ICIFSS, 8–10 January 2018, Erode, Tamil Nadu, India Notes on Intuitionistic Fuzzy Sets Print ISSN 1310–4926, Online ISSN 2367–8283 Vol. 24, 2018, No. 1, 131–140 DOI: 10.7546/nifs.2018.24.1.131-140 Development of intuitionistic fuzzy integrated super-efficiency SBM model Alka Arya and Shiv Prasad Yadav Department of Mathematics, Indian Institute of Technology, Roorkee, India e-mails: alka1dma@iitr.ac.in, yadavfma@iitr.ac.in Received: 24 October 2017 Revised: 2 December 2017 Accepted: 4 December 2017 Abstract: Slack based measure (SBM) model determines the performance efficiency of homo- geneous decision making units (DMUs) and also determines the efficient and inefficient DMUs. super-efficiency SBM (SESBM) model determines the efficiency of efficient DMUs. Guo et al. [7] proposed an integrated super-efficiency SBM (ISESBM) model which determines the effi- ciency and super-efficiency of DMUs using one model. In conventional ISESBM, the data is crisp. But it fluctuates in the real world applications. Such data can take the form of fuzzy / in- terval / intuitionistic fuzzy (IF) numbers. In this paper, we propose an IF ISESBM (IFISESBM) model using expected value of intuitionistic fuzzy numbers (IFNs). Finally, a health sector appli- cation of the proposed model is presented with two IF inputs and two IF outputs. Keywords: Integrated super-efficiency slack based measure, Intuitionistic fuzzy integrated super- efficiency slack based measure, Posterior efficiency. 2010 Mathematics Subject Classification: 03E72. 1 Introduction Slack based measure (SBM) model which is non-radial measure model based on slacks proposed by Tone et al. [12] determines the efficiencies, efficient and inefficient decision making units (DMUs). Tone et al. [13] proposed super-efficiency SBM (SESBM) model to determine the effi- cient DMUs. Du et al. [6] extended the SESBM model to additive SESBM model. In this model, firstly efficient DMUs are determined and then additive SESBM model is applied to determine the efficiencies of efficient DMUs. Guo et al. [7] proposed a model to determine the efficiencies and super efficiencies using one model which is known as integrated SESBM (ISESBM) model. 131