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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. p. 195-200 8109870.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Zakharov, A 2017, Reduction of the Pareto set in multicriteria economic problem with CES functions. in Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017., 8109870, Institute of Electrical and Electronics Engineers Inc., pp. 195-200, 2017 International Multi-Conference on Engineering, Computer and Information Sciences, Novosibirsk, Russian Federation, 18/09/17. https://doi.org/10.1109/SIBIRCON.2017.8109870

APA

Zakharov, A. (2017). Reduction of the Pareto set in multicriteria economic problem with CES functions. In Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 (pp. 195-200). [8109870] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIBIRCON.2017.8109870

Vancouver

Zakharov A. Reduction of the Pareto set in multicriteria economic problem with CES functions. In Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 195-200. 8109870 https://doi.org/10.1109/SIBIRCON.2017.8109870

Author

Zakharov, Alexey. / Reduction of the Pareto set in multicriteria economic problem with CES functions. Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 195-200

BibTeX

@inproceedings{9555196b6a5c4801b463f9daed255695,
title = "Reduction of the Pareto set in multicriteria economic problem with CES functions",
abstract = "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.",
keywords = "Multicriteria choice problem, Preference relation of the DM, Production function, The Pareto set",
author = "Alexey Zakharov",
year = "2017",
month = nov,
day = "14",
doi = "10.1109/SIBIRCON.2017.8109870",
language = "English",
pages = "195--200",
booktitle = "Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 ; Conference date: 18-09-2017 Through 22-09-2017",
url = "http://sibircon.ieeesiberia.org/register.php",

}

RIS

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