Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini (2023) Application of intuitionistic z-numbers in supplier selection. Intelligent Automation and Soft Computing, 35 (1). pp. 47-61. ISSN 1079-8587. (Published)
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Abstract
Intuitionistic fuzzy numbers incorporate the membership and non-membership degrees. In contrast, Z-numbers consist of restriction components, with the existence of a reliability component describing the degree of certainty for the restriction. The combination of intuitionistic fuzzy numbers and Z-num-bers produce a new type of fuzzy numbers, namely intuitionistic Z-numbers (IZN). The strength of IZN is their capability of better handling the uncertainty compared to Zadeh's Z-numbers since both components of Z-numbers are charac-terized by the membership and non-membership functions, exhibiting the degree of the hesitancy of decision-makers. This paper presents the application of such numbers in fuzzy multi-criteria decision-making problems. A decision-making model is proposed using the trapezoidal intuitionistic fuzzy power ordered weighted average as the aggregation function and the ranking function to rank the alternatives. The proposed model is then implemented in a supplier selection problem. The obtained ranking is compared to the existing models based on Z-numbers. The results show that the ranking order is slightly different from the existing models. Sensitivity analysis is performed to validate the obtained ranking. The sensitivity analysis result shows that the best supplier is obtained using the proposed model with 80% to 100% consistency despite the drastic change of criteria weights. Intuitionistic Z-numbers play a very important role in describing the uncertainty in the decision makers’ opinions in solving decision-making problems.
| Item Type: | Article |
|---|---|
| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Fuzzy decision making; Intuitionistic Z-number; Ranking function; Sensitivity analysis; Supplier selection |
| Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mr Muhamad Firdaus Janih@Jaini |
| Date Deposited: | 09 Nov 2022 06:40 |
| Last Modified: | 09 Nov 2022 06:40 |
| URI: | http://umpir.ump.edu.my/id/eprint/34727 |
| Download Statistic: | View Download Statistics |
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