Geodesic
On scalarization of vector optimization type problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 8-18

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We consider scalarization issues for vector problems in the case when the preference relation is represented by a rather arbitrary set. We propose an algorithm for weights choice for a priori unknown preference relations. We give some examples of applications to vector optimization problems, game equilibrium ones, and to variational inequalities.
Keywords: vector problems, scalarization, algorithm for weights choice. 
@article{IVM_2012_9_a1,
     author = {I. V. Konnov},
     title = {On scalarization of vector optimization type problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {8--18},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_9_a1/}
}
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I. V. Konnov. On scalarization of vector optimization type problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 8-18. http://geodesic.mathdoc.fr/item/IVM_2012_9_a1/