New optimality conditions for multiobjective fuzzy programming problems

In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notion...

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Detalhes bibliográficos
Autores: Osuna Gómez, Rafaela, Hernández Jiménez, Beatriz, Chalco Cano, Y., Ruiz Garzón, Gabriel
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2020
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180594
Acesso em linha:https://hdl.handle.net/11441/180594
https://doi.org/10.22111/ijfs.2020.5345
Access Level:Acceso aberto
Palavra-chave:Multiobjective fuzzy optimization
Generalized differentiable fuzzy functions
Fuzzy generalized convexity
Descrição
Resumo:In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.