Admissible orders on fuzzy numbers
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Artículo / Artikulua
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From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a m ... [++]
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a method to construct admissible orders on fuzzy numbers in terms of linear orders defined for intervals considering a strictly increasing upper dense sequence, proving that this order is admissible for a given partial order. Finally, we use admissible orders to ranking the path costs in fuzzy weighted graphs. IEEE [--]
Admissible orders, Fuzzy numbers, Fuzzy sets, Fuzzy weighted graphs, Kernel, Orders on fuzzy numbers, Shortest path problem, Topology, Uncertainty, Upper bound, Writing
IEEE Transactions on Fuzzy Systems, 2022
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas / Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila / Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
This work was supported by the Brazilian funding agency CNPq (Brazilian Research Council) under Projects: 311429/2020-3 and by the project PID2019-108392GB-I00 (AEI/10.13039/ 501100011033) of the Spanish Government.
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