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Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers

Technique for order of preference by similarity to ideal solution (TOPSIS) is a multi-criteria decision-making (MCDM) method which is developed based on the distance measure from the positive and negative ideal solutions. This paper extends the TOPSIS for handling data in form of intuitionistic Z-nu...

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Main Authors: Nik Muhammad Farhan Hakim, Nik Badrul Alam, Ku Muhammad Naim, Ku Khalif, Nor Izzati, Jaini
Format: Conference or Workshop Item
Language:English
English
Published: Springer 2024
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/40272/1/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers%20%28Intro%29.pdf
http://umpir.ump.edu.my/id/eprint/40272/2/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers.pdf
http://umpir.ump.edu.my/id/eprint/40272/
https://doi.org/10.1007/978-3-031-51521-7_11
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spelling my.ump.umpir.402722024-02-06T04:42:42Z http://umpir.ump.edu.my/id/eprint/40272/ Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini QA Mathematics Technique for order of preference by similarity to ideal solution (TOPSIS) is a multi-criteria decision-making (MCDM) method which is developed based on the distance measure from the positive and negative ideal solutions. This paper extends the TOPSIS for handling data in form of intuitionistic Z-numbers (IZN). IZN consists of restriction and reliability components which are characterized by the intuitionistic fuzzy numbers. The distance measure between IZN is proposed using the convex compound of the distances for the restriction and reliability parts. The supplier selection problem in an automobile manufacturing company is adopted to illustrate the proposed model. Sensitivity analysis is performed for the validation of the proposed model and its result shows that the proposed model gives a consistent ranking of alternatives. The strength of the proposed model is the preservation of decision information in form of IZN which does not possess the conversion into regular fuzzy number to avoid the loss of information. Springer 2024 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/40272/1/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers%20%28Intro%29.pdf pdf en http://umpir.ump.edu.my/id/eprint/40272/2/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers.pdf Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini (2024) Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers. In: Proceedings of the 12th World Conference on Intelligent System for Industrial Automation. 12th World Conference “Intelligent System for Industrial Automation” (WCIS-2022) , 25-26 November 2022 , Tashkent, Uzbekistan (online). pp. 73-80., 718. ISBN 978-3-031-51520-0 https://doi.org/10.1007/978-3-031-51521-7_11
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
English
topic QA Mathematics
spellingShingle QA Mathematics
Nik Muhammad Farhan Hakim, Nik Badrul Alam
Ku Muhammad Naim, Ku Khalif
Nor Izzati, Jaini
Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
description Technique for order of preference by similarity to ideal solution (TOPSIS) is a multi-criteria decision-making (MCDM) method which is developed based on the distance measure from the positive and negative ideal solutions. This paper extends the TOPSIS for handling data in form of intuitionistic Z-numbers (IZN). IZN consists of restriction and reliability components which are characterized by the intuitionistic fuzzy numbers. The distance measure between IZN is proposed using the convex compound of the distances for the restriction and reliability parts. The supplier selection problem in an automobile manufacturing company is adopted to illustrate the proposed model. Sensitivity analysis is performed for the validation of the proposed model and its result shows that the proposed model gives a consistent ranking of alternatives. The strength of the proposed model is the preservation of decision information in form of IZN which does not possess the conversion into regular fuzzy number to avoid the loss of information.
format Conference or Workshop Item
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 Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
title_short Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
title_full Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
title_fullStr Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
title_full_unstemmed Development of Reliable TOPSIS Method Using Intuitionistic Z-Numbers
title_sort development of reliable topsis method using intuitionistic z-numbers
publisher Springer
publishDate 2024
url http://umpir.ump.edu.my/id/eprint/40272/1/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers%20%28Intro%29.pdf
http://umpir.ump.edu.my/id/eprint/40272/2/Development%20of%20Reliable%20TOPSIS%20Method%20Using%20Intuitionistic%20Z-Numbers.pdf
http://umpir.ump.edu.my/id/eprint/40272/
https://doi.org/10.1007/978-3-031-51521-7_11
_version_ 1822924136057405440
score 13.235362

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