Authors: Alka Arya; Shiv Prasad Yadav
Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India
Abstract: In conventional input-oriented mix efficiency (IOME), the input-output data are crisp numbers. But these data fluctuate in real world applications. Intuitionistic fuzzy set (IFS) theory can be used to solve such problem. In this paper, models are proposed to determine intuitionistic fuzzy input-oriented mix-efficiency (IFIOME) with IF input and IF output data. For determining IFIOME, intuitionistic fuzzy input-oriented CCR (IFIOCCR) model and intuitionistic fuzzy input-oriented slack-based measure (IFIOSBM) model are proposed with IF input-output data. These models are solved by using expected values of intuitionistic fuzzy numbers (IFNs). Based on IFIOME, a ranking method is developed to rank the DMUs. Also, the intuitionistic fuzzy correlation coefficient (IFCC) between IF variables is proposed to validate the proposed models. To validate the proposed models, an illustrative example and a health sector application are presented.
Keywords: intuitionistic fuzzy input-oriented CCR model; intuitionistic fuzzy input-oriented SBM model; intuitionistic fuzzy input-oriented mix-efficiency; IFIOME; hospital efficiency.
International Journal of Operational Research, 2022 Vol.44 No.1, pp.34 - 57
Received: 27 Jan 2019
Accepted: 25 Jul 2019
Published online: 23 May 2022 *