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

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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Autor principal: Verma,Ram U
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:
Generalized invexity
Multiobjective fractional programming
Efficient solutions
?−efficient solutions
Parametric sufficient efficiency conditions
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100004
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spelling oai:scielo:S0719-064620150001000042018-10-08Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problemsVerma,Ram U Generalized invexity Multiobjective fractional programming Efficient solutions ?−efficient solutions Parametric sufficient efficiency conditions 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.1 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100004en10.4067/S0719-06462015000100004
institution Scielo Chile
collection Scielo Chile
language English
topic Generalized invexity
Multiobjective fractional programming
Efficient solutions
?−efficient solutions
Parametric sufficient efficiency conditions
spellingShingle Generalized invexity
Multiobjective fractional programming
Efficient solutions
?−efficient solutions
Parametric sufficient efficiency conditions
Verma,Ram U
Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
description 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.
author Verma,Ram U
author_facet Verma,Ram U
author_sort Verma,Ram U
title Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
title_short Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
title_full Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
title_fullStr Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
title_full_unstemmed Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
title_sort hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100004
work_keys_str_mv AT vermaramu hybrid9349369619509528722invexityframeworksandefficiencyconditionsformultiobjectivefractionalprogrammingproblems
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