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Providing an uncertain model for evaluating the performance of a basic two-stage system

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Abstract

In the present study, a basic two-stage system for uncertain conditions was evaluated. A key factor in DEA studies is the use of accurate measurement of all factors. However, in many cases, such as the release of carbon dioxide and the production system, inputs and outputs are very volatile. Volatile cases commonly were studied by using pre-known information in which fuzzy theory or probability theory was applied. In the absence of knowledge for probability and fuzzy theories, it is possible to use an expert’s belief degrees for modeling. For such cases, uncertainty theory can be applied which was introduced by Liu (Uncertainty theory, Springer, Berlin, 2007). In this study, a basic two-stage model was extended to consider uncertain conditions. Several theorems were presented to discuss some features of the introduced model. When the data had a linear distribution, the efficiencies of the system and sub-system were calculated. Finally, a numerical example was presented to illustrate the proposed model.

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Authors and Affiliations

  1. Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

    Jafar Pourmahmoud & Narges Bagheri

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  1. Jafar Pourmahmoud
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  2. Narges Bagheri
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Correspondence to Jafar Pourmahmoud.

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Communicated by V. Loia.

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Pourmahmoud, J., Bagheri, N. Providing an uncertain model for evaluating the performance of a basic two-stage system. Soft Comput 25, 4739–4748 (2021). https://doi.org/10.1007/s00500-020-05481-8

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