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00925njm 22002777a 4500 dc Riera, Juan Vicente author Massanet, Sebastia author Bustince, Humberto author Fernandez, Javier author 2021-01 The study of orders is a constantly evolving topic, not only for its interest from a theoretical point of view, but also for its possible applications. Recently, one of the hot lines of research has been the construction of admissible orders in different frameworks. Following this direction, this paper presents a new representation theorem in the field of discrete fuzzy numbers that enables the construction of two families of admissible orders in the set of discrete fuzzy numbers whose support is a closed interval of a finite chain, leading to the first admissible orders introduced in this framework. Riera JV, Massanet S, Bustince H, Fernandez J. On Admissible Orders on the Set of Discrete Fuzzy Numbers for Application in Decision Making Problems. Mathematics. 2021 Jan;9(1):95. 10.3390/math9010095 2227-7390 Mathematics http://hdl.handle.net/20.500.13003/11331 2-s2.0-85099296899 https://hdl.handle.net/20.500.12105/23289 606099500001 Discrete fuzzy number Total order Admissible orders Ranking discrete fuzzy numbers On Admissible Orders on the Set of Discrete Fuzzy Numbers for Application in Decision Making Problems