A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis

Choquet integral operator is currently making inroads into many real multiple attribute analysis due to its ability on modeling the usual interactions held by the attributes during the aggregation process.Unfortunately, the process of identifying 2n values of fuzzy measure prior to employing Choquet...

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Main Authors: Krishnan, Anath Rau, Mat Kasim, Maznah, Engku Abu Bakar, Engku Muhammad Nazri
Format: Article
Language:English
Published: Elsevier Ltd 2015
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/16520/1/rg72.pdf
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author Krishnan, Anath Rau
Mat Kasim, Maznah
Engku Abu Bakar, Engku Muhammad Nazri
author_facet Krishnan, Anath Rau
Mat Kasim, Maznah
Engku Abu Bakar, Engku Muhammad Nazri
author_sort Krishnan, Anath Rau
collection UUM
description Choquet integral operator is currently making inroads into many real multiple attribute analysis due to its ability on modeling the usual interactions held by the attributes during the aggregation process.Unfortunately, the process of identifying 2n values of fuzzy measure prior to employing Choquet integral normally turns into a very complex one with the increasing number of attributes, n.On that note, this paper mainly reviews on some of the methods that have been proposed in reducing the complexity of identifying fuzzy measure values together with their pros and cons. The paper begins with a discussion on the aggregation process in multiple attribute analysis which then focuses on the usage of Choquet integral and its associated fuzzy measure before investigating some of the fuzzy measure identification methods A simple numerical example to demonstrate the merit of using Choquet integral and the indications for future research are provided as well.The paper to some extent would be helpful in stimulating new ideas for developing simpler or enhanced versions of fuzzy measure identification methods.
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spelling uum-165202016-04-27T06:21:56Z https://repo.uum.edu.my/id/eprint/16520/ A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis Krishnan, Anath Rau Mat Kasim, Maznah Engku Abu Bakar, Engku Muhammad Nazri QA76 Computer software Choquet integral operator is currently making inroads into many real multiple attribute analysis due to its ability on modeling the usual interactions held by the attributes during the aggregation process.Unfortunately, the process of identifying 2n values of fuzzy measure prior to employing Choquet integral normally turns into a very complex one with the increasing number of attributes, n.On that note, this paper mainly reviews on some of the methods that have been proposed in reducing the complexity of identifying fuzzy measure values together with their pros and cons. The paper begins with a discussion on the aggregation process in multiple attribute analysis which then focuses on the usage of Choquet integral and its associated fuzzy measure before investigating some of the fuzzy measure identification methods A simple numerical example to demonstrate the merit of using Choquet integral and the indications for future research are provided as well.The paper to some extent would be helpful in stimulating new ideas for developing simpler or enhanced versions of fuzzy measure identification methods. Elsevier Ltd 2015 Article PeerReviewed application/pdf en cc4_by_nc https://repo.uum.edu.my/id/eprint/16520/1/rg72.pdf Krishnan, Anath Rau and Mat Kasim, Maznah and Engku Abu Bakar, Engku Muhammad Nazri (2015) A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis. Procedia Computer Science, 59. pp. 427-434. ISSN 1877-0509 http://doi.org/10.1016/j.procs.2015.07.560 doi:10.1016/j.procs.2015.07.560 doi:10.1016/j.procs.2015.07.560
spellingShingle QA76 Computer software
Krishnan, Anath Rau
Mat Kasim, Maznah
Engku Abu Bakar, Engku Muhammad Nazri
A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title_full A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title_fullStr A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title_full_unstemmed A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title_short A short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
title_sort short survey on the usage of choquet integral and its associated fuzzy measure in multiple attribute analysis
topic QA76 Computer software
url https://repo.uum.edu.my/id/eprint/16520/1/rg72.pdf
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