Solution concepts in multi-objective location problems with variable domination structure
DOI:
https://doi.org/10.14738/aivp.95.10925Keywords:
Multi-objective location problems, Variable domination structure, Minimal solution, Nondominated solutionAbstract
We study multi-objective location problems with respect to a variable domination structure. To solve such problems, we apply minimal and nondominated solutions from vector optimization problems with respect to a variable domination structure. We investigate these solution concepts to be used in multi-objective location problems.
These solution concepts are proposed for multi-objective location problems where variable preferences of objective functions at each location are assumed; our results are applied for selecting a location to establish a new branch.
References
P. Agarwal, M. Sahai, V. Mishra, M. Bag, and V. Singh. A review of multicriteria decision making techniques for supplier evaluation and selection. Int. J. Ind. Eng. Comput., 2: 801-810, 2011.
M.J. Asgharpour. Multiple criteria decision making. Tehran University Publication., 201-203, 1998.
T.Q. Bao, B.S. Mordukhovich, and A. Soubeyran. Variational Analysis in Psychological Modeling. J. Optim. Theory Appl., 164: 290-315, 2014.
T.Q. Bao, B.S. Mordukhovich, and A. Soubeyran. Variational principles in models of behavioral sciences. http://arxiv.org/abs/1311.6017, 2014.
V. Bertsch. Uncertainty handling in multi-attribute decision support for industrial risk management. Universit¨atsverlag Karlsruhe., 2008.
M. Durea, R. Strugariu, and Chr. Tammer. On set-valued optimization problems with variable ordering structure. J Glob Optim., 61: 745-767, 2015.
G. Eichfelder. Vector Optimization in Medical Engineering. In: Pardalos P., Rassias
T. (eds) Mathematics Without Boundaries, Springer, New York, NY., 181-215, 2014.
G. Eichfelder. Variable Ordering Structures in Vector Optimization. Springer-Verlag, Berlin Heidelberg., 2014.
M. Janic, A. Reggiani. An Application of the Multiple Criteria Decision Making (MCDM) Analysis to the Selection of a New Hub Airport. European Journal of Transport and Infrastructure Research., 113-141, 2002.
T. Kirschstein and Ch. Bierwirth. The selective traveling salesman problem with emission rules. OR Spectrum., 40: 97-124, 2018.
L. Th. Tam. Multiobjective approaches based on variable ordering structures for intensity problems in radiotherapy treatment. Investigacion Operacional., 39(3): 426- 448, 2018.
GH. Tzeng and JJ. Huang. Multiple Attribute Decision Making: Methods and Applications. CRC Press Taylor and Francis Group., 57-105, 2011.
GH. Tzeng, TY. Chen, JC. Wang. A weight-assessing method with habitual domains.
European Journal of Operational Research., 110: 342-367, 1998.
N. Vafaei, R.A. Ribeiro, L.M. Camarinha-Matos. Normalization Techniques for Multi- Criteria Decision Making: Analytical Hierarchy Process Case Study. Technological Innovation for Cyber-Physical Systems., 470: 261-269, 2016.
P.L. Yu Cone convexity, cone extreme points, and nondominated solution in decision problems with multiobjectives. J. Optim. Theory Appl., 14: 319-337, 1974.
B. Zargini, AR. Doagooei. Multiobjective location problems with variable domination structure. Investigacion Operacional., 39(3): 449-462, 2018.
B. Zargini. Multicriteria decision making problems using variable weights of criteria based on alternative preferences. American Scientific Research Journal for Engineering, Technology, and Sciences., 74(1): 1-14, 2020.
R. Zanjirani Farahani, M. Steadie Seifi, and N. Asgari. Multiple criteria facility location problems: A survey. Applied Mathematical Modelling., 34, 1689-1709, 2010.
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