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This paper presents a new approach for the treatment of uncertainty and imprecision based on interval-valued fuzzy-rough numbers (IVFRNs). IVFRNs make decision making possible using only the internal knowledge from the data, using objective indeterminacy without the need to rely on models of assumption. By using IVFRN, instead of subjectively entering external uncertainties, the structure of the given data is used. Taking into account the given assumptions, an original multi-criteria model was developed based upon the IVFR approach. In the multi-criteria model the traditional MAIRCA (Multi-Attribute Ideal-Real Comparative Analysis) method was modified. Testing and validation of the model was carried out by means of a case study in which the selection of the optimal landing operations point for overcoming water obstacles was considered. A sensitivity analysis of the IVFRN MAIRCA model was carried out through 24 scenarios which showed a high degree of stability of the results.

Application of interval valued fuzzy-rough numbers in multi-criteria decision making: The IVFRN-MAIRCA model