Geodesic
Weighted scalarization related to $L_p$-metric and pareto optimality
Kybernetika, Tome 44 (2008) no. 5, pp. 731-740

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Relations between (proper) Pareto optimality of solutions of multicriteria optimization problems and solutions of the minimization problems obtained by replacing the multiple criteria with $L_p$-norm related functions (depending on the criteria, goals, and scaling factors) are investigated.
Relations between (proper) Pareto optimality of solutions of multicriteria optimization problems and solutions of the minimization problems obtained by replacing the multiple criteria with $L_p$-norm related functions (depending on the criteria, goals, and scaling factors) are investigated.
Classification : 90C29
Keywords: multicriteria optimization; (proper) Pareto optimality; scalarization; $L_p$-norm 
Šipošová, Alexandra. Weighted scalarization related to $L_p$-metric and pareto optimality. Kybernetika, Tome 44 (2008) no. 5, pp. 731-740. http://geodesic.mathdoc.fr/item/KYB_2008_44_5_a8/
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     title = {Weighted scalarization related to $L_p$-metric and pareto optimality},
     journal = {Kybernetika},
     pages = {731--740},
     year = {2008},
     volume = {44},
     number = {5},
     mrnumber = {2479315},
     zbl = {1180.90281},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008_44_5_a8/}
}
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