An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment
Determining 2ⁿ values of fuzzy measure prior to applying Choquet integral normally turns into a complex undertaking, especially when the decision problem entails a large number of evaluation attributes, n. Many patterns of fuzzy measure have thus been suggested to deal with this complexity. ʎ°-measu...
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| Format: | Article |
| Language: | English English |
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Growing Science
2019
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| Online Access: | https://eprints.ums.edu.my/id/eprint/34266/1/An%20alternate%20method%20to%20determine%20.pdf https://eprints.ums.edu.my/id/eprint/34266/2/An%20alternate%20method%20to%20determine%201.pdf |
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| author | Anath Rau Krishnan Siti Nur Aqilah Ab Wahab Maznah Mat Kasim Engku Muhammad Nazri Engku Abu Bakar |
| author_facet | Anath Rau Krishnan Siti Nur Aqilah Ab Wahab Maznah Mat Kasim Engku Muhammad Nazri Engku Abu Bakar |
| author_sort | Anath Rau Krishnan |
| collection | UMS |
| description | Determining 2ⁿ values of fuzzy measure prior to applying Choquet integral normally turns into a complex undertaking, especially when the decision problem entails a large number of evaluation attributes, n. Many patterns of fuzzy measure have thus been suggested to deal with this complexity. ʎ°-measure is one such pattern. However, the original ʎ°- measure identification method was found to be unsuccessful in providing clear-cut indications on the relationships held by the attributes. A revised version of the method was then introduced to tackle this issue, but unfortunately it requires a large amount of initial data from the respondents compared to the original method. This paper therefore proposes an alternate version of ʎ°-measure identification method that synchronously compensates the shortcomings associated with each existing method. The proposed method uses interpretive structural modelling (ISM) to uncover the actual relationships held by the attributes. The outputs of ISM (i.e. digraph, driving power and dependence power) are then utilised to determine the inputs required to identify the complete set of ʎ°-measure values. A supplier selection problem was used to demonstrate the feasibility of the method. Also, the usability of the method was compared over the existing ones. |
| first_indexed | 2024-03-06T03:20:31Z |
| format | Article |
| id | ums.eprints-34266 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:20:31Z |
| publishDate | 2019 |
| publisher | Growing Science |
| record_format | dspace |
| spelling | ums.eprints-342662022-09-27T01:23:37Z https://eprints.ums.edu.my/id/eprint/34266/ An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment Anath Rau Krishnan Siti Nur Aqilah Ab Wahab Maznah Mat Kasim Engku Muhammad Nazri Engku Abu Bakar QA75-76.95 Calculating machines Determining 2ⁿ values of fuzzy measure prior to applying Choquet integral normally turns into a complex undertaking, especially when the decision problem entails a large number of evaluation attributes, n. Many patterns of fuzzy measure have thus been suggested to deal with this complexity. ʎ°-measure is one such pattern. However, the original ʎ°- measure identification method was found to be unsuccessful in providing clear-cut indications on the relationships held by the attributes. A revised version of the method was then introduced to tackle this issue, but unfortunately it requires a large amount of initial data from the respondents compared to the original method. This paper therefore proposes an alternate version of ʎ°-measure identification method that synchronously compensates the shortcomings associated with each existing method. The proposed method uses interpretive structural modelling (ISM) to uncover the actual relationships held by the attributes. The outputs of ISM (i.e. digraph, driving power and dependence power) are then utilised to determine the inputs required to identify the complete set of ʎ°-measure values. A supplier selection problem was used to demonstrate the feasibility of the method. Also, the usability of the method was compared over the existing ones. Growing Science 2019 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34266/1/An%20alternate%20method%20to%20determine%20.pdf text en https://eprints.ums.edu.my/id/eprint/34266/2/An%20alternate%20method%20to%20determine%201.pdf Anath Rau Krishnan and Siti Nur Aqilah Ab Wahab and Maznah Mat Kasim and Engku Muhammad Nazri Engku Abu Bakar (2019) An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment. Decision Science Letters, 8. pp. 193-210. ISSN 1929-5812 (E-ISSN) , 1929-5804 (P-ISSN) http://m.growingscience.com/beta/dsl/2900-an-alternate-method-to-determine-0-measure-values-prior-to-applying-choquet-integral-in-a-multi-attribute-decision-making-environment.html https://doi.org/10.5267/j.dsl.2018.6.001 https://doi.org/10.5267/j.dsl.2018.6.001 |
| spellingShingle | QA75-76.95 Calculating machines Anath Rau Krishnan Siti Nur Aqilah Ab Wahab Maznah Mat Kasim Engku Muhammad Nazri Engku Abu Bakar An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title | An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title_full | An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title_fullStr | An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title_full_unstemmed | An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title_short | An alternate method to determine ʎ°-measure values prior to applying Choquet integral in a multi-attribute decision making environment |
| title_sort | alternate method to determine ʎ° measure values prior to applying choquet integral in a multi attribute decision making environment |
| topic | QA75-76.95 Calculating machines |
| url | https://eprints.ums.edu.my/id/eprint/34266/1/An%20alternate%20method%20to%20determine%20.pdf https://eprints.ums.edu.my/id/eprint/34266/2/An%20alternate%20method%20to%20determine%201.pdf |
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