On Admissible Orders on the Set of Discrete Fuzzy Numbers for Application in Decision Making Problems

Juan Vicente Riera, Sebastia Massanet, Humberto Bustince and Javier Fernandez
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Juan Vicente Riera: Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, Km.7.5, 07122 Palma de Mallorca, Spain
Sebastia Massanet: Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, Km.7.5, 07122 Palma de Mallorca, Spain
Humberto Bustince: Department of Statistics, Computer Science and Mathematics, Campus Arrosadia, Public University of Navarre, 31006 Pamplona, Spain
Javier Fernandez: Department of Statistics, Computer Science and Mathematics, Campus Arrosadia, Public University of Navarre, 31006 Pamplona, Spain

Mathematics, 2021, vol. 9, issue 1, 1-16

Abstract: 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.

Keywords: discrete fuzzy number; total order; admissible orders; ranking discrete fuzzy numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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