Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers
In fuzzy decision-making, incomplete information always leads to uncertain and partially reliable judgements. The emergence of fuzzy set theory helps decision-makers in handling uncertainty and vagueness when making judgements. Intuitionistic Fuzzy Numbers (IFN) measure the degree of uncertainty bet...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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REA Press
2022
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| Online Access: | http://umpir.ump.edu.my/id/eprint/40269/ http://umpir.ump.edu.my/id/eprint/40269/1/Intuitive%20Multiple%20Centroid%20Defuzzification%20of%20Intuitionistic%20Z-Numbers.pdf |
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| author | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Lazim, Abdullah |
| author_facet | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Lazim, Abdullah |
| author_sort | Nik Muhammad Farhan Hakim, Nik Badrul Alam |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In fuzzy decision-making, incomplete information always leads to uncertain and partially reliable judgements. The emergence of fuzzy set theory helps decision-makers in handling uncertainty and vagueness when making judgements. Intuitionistic Fuzzy Numbers (IFN) measure the degree of uncertainty better than classical fuzzy numbers, while Z-numbers help to highlight the reliability of the judgements. Combining these two fuzzy numbers produces Intuitionistic Z-Numbers (IZN). Both restriction and reliability components are characterized by the membership and non-membership functions, exhibiting a degree of uncertainties that arise due to the lack of information when decision-makers are making preferences. Decision information in the form of IZN needs to be defuzzified during the decision-making process before the final preferences can be determined. This paper proposes an Intuitive Multiple Centroid (IMC) defuzzification of IZN. A novel Multi-Criteria Decision-Making (MCDM) model based on IZN is developed. The proposed MCDM model is implemented in a supplier selection problem for an automobile manufacturing company. An arithmetic averaging operator is used to aggregate the preferences of all decision-makers, and a ranking function based on centroid is used to rank the alternatives. The IZN play the role of representing the uncertainty of decision-makers, which finally determine the ranking of alternatives. |
| first_indexed | 2025-11-15T03:37:53Z |
| format | Article |
| id | ump-40269 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:37:53Z |
| publishDate | 2022 |
| publisher | REA Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-402692024-02-06T04:24:04Z http://umpir.ump.edu.my/id/eprint/40269/ Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Lazim, Abdullah QA Mathematics In fuzzy decision-making, incomplete information always leads to uncertain and partially reliable judgements. The emergence of fuzzy set theory helps decision-makers in handling uncertainty and vagueness when making judgements. Intuitionistic Fuzzy Numbers (IFN) measure the degree of uncertainty better than classical fuzzy numbers, while Z-numbers help to highlight the reliability of the judgements. Combining these two fuzzy numbers produces Intuitionistic Z-Numbers (IZN). Both restriction and reliability components are characterized by the membership and non-membership functions, exhibiting a degree of uncertainties that arise due to the lack of information when decision-makers are making preferences. Decision information in the form of IZN needs to be defuzzified during the decision-making process before the final preferences can be determined. This paper proposes an Intuitive Multiple Centroid (IMC) defuzzification of IZN. A novel Multi-Criteria Decision-Making (MCDM) model based on IZN is developed. The proposed MCDM model is implemented in a supplier selection problem for an automobile manufacturing company. An arithmetic averaging operator is used to aggregate the preferences of all decision-makers, and a ranking function based on centroid is used to rank the alternatives. The IZN play the role of representing the uncertainty of decision-makers, which finally determine the ranking of alternatives. REA Press 2022 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/40269/1/Intuitive%20Multiple%20Centroid%20Defuzzification%20of%20Intuitionistic%20Z-Numbers.pdf Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini and Ahmad Syafadhli, Abu Bakar and Lazim, Abdullah (2022) Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers. Journal of Fuzzy Extension and Applications, 3 (2). pp. 126-139. ISSN 2717-3453. (Published) https://doi.org/10.22105/jfea.2022.315297.1173 10.22105/jfea.2022.315297.1173 |
| spellingShingle | QA Mathematics Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Lazim, Abdullah Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title | Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title_full | Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title_fullStr | Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title_full_unstemmed | Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title_short | Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers |
| title_sort | intuitive multiple centroid defuzzification of intuitionistic z-numbers |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/40269/ http://umpir.ump.edu.my/id/eprint/40269/ http://umpir.ump.edu.my/id/eprint/40269/ http://umpir.ump.edu.my/id/eprint/40269/1/Intuitive%20Multiple%20Centroid%20Defuzzification%20of%20Intuitionistic%20Z-Numbers.pdf |