A new parallel fuzzy data envelopment analysis model for parallel systems with two components based on Stackelberg game theory. (English) Zbl 1455.90097
Summary: 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 \(\alpha \)-cut which reduces the computational efforts. In order to show our method, we use the data from [J. E. Beasley, J. Oper. Res. Soc. 46, No. 4, 441–452 (1995; Zbl 0830.90091)] to measure the fuzzy efficiency of the teaching and research efficiencies of chemistry departments in UK universities.
Citations:
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