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...

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Váldodahkkit: Sam’an, Muhammad, Dasrila, Yosza, Muslim, Much Aziz
Materiálatiipa: Artihkal
Giella:English
Almmustuhtton: Taylor & Francis 2021
Fáttát:
Liŋkkat:http://eprints.uthm.edu.my/6242/1/J12903_42bbe5894019e4649541f0ec4474c899.pdf
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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
collection UTHM
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.
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spelling uthm.eprints-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/6242/1/J12903_42bbe5894019e4649541f0ec4474c899.pdf
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