The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title_full_unstemmed | The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title_short | The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| title_sort | new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application |
| topic | TJ Mechanical engineering and machinery |
| url | http://eprints.uthm.edu.my/6242/ http://eprints.uthm.edu.my/6242/ http://eprints.uthm.edu.my/6242/1/J12903_42bbe5894019e4649541f0ec4474c899.pdf |