Ranking of decision-making units with fuzzy inputs and outputs using cross-efficiency model and fuzzy ranking function

Subject Areas : International Journal of Data Envelopment Analysis

ٍEskandar Abdolahi ^{1 *}

1 - گروه ریاضی، دانشگاه آزاد اسلامی واحد کرمان، کرمان، ایران

Received: 2024-12-29 Accepted : 2025-02-03 Published : 2025-02-08

Keywords: Data Envelopment Analysis, Cross-Sectional Efficiency, Ranking, Ranking Function,

Abstract :

Many definitions and concepts are uncertain. Here it is necessary to compare uncertain data, in this comparison the decision maker faces a kind of uncertainty that is related to the lack of precise and firm demarcation of concepts. These concepts cannot be argued, inferred and decided with Aristotelian logic, which requires precise and quantitative data. Fuzzy set theory, by using specific models, is able to give mathematical formulation to many concepts, variables and systems that are imprecise and vague and provides the basis for inference and decision-making under conditions of uncertainty. In this article, we will use our efforts in this direction. We will evaluate the decision-making units while the inputs and outputs are fuzzy, and in this evaluation, we will rank the decision-making units with the help of the cross-efficiency model and the use of the fuzzy ranking function.

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