Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems

The parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ,Ψ, ρ, ζ, θ)−invexities are developed and then efficient solutions to the multiobjective fractional programming probl...

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Detalles Bibliográficos
Autor: Verma,Ram U
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Chile
Institución:CONICYT Chile
Repositorio:SciELO Chile
OAI Identifier:oai:scielo:S0719-06462015000100004
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100004
Access Level:acceso abierto
Palabra clave:Generalized invexity
Multiobjective fractional programming
Efficient solutions
?−efficient solutions
Parametric sufficient efficiency conditions
Descripción
Sumario:The parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ,Ψ, ρ, ζ, θ)−invexities are developed and then efficient solutions to the multiobjective fractional programming problems are established. Plus, the obtained results on sufficient efficiency conditions are generalized to the case of the ?−efficient solutions. The results thus obtained generalize and unify a wider range of investigations on the theory and applications to the multiobjective fractional programming based on the hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks.