Cover Image

Analytic Hierarchy Process Based on the Magnitude of Z-Numbers

The Analytic Hierarchy Process (AHP) is a powerful multi-criteria and multi-alternative decision-making model, which assists decision-makers in giving preferences using pairwise comparison matrices. The development of the AHP using fuzzy numbers has received attention from many researchers due to th...

Full description

Saved in:
Bibliographic Details
Main Authors: Nik Muhammad Farhan Hakim, Nik Badrul Alam, Ku Muhammad Naim, Ku Khalif, Nor Izzati, Jaini
Format: Article
Language:English
Published: 2023
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/38963/1/Analytic%20Hierarchy%20Process%20Based%20on%20the%20Magnitude%20of%20Z-Numbers%20.pdf
http://umpir.ump.edu.my/id/eprint/38963/
https://doi.org/10.13033/ijahp.v15i1.1063
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.ump.umpir.38963
record_format eprints
spelling my.ump.umpir.389632023-10-23T03:51:45Z http://umpir.ump.edu.my/id/eprint/38963/ Analytic Hierarchy Process Based on the Magnitude of Z-Numbers Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini QA Mathematics The Analytic Hierarchy Process (AHP) is a powerful multi-criteria and multi-alternative decision-making model, which assists decision-makers in giving preferences using pairwise comparison matrices. The development of the AHP using fuzzy numbers has received attention from many researchers due to the ability of fuzzy numbers to handle vagueness and uncertainty. The integration of the AHP with fuzzy Z-numbers has improved the model since the reliability of the decision-makers is considered, in which the judgment is followed by a degree of certainty or sureness. Most of the existing decision-making models based on Z-numbers transform the Z-numbers into regular fuzzy numbers by integrating the reliability parts into the restriction parts, causing a significant loss of information. Hence, this study develops the AHP based on the magnitude of Z-numbers, which is used to represent the criteria weights. A numerical example of criteria ranking for the prioritization of public services for digitalization is implemented to illustrate the proposed AHP model. 2023 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/38963/1/Analytic%20Hierarchy%20Process%20Based%20on%20the%20Magnitude%20of%20Z-Numbers%20.pdf Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini (2023) Analytic Hierarchy Process Based on the Magnitude of Z-Numbers. International Journal of the Analytic Hierarchy Process, 15 (1). (Published) https://doi.org/10.13033/ijahp.v15i1.1063 10.13033/ijahp.v15i1.1063
institution Universiti Malaysia Pahang Al-Sultan Abdullah
building UMPSA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Nik Muhammad Farhan Hakim, Nik Badrul Alam
Ku Muhammad Naim, Ku Khalif
Nor Izzati, Jaini
Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
description The Analytic Hierarchy Process (AHP) is a powerful multi-criteria and multi-alternative decision-making model, which assists decision-makers in giving preferences using pairwise comparison matrices. The development of the AHP using fuzzy numbers has received attention from many researchers due to the ability of fuzzy numbers to handle vagueness and uncertainty. The integration of the AHP with fuzzy Z-numbers has improved the model since the reliability of the decision-makers is considered, in which the judgment is followed by a degree of certainty or sureness. Most of the existing decision-making models based on Z-numbers transform the Z-numbers into regular fuzzy numbers by integrating the reliability parts into the restriction parts, causing a significant loss of information. Hence, this study develops the AHP based on the magnitude of Z-numbers, which is used to represent the criteria weights. A numerical example of criteria ranking for the prioritization of public services for digitalization is implemented to illustrate the proposed AHP model.
format Article
author Nik Muhammad Farhan Hakim, Nik Badrul Alam
Ku Muhammad Naim, Ku Khalif
Nor Izzati, Jaini
author_facet Nik Muhammad Farhan Hakim, Nik Badrul Alam
Ku Muhammad Naim, Ku Khalif
Nor Izzati, Jaini
author_sort Nik Muhammad Farhan Hakim, Nik Badrul Alam
title Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
title_short Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
title_full Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
title_fullStr Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
title_full_unstemmed Analytic Hierarchy Process Based on the Magnitude of Z-Numbers
title_sort analytic hierarchy process based on the magnitude of z-numbers
publishDate 2023
url http://umpir.ump.edu.my/id/eprint/38963/1/Analytic%20Hierarchy%20Process%20Based%20on%20the%20Magnitude%20of%20Z-Numbers%20.pdf
http://umpir.ump.edu.my/id/eprint/38963/
https://doi.org/10.13033/ijahp.v15i1.1063
_version_ 1822923797729116160
score 13.235362

Similar Items