An Asymmetric Index to Compare Trapezoidal Fuzzy Numbers

In this paper, we present a tool to help reduce the uncertainty presented in the resource selection problem when information is subjective in nature. The candidates and the "ideal" resource required by evaluators are modeled by fuzzy subsets whose elements are trapezoidal fuzzy numbers (Tr...

ver descrição completa

Detalhes bibliográficos
Autores: Rojas Mora, Julio César, Gil Lafuente, Jaime
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/68491
Acesso em linha:https://hdl.handle.net/2445/68491
Access Level:acceso abierto
Palavra-chave:Lògica borrosa
Lògica matemàtica
Fuzzy logic
Mathematical logic
Descrição
Resumo:In this paper, we present a tool to help reduce the uncertainty presented in the resource selection problem when information is subjective in nature. The candidates and the "ideal" resource required by evaluators are modeled by fuzzy subsets whose elements are trapezoidal fuzzy numbers (TrFN). By modeling with TrFN the subjective variables used to determine the best among a set of resources, one should take into account in the decision-making process, not only their expected value, but also the uncertainty that they reflect. Respecting this condition, for each candidate an asymmetric index evaluates the distance between the TrFNs for each of the variables and the corresponding TrFNs of the "ideal" candidate, consolidating them through a weighted average that lets the decision-maker make the final comparison between the candidates, and the selection of the one best suited. We apply this contribution to the case of the selection of the product that is best suited for a "pilot test" to be carried out in some market segment.