Theory of binary-valued data envelopment analysis: an application in assessing the sustainability of suppliers Karimi, B, Azadi, Majid, Farzipoor Saen, R and Fosso Wamba, S 2022, Theory of binary-valued data envelopment analysis: an application in assessing the sustainability of suppliers, Industrial Management and Data Systems, vol. 122, no. 3, pp. 682-701, doi: 10.1108/IMDS-09-2021-0555. Attached Files Name Description MIMEType Size Downloads Title Theory of binary-valued data envelopment analysis: an application in assessing the sustainability of suppliers Author(s) Karimi, B Azadi, Majid orcid.org/0000-0002-6865-7637 Farzipoor Saen, R Fosso Wamba, S Journal name Industrial Management and Data Systems Volume number 122 Issue number 3 Start page 682 End page 701 Total pages 20 Publisher Emerald Place of publication Bingley, Eng. Publication date 2022-03-15 ISSN 0263-5577 1758-5783 Keyword(s) Binary-valued data CHAIN Computer Science Computer Science, Interdisciplinary Applications CONGESTION Data envelopment analysis (DEA) EFFICIENCY Efficiency measurement Engineering Engineering, Industrial INTEGER DATA Integer-valued data MANAGEMENT MODEL MULTIOBJECTIVE OPTIMIZATION PERFORMANCE EVALUATION Science & Technology SELECTION Sustainable suppliers Technology Summary PurposeThe objective of this study is to present a binary-valued data envelopment analysis (DEA) theory. The authors’ proposed approach, for the first time, combines binary-valued and integer-valued theories concurrently in the DEA context. To do so, new production possibility sets (PPSs) with some distinguished features are developed.Design/methodology/approachThe authors address integer inputs and outputs in the proposed approach by introducing a new PPS.FindingsTo take into account the binary data, the authors develop axiomatic DEA principles. The binary production principles guarantee any combination of convexity and feasibility. Furthermore, the authors develop a new DEA model to consider integer and real data. A case study is presented to show the usefulness of the developed models. Using the proposed models, the authors obtained benchmarks to solve the sustainable supplier selection problems.Originality/value(1) For the first time, binary-valued and integer-valued theories are presented in an integrated DEA model. (2) To deal with the pure binary data, a new PPS is proposed. (3) To consider real, integer and binary data, a new PPS is introduced. (4) New technologies are developed to propose feasible solutions. (5) The proposed models can project inefficient decision-making units (DMUs) on efficiency frontier given binary, integer and real data. (6) A case study is given for the performance evaluation of sustainable suppliers. Language eng DOI 10.1108/IMDS-09-2021-0555 Field of Research 0803 Computer Software 0806 Information Systems HERDC Research category C1 Refereed article in a scholarly journal Persistent URL http://hdl.handle.net/10536/DRO/DU:30162491 Document type: Journal Article Collections: Faculty of Business and Law Department of Marketing Related Links Link Description Connect to published version Go to link with your DU access privileges   Connect to Elements publication management system Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Tue, 15 Feb 2022, 06:59:41 EST Tue, 15 Feb 2022, 15:56:24 EST Tue, 15 Feb 2022, 15:57:49 EST Sat, 26 Feb 2022, 01:31:04 EST Thu, 26 May 2022, 10:13:05 EST Fri, 27 May 2022, 17:18:13 EST Mon, 11 Jul 2022, 14:00:36 EST Mon, 11 Jul 2022, 14:05:44 EST Mon, 11 Jul 2022, 14:14:02 EST Filtered Full Citation counts:   Cited 2 times in TR Web of Science Cited 2 times in Scopus Search Google Scholar Access Statistics: 14 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Thu, 26 May 2022, 10:13:05 EST