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 and Feng Yang
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Xiao Shi: Shandong University of Finance and Economics
Ali Emrouznejad: Aston University
Minyue Jin: University of Science and Technology of China
Feng Yang: University of Science and Technology of China

Fuzzy Optimization and Decision Making, 2020, vol. 19, issue 3, No 4, 332 pages

Abstract: 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 $$ \alpha $$ 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.

Keywords: Fuzzy data; Data envelopment analysis; Parallel system; Stackelberg game theory (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10700-020-09320-1

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