A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment

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ARYA A.; YADAV S.P.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:2 Page(s): 183-199

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Information Journal Paper

Title

A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment

Author(s)

ARYA A. | YADAV S.P. | Issue Writer Certificate

Keywords

IF CCR efficiencyQ2

IF CCR super efficiencyQ2

IFBCC efficiencyQ2

IFBCC super efficiencyQ2

infeasibilityQ2

rankingQ2

Abstract

Data envelopment analysis (DEA) is a linear programming based methodology to determine the relative performance efficiencies of homogeneous decision making units (DMUs). In real world applications, some input and output datas do not possess crisp/fuzzy essence but they possess intuitionistic fuzzy (IF) essence. So, in this study, we develop an IF BCC (IFBCC) and an IF super efficiency BCC (IFSEBCC) model with triangular IF numbers (TIFNs) input/output data. Firstly, the efficiencies of DMUs are determined using IFBCC model. If DMUs are efficient then the super efficiencies of DMUs are determined using IFSEBCC model. If DMUs do not have feasible (finite) efficiencies/super eficiencies in intuitionistic fuzzy environment, then we can not rank the DMUs. Therefore, we develop IF models to determine the efficiencies of DMUs and ranking the DMUs in the presence of infeasibility in intuitionistic fuzzy environment. Two illustrative examples and one real life application are provided to illustrate the applications of the proposed IF models. Finally, comparison has been performed with the existing crisp models.

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APA: Copy

ARYA, A., & YADAV, S.P.. (2020). A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(2 ), 183-199. SID. https://sid.ir/paper/377181/en

Vancouver: Copy

ARYA A., YADAV S.P.. A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(2 ):183-199. Available from: https://sid.ir/paper/377181/en

IEEE: Copy

A. ARYA, and S.P. YADAV, “A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 2 , pp. 183–199, 2020, [Online]. Available: https://sid.ir/paper/377181/en

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