A New Parallel Fuzzy Data Envelopment Analysis Model for Parallel Systems with Two Components based on Stackelberg Game Theory

Xiao Shi; Ali Emrouznejad; Minyue Jin; Feng Yang

doi:10.1007/s10700-020-09320-1

A New Parallel Fuzzy Data Envelopment Analysis Model for Parallel Systems with Two Components based on Stackelberg Game Theory

Xiao Shi, Ali Emrouznejad^*, Minyue Jin, Feng Yang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates the problem of efficiency measurement for parallel systems with two components based on Stackelberg game theory, while some inputs/outputs are fuzzy numbers. Conventional DEA models treat DMUs as “Black Boxes”. While in this paper, we propose a new parallel fuzzy DEA model to calculate the efficiency scores for each DMU’s whole system and its sub-systems. Through the Stackelberg (leader–follower) game theory, the whole system’s efficiency score of each DMU is decomposed into a set of efficiency scores for its sub-systems. This approach is independent of the α-cut which reduces the computational efforts. In order to show our method, we use the data from Beasley (J Oper Res Soc 46(4):441–452, 1995) to measure the fuzzy efficiency of the teaching and research efficiencies of chemistry departments in UK universities.

Original language	English
Pages (from-to)	311-332
Number of pages	22
Journal	Fuzzy Optimization and Decision Making
Volume	19
Issue number	3
Early online date	25 Apr 2020
DOIs	https://doi.org/10.1007/s10700-020-09320-1
Publication status	Published - 1 Sept 2020

Bibliographical note

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Keywords

Data envelopment analysis
Fuzzy data
Parallel system
Stackelberg game theory

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Shi2020_Article_ANewParallelFuzzyDataEnvelopme
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Final published version, 362 KBLicence: CC BY 3.0

Cite this

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title = "A New Parallel Fuzzy Data Envelopment Analysis Model for Parallel Systems with Two Components based on Stackelberg Game Theory",

abstract = "This paper investigates the problem of efficiency measurement for parallel systems with two components based on Stackelberg game theory, while some inputs/outputs are fuzzy numbers. Conventional DEA models treat DMUs as “Black Boxes”. While in this paper, we propose a new parallel fuzzy DEA model to calculate the efficiency scores for each DMU{\textquoteright}s whole system and its sub-systems. Through the Stackelberg (leader–follower) game theory, the whole system{\textquoteright}s efficiency score of each DMU is decomposed into a set of efficiency scores for its sub-systems. This approach is independent of the α-cut which reduces the computational efforts. In order to show our method, we use the data from Beasley (J Oper Res Soc 46(4):441–452, 1995) to measure the fuzzy efficiency of the teaching and research efficiencies of chemistry departments in UK universities.",

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N2 - This paper investigates the problem of efficiency measurement for parallel systems with two components based on Stackelberg game theory, while some inputs/outputs are fuzzy numbers. Conventional DEA models treat DMUs as “Black Boxes”. While in this paper, we propose a new parallel fuzzy DEA model to calculate the efficiency scores for each DMU’s whole system and its sub-systems. Through the Stackelberg (leader–follower) game theory, the whole system’s efficiency score of each DMU is decomposed into a set of efficiency scores for its sub-systems. This approach is independent of the α-cut which reduces the computational efforts. In order to show our method, we use the data from Beasley (J Oper Res Soc 46(4):441–452, 1995) to measure the fuzzy efficiency of the teaching and research efficiencies of chemistry departments in UK universities.

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A New Parallel Fuzzy Data Envelopment Analysis Model for Parallel Systems with Two Components based on Stackelberg Game Theory

Abstract

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Keywords

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