Resource Allocation in Data Envelopment Analysis on Fuzzy inputs and outputs

Subject Areas : تحقیق در عملیات

Esmat Noroozi ¹ , Hamid SHarafi ²

1 - Department of Mathematics, East Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Received: 2022-02-15 Accepted : 2022-11-30 Published : 2023-07-23

Keywords: نظریه فازی, واحد تصمیم‌گیری, تحلیل پوششی داده‌ها, کارایی, تخصیص,

Abstract :

Abstract: Data envelopment analysis technique is used to evaluate the relative efficiency of a set of decision-making units that have been studied in different fields. One of the important issues in data envelopment analysis is sensitivity analysis. Many articles have been presented in this field by researchers, sometimes managers are concentrating on issues that would be critical to allocate a fixed cost to decision-making units. Since in real problems the primary data are not precise but interval, ordinal, and qualitative therefore this study have been discussed this issue and present a model for assigning a fuzzy fixed cost to decision-making units. Moreover, the inputs and outputs of all units are assumed to be fuzzy and the allocation of new costs should be such that the highest number of inefficient units become efficient. At the end, this model has been utilized in two numerical examples and the results have been presented.

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