A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison

Reports by various researchers show that ensuring pairwise comparison consistency is one of the main issues when applying analytic hierarchy process (AHP) in a decision making activity. Normally, in the case where inconsistencies are found, the evaluators might have to redo the pairwise comparisons...

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Main Authors: Engku Abu Bakar, Engku Muhammad Nazri, Balhuwaisl, M., Mat Kasim, Maznah
Format: Article
Language:English
Published: Akademia Baru 2016
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Online Access:http://repo.uum.edu.my/20838/1/JARSBS%204%201%202016%2073%2080.pdf
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spelling my.uum.repo.208382017-02-05T02:45:00Z http://repo.uum.edu.my/20838/ A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison Engku Abu Bakar, Engku Muhammad Nazri Balhuwaisl, M. Mat Kasim, Maznah QA Mathematics Reports by various researchers show that ensuring pairwise comparison consistency is one of the main issues when applying analytic hierarchy process (AHP) in a decision making activity. Normally, in the case where inconsistencies are found, the evaluators might have to redo the pairwise comparisons, hence, disturbing the original preference.In this paper, we proposed an evaluation step prior to conducting the pairwise comparison in order to eliminate inconsistent comparisons.The evaluation step involves the rating of importance of criteria using a scale of 1- 9 whereby 1 represents least important while 9 represents extremely important.The resulted ratings are then used as a guide to construct the AHP-pairwise comparison matrix by using certain simple algorithm that is also proposed in this paper.Once the pairwise comparison matrix is obtained, the weights of criteria can be calculated using the existing AHP-technique. Seven different experiments involving 1000 simulated pairwise comparisons for cases with three, four, five, six, seven, eight and nine criteria, respectively, were conducted.All results yielded consistent pairwise comparisons with consistency ratio values of less than the benchmarked value which is CR = 0.1. This technique can really be an added value to the standard AHP-technique since the users of AHP can now skip the consistency test and stop worrying about producing inconsistent pairwise comparison matrices as reported by many previous researchers Akademia Baru 2016-09 Article PeerReviewed application/pdf en http://repo.uum.edu.my/20838/1/JARSBS%204%201%202016%2073%2080.pdf Engku Abu Bakar, Engku Muhammad Nazri and Balhuwaisl, M. and Mat Kasim, Maznah (2016) A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison. Journal of Advanced Research in Social and Behavioural Sciences, 4 (1). pp. 73-80. ISSN 2462-1951 http://www.akademiabaru.com/arsbs.html
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Engku Abu Bakar, Engku Muhammad Nazri
Balhuwaisl, M.
Mat Kasim, Maznah
A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
description Reports by various researchers show that ensuring pairwise comparison consistency is one of the main issues when applying analytic hierarchy process (AHP) in a decision making activity. Normally, in the case where inconsistencies are found, the evaluators might have to redo the pairwise comparisons, hence, disturbing the original preference.In this paper, we proposed an evaluation step prior to conducting the pairwise comparison in order to eliminate inconsistent comparisons.The evaluation step involves the rating of importance of criteria using a scale of 1- 9 whereby 1 represents least important while 9 represents extremely important.The resulted ratings are then used as a guide to construct the AHP-pairwise comparison matrix by using certain simple algorithm that is also proposed in this paper.Once the pairwise comparison matrix is obtained, the weights of criteria can be calculated using the existing AHP-technique. Seven different experiments involving 1000 simulated pairwise comparisons for cases with three, four, five, six, seven, eight and nine criteria, respectively, were conducted.All results yielded consistent pairwise comparisons with consistency ratio values of less than the benchmarked value which is CR = 0.1. This technique can really be an added value to the standard AHP-technique since the users of AHP can now skip the consistency test and stop worrying about producing inconsistent pairwise comparison matrices as reported by many previous researchers
format Article
author Engku Abu Bakar, Engku Muhammad Nazri
Balhuwaisl, M.
Mat Kasim, Maznah
author_facet Engku Abu Bakar, Engku Muhammad Nazri
Balhuwaisl, M.
Mat Kasim, Maznah
author_sort Engku Abu Bakar, Engku Muhammad Nazri
title A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
title_short A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
title_full A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
title_fullStr A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
title_full_unstemmed A pre-evaluation step towards a guaranteed consistent AHP-based pairwise comparison
title_sort pre-evaluation step towards a guaranteed consistent ahp-based pairwise comparison
publisher Akademia Baru
publishDate 2016
url http://repo.uum.edu.my/20838/1/JARSBS%204%201%202016%2073%2080.pdf
http://repo.uum.edu.my/20838/
http://www.akademiabaru.com/arsbs.html
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score 13.211869