Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming
This paper proposes a new method to evaluate Decision Making Units (DMUs) under uncertainty using fuzzy Data Envelopment Analysis (DEA). In the proposed multi-objective nonlinear programming methodology both the objective functions and the constraints are considered fuzzy. This model is comprehensiv...
| Main Authors: | , , , , , , |
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| Format: | Article |
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Taylor & Francis
2016
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| Online Access: | https://eprints.nottingham.ac.uk/37045/ |
| _version_ | 1848795380881293312 |
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| author | Zerafat Angiz, M. Nawawi, M.K.M. Khalid, R. Mustafa, A. Emrouznejad, A. John, Robert Kendall, Graham |
| author_facet | Zerafat Angiz, M. Nawawi, M.K.M. Khalid, R. Mustafa, A. Emrouznejad, A. John, Robert Kendall, Graham |
| author_sort | Zerafat Angiz, M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This paper proposes a new method to evaluate Decision Making Units (DMUs) under uncertainty using fuzzy Data Envelopment Analysis (DEA). In the proposed multi-objective nonlinear programming methodology both the objective functions and the constraints are considered fuzzy. This model is comprehensive in dealing with uncertainty, in the sense that coefficients of the decision variables in the objective functions and in the constraints, as well as the DMUs under assessment, are assumed to be fuzzy numbers with triangular membership functions. A comparison between the current fuzzy DEA models and the proposed method is illustrated by a numerical example. |
| first_indexed | 2025-11-14T19:31:10Z |
| format | Article |
| id | nottingham-37045 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:31:10Z |
| publishDate | 2016 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-370452020-05-04T18:17:09Z https://eprints.nottingham.ac.uk/37045/ Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming Zerafat Angiz, M. Nawawi, M.K.M. Khalid, R. Mustafa, A. Emrouznejad, A. John, Robert Kendall, Graham This paper proposes a new method to evaluate Decision Making Units (DMUs) under uncertainty using fuzzy Data Envelopment Analysis (DEA). In the proposed multi-objective nonlinear programming methodology both the objective functions and the constraints are considered fuzzy. This model is comprehensive in dealing with uncertainty, in the sense that coefficients of the decision variables in the objective functions and in the constraints, as well as the DMUs under assessment, are assumed to be fuzzy numbers with triangular membership functions. A comparison between the current fuzzy DEA models and the proposed method is illustrated by a numerical example. Taylor & Francis 2016-10-14 Article PeerReviewed Zerafat Angiz, M., Nawawi, M.K.M., Khalid, R., Mustafa, A., Emrouznejad, A., John, Robert and Kendall, Graham (2016) Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming. INFOR: Information Systems and Operational Research, 55 (1). ISSN 1916-0615 Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming http://www.tandfonline.com/doi/abs/10.1080/03155986.2016.1240944?journalCode=tinf20 doi:10.1080/03155986.2016.1240944 doi:10.1080/03155986.2016.1240944 |
| spellingShingle | Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming Zerafat Angiz, M. Nawawi, M.K.M. Khalid, R. Mustafa, A. Emrouznejad, A. John, Robert Kendall, Graham Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title | Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title_full | Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title_fullStr | Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title_full_unstemmed | Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title_short | Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| title_sort | evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming |
| topic | Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming |
| url | https://eprints.nottingham.ac.uk/37045/ https://eprints.nottingham.ac.uk/37045/ https://eprints.nottingham.ac.uk/37045/ |