Example of data envelopment analysis method based on partially ordered set theory

Authors

  • Tseveennamjil Damiran National Development Institute, Ministry of Economy and Development, Ulaanbaatar 15141, Mongolia
  • Amarzaya Amartuvshin Department of Mathematics, School of Science, National University of Mongolia, Ulaanbaatar 14200, Mongolia https://orcid.org/0009-0004-6186-3165

DOI:

https://doi.org/10.5564/jimdt.v6i1.3608

Keywords:

Input and output components, Efficiency value, Efficiency frontier

Abstract

This paper presents results from applying Data Envelopment Analysis (DEA) based on Partially Ordered Set Theory to selected macroeconomic data from Mongolia involving multiple inputs and outputs. The aim is to demonstrate how hybrid models such as zhdea_or, zhdea_dual, and gydea_dual can be utilized in efficiency evaluation within a macroeconomic framework.

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Author Biography

Tseveennamjil Damiran, National Development Institute, Ministry of Economy and Development, Ulaanbaatar 15141, Mongolia

Department of Statistics and Econometrics, School of Economics and Business, Mongolian University of Life Sciences, Ulaanbaatar 17024, Mongolia

References

[1] Ma Zhanxin, “Research on the application of partial order set theory in DEA related heories,”

Journal of Systems Engineering, Vol. 17, no. 3, pp. 193–198, 2002.

[2] Ma Zhanxin, “Data envelopment analysis model and method,” Beijing: Science Press, 2010.

[3] Tang Huanwen, Dai Yangshan, Ma Zhanxin, “Research on the application of partial order set

theory in data envelopment analysis,” Journal of Systems Engineering, Vol. 17, no. 1, pp. 19–25,

2002.

[4] Ma Zhanxin, “Research on data envelopment analysis method based on partial order set theory,”Systems Engineering Theory and Practice, Vol. 23, no. 4, pp. 11–16, 2003.

[5] Muren, Ma Zhanxin, Cui Wei, “Data envelopment analysis model and method,” Systems

Engineering and Electronic Technology, Vol. 35, no. 2, pp. 350–356, 2013.

[6] Muren, Li Meng, Ma Zhanxin, “A new method for determining partial order relationship in

data envelopment analysis method,” Journal of Inner Mongolia University (Natural Science

Edition), Vol. 47, no. 1, pp. 1–7, 2016, https://doi.org/10.3183/NPPRJ-2015-30-02-p335-342.

[7] Muren, Ma Zhanxin, Wen Zongchuan, “Establishment of partial order relationship of decision making unit in data envelopment analysis method,” Journal of Inner Mongolia University (Natural Science Edition), Vol. 47, no. 11, pp. 103–108, 2016.

[8] Muren, Ma Zhanxin, “Mining and establishment of special relationship of decision-making unit, ”Control and Decision, Vol. 30, no. 2, pp. 335–342, 2015.

[9] Muren, Ma Zhanxin, Chang Qing, “Data envelopment analysis method based on lattice theory, ”Systems Engineering and Electronics, Vol. 36, no. 9, pp. 1782–1787, 2014.

[10] Tang Huanwen, Ma Zhanxin, “Research and application of sample data envelopment surface, ”Systems Engineering - Theory and Practice, Vol. 23, no. 12, pp. 32–37, 2003.

[11] Ma Zhanxin, “Characteristics of DEA effective unit and SEA method,” Journal of Dalian

University of Technology, Vol. 39, no. 4, pp. 577–582, 1999.

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Published

2024-12-27

How to Cite

Damiran, T., & Amartuvshin, A. (2024). Example of data envelopment analysis method based on partially ordered set theory. Journal of Institute of Mathematics and Digital Technology, 6(1), 40–47. https://doi.org/10.5564/jimdt.v6i1.3608

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