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Abstract Multi-criteria decision making (MCDM) methods are becoming increasingly popular in solving selection problems. The literature review indicates that the majority of the previous studies evaluated and devoted to the comparison of their characteristics and performances under a crisp and fuzzy environment. However, fuzzy set theory cannot be used to completely tackle vague and imprecise data given by decision-makers. Therefore, intuitionistic fuzzy (IF) set theory has been used to establish an ill-defined multiple criteria decisionmaking problems. The objective of this work is to demonstrate and validate the application potential of some MCDM methods in the IF setting for solving one real-time facility location selection problem, in which the criteria values are described in exact (crisp) values form. Firstly, the decision matrix is fuzzified and then transformed into an IF decision matrix. Bhattacharya et al. (2003) facility location selection problem is considered in this work and has been conducted by applying three different MCDM approaches: IF - order of Preference by Similarity to an Ideal Solution (IF-TOPSIS), IF- Grey relational analysis (IF-GRA) and IF-(VlseKriterijumska Optimizacija I Kompromisno Resenje), which in English is multi-criteria optimization and compromise solution (IF- VIKOR).Another objective of this research is to focus on providing sensitivity analysis schemas that can be used to test the reliability of the final decision and by extension the congruent effect produced when certain changes are made to the input parameters within the IF-TOPSIS method. Two schemas are used to evaluate the effect of different approaches on estimating IF criteria weights and different families of distance measures norms to the solution. Obtained results are discussed and compared with the results obtained by previous researchers to assess the impact of the proposed IF- methods used in the result of decision making. |