The application of z-numbers in fuzzy decision making: The state of the art

Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini and Gegov, Alexander (2023) The application of z-numbers in fuzzy decision making: The state of the art. Information, 14 (400). pp. 1-24. ISSN 2078-2489. (Published)

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A Z-number is very powerful in describing imperfect information, in which fuzzy numbers are paired such that the partially reliable information is properly processed. During a decision-making process, human beings always use natural language to describe their preferences, and the decision information is usually imprecise and partially reliable. The nature of the Z-number, which is composed of the restriction and reliability components, has made it a powerful tool for depicting certain decision information. Its strengths and advantages have attracted many researchers worldwide to further study and extend its theory and applications. The current research trend on Z-numbers has shown an increasing interest among researchers in the fuzzy set theory, especially its application to decision making. This paper reviews the application of Z-numbers in decision making, in which previous decision-making models based on Z-numbers are analyzed to identify their strengths and contributions. The decision making based on Z-numbers improves the reliability of the decision information and makes it more meaningful. Another scope that is closely related to decision making, namely, the ranking of Z-numbers, is also reviewed. Then, the evaluative analysis of the Z-numbers is conducted to evaluate the performance of Z-numbers in decision making. Future directions and recommendations on the applications of Z-numbers in decision making are provided at the end of this review.

Item Type: Article
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Fuzzy decision making; Fuzzy ranking; Multi-criteria decision making; SWOT; Z-number
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Faculty/Division: Institute of Postgraduate Studies
Center for Mathematical Science
Depositing User: Mr Muhamad Firdaus Janih@Jaini
Date Deposited: 21 Aug 2023 03:05
Last Modified: 25 Aug 2023 05:02
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