Dear,

Yes you can. Kindly see the following papers. All of them are using likert data.

Alan J. Stolzer, Mark A. Friend, Dothang Truong, William A. Tuccio, Marisa Aguiar,

Measuring and evaluating safety management system effectiveness using Data Envelopment Analysis,

Safety Science,

Volume 104,

2018,

Pages 55-69,

ISSN 0925-7535,

https://doi.org/10.1016/j.ssci.2017.12.037.

(http://www.sciencedirect.com/science/article/pii/S0925753517305659)

Keywords: SMS; Aviation SMS; SMS criteria; SMS measurement; SMS effectiveness; Data Envelopment Analysis

Dear,

Yes you can. Kindly see the following papers. All of them are using likert data.

Alan J. Stolzer, Mark A. Friend, Dothang Truong, William A. Tuccio, Marisa Aguiar,

Measuring and evaluating safety management system effectiveness using Data Envelopment Analysis,

Safety Science,

Volume 104,

2018,

Pages 55-69,

ISSN 0925-7535,

https://doi.org/10.1016/j.ssci.2017.12.037.

(http://www.sciencedirect.com/science/article/pii/S0925753517305659)

Keywords: SMS; Aviation SMS; SMS criteria; SMS measurement; SMS effectiveness; Data Envelopment Analysis

Hadi Shabanpour, Saeed Yousefi, Reza Farzipoor Saen,

Forecasting efficiency of green suppliers by dynamic data envelopment analysis and artificial neural networks,

Journal of Cleaner Production,

Volume 142, Part 2,

2017,

Pages 1098-1107,

ISSN 0959-6526,

https://doi.org/10.1016/j.jclepro.2016.08.147.

(http://www.sciencedirect.com/science/article/pii/S0959652616313117)

Keywords: Artificial neural networks; Dynamic data envelopment analysis; Green supplier selection; Forecasting of future efficiency

Hakyeon Lee, Chulhyun Kim,

Benchmarking of service quality with data envelopment analysis,

Expert Systems with Applications,

Volume 41, Issue 8,

2014,

Pages 3761-3768,

ISSN 0957-4174,

https://doi.org/10.1016/j.eswa.2013.12.008.

(http://www.sciencedirect.com/science/article/pii/S095741741300972X)

Keywords: Benchmarking; Service quality; Data envelopment analysis (DEA); SERVQUAL; SERVPERF

Amirali Fathi, Reza Farzipoor Saen,

A novel bidirectional network data envelopment analysis model for evaluating sustainability of distributive supply chains of transport companies,

Journal of Cleaner Production,

Volume 184,

2018,

Pages 696-708,

ISSN 0959-6526,

https://doi.org/10.1016/j.jclepro.2018.02.256.

(http://www.sciencedirect.com/science/article/pii/S0959652618305882)

Keywords: Sustainable transportation; Sustainable supply chain management; Data envelopment analysis (DEA); Network DEA; Bidirectional connections; Backward connections

Thank you @Saeed for the information.