Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
Reduction of the Pareto set in multicriteria economic problem with CES functions. / Zakharov, Alexey.
Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. стр. 195-200 8109870.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
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TY - GEN
T1 - Reduction of the Pareto set in multicriteria economic problem with CES functions
AU - Zakharov, Alexey
PY - 2017/11/14
Y1 - 2017/11/14
N2 - A multicriteria economic problem is considered: the basic production assets and the labor resources define a set of feasible solutions (alternatives); labor costs, costs of the basic production assets (to be minimized), and cost of the manufactured products (to be maximized) are objective functions. The production function with constant elasticity of substitution is used. The decision maker's (DM's) preferences are introduced as follows: lower labor costs and costs of the basic production assets have the greater importance than higher income, and vice a versa. The fuzzy preferences along with the compromise have a degree of its confidence. Such crisp and fuzzy information is applied in the axiomatic approach of the Pareto set reduction by V. D. Noghin. We show how to construct a set, which is an upper bound of the optimal choice and belongs to the Pareto set of the problem in crisp and fuzzy cases. In fuzzy case one should solve a three crisp multicriteria problems. Thus, upon the crisp and fuzzy DM's preferences a narrower upper bounds of the optimal set of resources with respect to criteria and additional information are obtained.
AB - A multicriteria economic problem is considered: the basic production assets and the labor resources define a set of feasible solutions (alternatives); labor costs, costs of the basic production assets (to be minimized), and cost of the manufactured products (to be maximized) are objective functions. The production function with constant elasticity of substitution is used. The decision maker's (DM's) preferences are introduced as follows: lower labor costs and costs of the basic production assets have the greater importance than higher income, and vice a versa. The fuzzy preferences along with the compromise have a degree of its confidence. Such crisp and fuzzy information is applied in the axiomatic approach of the Pareto set reduction by V. D. Noghin. We show how to construct a set, which is an upper bound of the optimal choice and belongs to the Pareto set of the problem in crisp and fuzzy cases. In fuzzy case one should solve a three crisp multicriteria problems. Thus, upon the crisp and fuzzy DM's preferences a narrower upper bounds of the optimal set of resources with respect to criteria and additional information are obtained.
KW - Multicriteria choice problem
KW - Preference relation of the DM
KW - Production function
KW - The Pareto set
UR - http://www.scopus.com/inward/record.url?scp=85040520789&partnerID=8YFLogxK
U2 - 10.1109/SIBIRCON.2017.8109870
DO - 10.1109/SIBIRCON.2017.8109870
M3 - Conference contribution
AN - SCOPUS:85040520789
SP - 195
EP - 200
BT - Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 International Multi-Conference on Engineering, Computer and Information Sciences
Y2 - 18 September 2017 through 22 September 2017
ER -
ID: 18302216