Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making
Z-numbers and intuitionistic fuzzy numbers are both important as they consider the reliability of the judgement, membership and non-membership functions of the numbers. The combination of these two numbers produce intuitionistic Z-numbers which need to be defuzzified before aggregation of multiple e...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
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Springer Science and Business Media Deutschland GmbH
2022
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| Online Access: | http://umpir.ump.edu.my/id/eprint/39743/1/Defuzzification%20of%20Intuitionistic%20Z-Numbers%20for%20Fuzzy%20Multi%20Criteria.pdf http://umpir.ump.edu.my/id/eprint/39743/2/Defuzzi%EF%AC%81cation%20of%20intuitionistic%20Z-Numbers%20for%20fuzzy%20multi%20criteria%20decision%20making_ABS.pdf |
| _version_ | 1796996118512402432 |
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| author | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Mohd Lazim, Abdullah |
| author_facet | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Mohd Lazim, Abdullah |
| author_sort | Nik Muhammad Farhan Hakim, Nik Badrul Alam |
| collection | UMP |
| description | Z-numbers and intuitionistic fuzzy numbers are both important as they consider the reliability of the judgement, membership and non-membership functions of the numbers. The combination of these two numbers produce intuitionistic Z-numbers which need to be defuzzified before aggregation of multiple experts’ opinions could be done in the decision making problems. This paper presents the generalised intuitionistic Z-numbers and proposes a centroid-based defuzzification of such numbers, namely intuitive multiple centroid. The proposed defuzzification is used in the decision making model and applied to the supplier selection problem. The ranking of supplier alternatives is evaluated using the ranking function based on centroid. In the present paper, the ranking is improved since the intuitionistic fuzzy numbers (IFN) are integrated within the evaluations which were initially in form of Z-numbers, considering their membership and non-membership grades. The ranking of the proposed model gives almost similar ranking to the existing model, with simplified but detailed defuzzification method. |
| first_indexed | 2024-03-06T13:12:15Z |
| format | Conference or Workshop Item |
| id | UMPir39743 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T13:12:15Z |
| publishDate | 2022 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | UMPir397432023-12-22T09:41:04Z http://umpir.ump.edu.my/id/eprint/39743/ Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Mohd Lazim, Abdullah Q Science (General) QA Mathematics Z-numbers and intuitionistic fuzzy numbers are both important as they consider the reliability of the judgement, membership and non-membership functions of the numbers. The combination of these two numbers produce intuitionistic Z-numbers which need to be defuzzified before aggregation of multiple experts’ opinions could be done in the decision making problems. This paper presents the generalised intuitionistic Z-numbers and proposes a centroid-based defuzzification of such numbers, namely intuitive multiple centroid. The proposed defuzzification is used in the decision making model and applied to the supplier selection problem. The ranking of supplier alternatives is evaluated using the ranking function based on centroid. In the present paper, the ranking is improved since the intuitionistic fuzzy numbers (IFN) are integrated within the evaluations which were initially in form of Z-numbers, considering their membership and non-membership grades. The ranking of the proposed model gives almost similar ranking to the existing model, with simplified but detailed defuzzification method. Springer Science and Business Media Deutschland GmbH 2022 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/39743/1/Defuzzification%20of%20Intuitionistic%20Z-Numbers%20for%20Fuzzy%20Multi%20Criteria.pdf pdf en http://umpir.ump.edu.my/id/eprint/39743/2/Defuzzi%EF%AC%81cation%20of%20intuitionistic%20Z-Numbers%20for%20fuzzy%20multi%20criteria%20decision%20making_ABS.pdf Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini and Ahmad Syafadhli, Abu Bakar and Mohd Lazim, Abdullah (2022) Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making. In: Lecture Notes in Networks and Systems; International Conference on Intelligent and Fuzzy Systems, INFUS 2021 , 24-26 August 2021 , Istanbul. 879- 887., 308 (264409). ISSN 2367-3370 ISBN 978-303085576-5 https://doi.org/10.1007/978-3-030-85577-2_101 |
| spellingShingle | Q Science (General) QA Mathematics Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Ahmad Syafadhli, Abu Bakar Mohd Lazim, Abdullah Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title | Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title_full | Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title_fullStr | Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title_full_unstemmed | Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title_short | Defuzzification of intuitionistic Z-Numbers for fuzzy multi criteria decision making |
| title_sort | defuzzification of intuitionistic z numbers for fuzzy multi criteria decision making |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/39743/1/Defuzzification%20of%20Intuitionistic%20Z-Numbers%20for%20Fuzzy%20Multi%20Criteria.pdf http://umpir.ump.edu.my/id/eprint/39743/2/Defuzzi%EF%AC%81cation%20of%20intuitionistic%20Z-Numbers%20for%20fuzzy%20multi%20criteria%20decision%20making_ABS.pdf |
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