A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems

Choquet integral is currently being employed in many multi-attribute decision problems thanks to its ability in capturing the interactions that usually exist between the evaluation attributes during the aggregation process. However, the process of identifying 2n values of fuzzy measure prior to appl...

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Main Authors: Anath Rau Krishnan, Siti Nur Aqilah Ab Wahab, Maznah Mat Kasim, Engku Muhammad Nazri Engku Abu Bakar, Abdul Kamal Char
格式: Article
語言:English
English
出版: Springer 2017
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在線閱讀:https://eprints.ums.edu.my/id/eprint/31800/2/A%20revised%20procedure%20to%20identify%20k0-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems1.pdf
https://eprints.ums.edu.my/id/eprint/31800/3/A%20revised%20procedure%20to%20identify%20%CE%BB%200-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems.pdf
https://eprints.ums.edu.my/id/eprint/31800/
https://econpapers.repec.org/article/spropsear/v_3a54_3ay_3a2017_3ai_3a3_3ad_3a10.1007_5fs12597-017-0297-6.htm
https://doi.org/10.1007/s12597-017-0297-6
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spelling my.ums.eprints.318002022-03-03T00:31:17Z https://eprints.ums.edu.my/id/eprint/31800/ A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems Anath Rau Krishnan Siti Nur Aqilah Ab Wahab Maznah Mat Kasim Engku Muhammad Nazri Engku Abu Bakar Abdul Kamal Char Q1-390 Science (General) Choquet integral is currently being employed in many multi-attribute decision problems thanks to its ability in capturing the interactions that usually exist between the evaluation attributes during the aggregation process. However, the process of identifying 2n values of fuzzy measure prior to applying Choquet integral normally turns into a complex one especially when the decision problem involves large number of evaluation attributes, n. Many patterns of fuzzy measure have been introduced to deal with this complexity and λ0-measure is one such pattern. Unfortunately, the existing λ0-measure identification procedure failed to provide clear indications as to which attributes need to be enhanced in order to significantly inflate the performance of alternatives. That being the case, this paper proposed a revised version of the original λ0-measure identification procedure through the integration of decision making trial and evaluation laboratory (DEMATEL) model. The revised procedure uses DEMATEL to identify the causal-effect relations between the attributes. The outputs of DEMATEL (i.e. digraph and importance ratios) are then utilized to determine the inputs required to identify the complete set of λ0-measure values. A vendor evaluation problem was used to demonstrate the feasibility of the procedure. The differences between the revised and original procedure were discussed as well. Springer 2017 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/31800/2/A%20revised%20procedure%20to%20identify%20k0-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems1.pdf text en https://eprints.ums.edu.my/id/eprint/31800/3/A%20revised%20procedure%20to%20identify%20%CE%BB%200-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems.pdf Anath Rau Krishnan and Siti Nur Aqilah Ab Wahab and Maznah Mat Kasim and Engku Muhammad Nazri Engku Abu Bakar and Abdul Kamal Char (2017) A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems. OPSEARCH, 54 (10). pp. 637-650. ISSN 0975-0320 https://econpapers.repec.org/article/spropsear/v_3a54_3ay_3a2017_3ai_3a3_3ad_3a10.1007_5fs12597-017-0297-6.htm https://doi.org/10.1007/s12597-017-0297-6
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic Q1-390 Science (General)
spellingShingle Q1-390 Science (General)
Anath Rau Krishnan
Siti Nur Aqilah Ab Wahab
Maznah Mat Kasim
Engku Muhammad Nazri Engku Abu Bakar
Abdul Kamal Char
A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
description Choquet integral is currently being employed in many multi-attribute decision problems thanks to its ability in capturing the interactions that usually exist between the evaluation attributes during the aggregation process. However, the process of identifying 2n values of fuzzy measure prior to applying Choquet integral normally turns into a complex one especially when the decision problem involves large number of evaluation attributes, n. Many patterns of fuzzy measure have been introduced to deal with this complexity and λ0-measure is one such pattern. Unfortunately, the existing λ0-measure identification procedure failed to provide clear indications as to which attributes need to be enhanced in order to significantly inflate the performance of alternatives. That being the case, this paper proposed a revised version of the original λ0-measure identification procedure through the integration of decision making trial and evaluation laboratory (DEMATEL) model. The revised procedure uses DEMATEL to identify the causal-effect relations between the attributes. The outputs of DEMATEL (i.e. digraph and importance ratios) are then utilized to determine the inputs required to identify the complete set of λ0-measure values. A vendor evaluation problem was used to demonstrate the feasibility of the procedure. The differences between the revised and original procedure were discussed as well.
format Article
author Anath Rau Krishnan
Siti Nur Aqilah Ab Wahab
Maznah Mat Kasim
Engku Muhammad Nazri Engku Abu Bakar
Abdul Kamal Char
author_facet Anath Rau Krishnan
Siti Nur Aqilah Ab Wahab
Maznah Mat Kasim
Engku Muhammad Nazri Engku Abu Bakar
Abdul Kamal Char
author_sort Anath Rau Krishnan
title A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
title_short A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
title_full A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
title_fullStr A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
title_full_unstemmed A revised procedure to identify λ0-measure values for applying Choquet integral in solving multi-attribute decision problems
title_sort revised procedure to identify λ0-measure values for applying choquet integral in solving multi-attribute decision problems
publisher Springer
publishDate 2017
url https://eprints.ums.edu.my/id/eprint/31800/2/A%20revised%20procedure%20to%20identify%20k0-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems1.pdf
https://eprints.ums.edu.my/id/eprint/31800/3/A%20revised%20procedure%20to%20identify%20%CE%BB%200-measure%20values%20for%20applying%20Choquet%20integral%20in%20solving%20multi-attribute%20decision%20problems.pdf
https://eprints.ums.edu.my/id/eprint/31800/
https://econpapers.repec.org/article/spropsear/v_3a54_3ay_3a2017_3ai_3a3_3ad_3a10.1007_5fs12597-017-0297-6.htm
https://doi.org/10.1007/s12597-017-0297-6
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