Ranking Z-Numbers Based on Radii of Gyration of Fuzzy Data

H. Hadi Momenseraee (), M. Afshar Kermani, T. Allahviranloo and N. Ahmady ()
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H. Hadi Momenseraee: Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran
M. Afshar Kermani: Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran
T. Allahviranloo: ��Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey‡Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
N. Ahmady: �Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 883-897

Abstract: This paper describes a new method for ranking of z-numbers according to the radii of gyration in the circulating dynamics of objects. We improve the center of mass technique that was used for ranking of fuzzy data, and by using moments of inertia or second moments, we present the new method for ranking z-numbers by the Radii of Gyration (ROG). In this paper, seven principles are stated to make any ranking method of z-numbers well defined. Eventually, three different types of examples are given, first comparing two z-numbers with each other and also a comparison of the proposed approach with the existing methods is conducted.

Keywords: Ranking z-numbers; Radii of Gyration of z-number; moments of inertia (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500467

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