Abstract

In an uncertain environment, the process of fuzzy cross-evaluation in data envelopment analysis (DEA) models is explained by different types of fuzzy data. In this paper, the fuzzy cross-efficiency matrix with different types of fuzzy data will be changed into a cross-evaluation similarity matrix by similarity theory of generalized trapezoidal fuzzy numbers. Based on the fuzzy information retrieval (FIR) method, a new ordered-geometric-mean averaging operator is defined to yield aggregation weights by the relevance between the self-evaluation and cross-evaluation of each decision-making unit (DMU). Furthermore, the common neighbor DMU selection algorithm is constructed to classify the DMUs. Then, the fuzzy logic rules are proposed to modify the aggregation results by combining the clustering results. Finally, this paper demonstrates the applicability of fuzzy cross-efficiency aggregation using the FIR method by taking an example of 12 suppliers from the semiconductor industry.

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