Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers

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)

Intuitive Multiple Centroid Defuzzification of Intuitionistic Z-Numbers.pdf
Available under License Creative Commons Attribution.

Download (942kB) | Preview


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.

Item Type: Article
Uncontrolled Keywords: Defuzzification, Intuitionistic Z-numbers, Intuitive multiple centroid, Ranking function
Subjects: Q Science > QA Mathematics
Faculty/Division: Institute of Postgraduate Studies
Center for Mathematical Science
Depositing User: Miss Amelia Binti Hasan
Date Deposited: 06 Feb 2024 04:24
Last Modified: 06 Feb 2024 04:24
Download Statistic: View Download Statistics

Actions (login required)

View Item View Item