Work

Admissible Orders on Fuzzy Numbers

Year: 2022

Type: article

Abstract: From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this article, 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.

Source: IEEE Transactions on Fuzzy Systems

DOI: 10.1109/tfuzz.2022.3160326

Authors: Nicolas Zumelzu, Benjamin Bedregal, Edmundo Mansilla, Humberto Bustince, Roberto Diaz

Institutions: Universidad de Magallanes, Universidade Federal do Rio Grande do Norte, Universidad Pública de Navarra (UPNA), Instituto de Smart Cities, Universidad de Los Lagos

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Agencia Estatal de Investigación