A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1445-1463.

Possibilistic programming approach is one of the most popular methods used to cope with epistemic uncertainty in optimization models. In this paper, several robust fuzzy data envelopment analysis (RFDEA) models are proposed by the use of different fuzzy measures including possibility, necessity and credibility measures. Despite the regular fuzzy DEA methods, the proposed models are able to endogenously adjust the confidence level of each constraints and produce both conservative and non-conservative methods based on various fuzzy measures. The developed RFDEA models are then linearized and numerically compared to regular fuzzy DEA models. Illustrative results in all of the FDEA and RFDEA models show that, maximum efficiency is obtained for possibility, credibility and necessity-based models, respectively.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018019
Classification : 90C05, 28E10, 90C70
Mots-clés : Data envelopment analysis, fuzzy DEA, robust fuzzy DEA, robust optimization, uncertainty, possibility measure, necessity measure, credibility measure
Peykani, Pejman 1 ; Mohammadi, Emran 1 ; Pishvaee, Mir Saman 1 ; Rostamy-Malkhalifeh, Mohsen 1 ; Jabbarzadeh, Armin 1

1 
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     author = {Peykani, Pejman and Mohammadi, Emran and Pishvaee, Mir Saman and Rostamy-Malkhalifeh, Mohsen and Jabbarzadeh, Armin},
     title = {A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1445--1463},
     publisher = {EDP-Sciences},
     volume = {52},
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Peykani, Pejman; Mohammadi, Emran; Pishvaee, Mir Saman; Rostamy-Malkhalifeh, Mohsen; Jabbarzadeh, Armin. A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1445-1463. doi : 10.1051/ro/2018019. http://www.numdam.org/articles/10.1051/ro/2018019/

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