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Kybernetika 44(5):731-740, 2008.

Weighted Scalarization Related to Lp-metric and Pareto Optimality

Alexandra Šipošová


Abstract:

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.


Keywords: multicriteria optimization; (proper) Pareto optimality; scalarization; $L_p$-norm;


AMS: 90C29;


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BIB TeX

@article{kyb:2008:5:731-740,

author = {\v{S}ipo\v{s}ov\'{a}, Alexandra },

title = {Weighted Scalarization Related to {\em L}$_p$-metric and Pareto Optimality},

journal = {Kybernetika},

volume = {44},

year = {2008},

number = {5},

pages = {731-740}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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