Ranking efficient DMUs using the Tchebycheff norm with fuzzy data in DEA

• Main Authors: S. H. Mirzaei, A. Salehi
• Format: Article
• Language: English
• Published: Ayandegan Institute of Higher Education, 2019-06-01
• Series: International Journal of Research in Industrial Engineering
• Subjects: data envelopment analysis; ranking; tchebycheff norm; fuzzy system
• Online Access: http://www.riejournal.com/article_88475_9188efbe5ce5fb746a8b859816eeef1b.pdf

In many real applications, the data of production processes cannot be precisely measured. Hence the input and output of Decision Making Units (DMUs) in Data Envelopment Analysis (DEA) may be imprecise or fuzzy-numbered. In original DEA models, inputs and outputs are measured by exact values on a ratio scale, therefore conventional DEA can't easily measure the performance of DMUs and rank them. The researchers have introduced mane deferent model for ranking DMUs by fuzzy number. In this paper, we proposed a new method by using the Tchebycheff norm for ranking DMUs with fuzzy data. We explain our method by numerical example with the triangular fuzzy number.