Extension of the PROBID Method to the Pythagorean Fuzzy Sets for Multi-Criteria Decision Making

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International Journal of Pure and Applied Sciences
Cilt: 11 Sayı: 2
Extension of the PROBID Method to the Pythagorean Fuzzy Sets for Multi-Criteria Decision Making

Extension of the PROBID Method to the Pythagorean Fuzzy Sets for Multi-Criteria Decision Making

Pages : 656-675

View : 58 | Download : 191

Publication Date : 2025-12-29

Article Type : Research Paper

Abstract :In this study, we extend the classical PROBID (Preference Ranking on the Basis of Optimal–Mean Distance) method into the Pythagorean fuzzy environment and propose Pythagorean Fuzzy PROBID (PyF-PROBID) method. The proposed method combines the structural robustness of PROBID with the high representational capability of Pythagorean fuzzy sets to better capture uncertainty and hesitation in real life human judgments. Unlike conventional distance-based MCDM methods, PyF-PROBID evaluates alternatives not only in terms of positive and negative optimal solutions but also with respect to sequential optimal and mean reference solutions, thus reducing rank reversal and inconsistency problems. A numerical example, the evaluation of domestic airline service quality, is presented to demonstrate the applicability of the model. A comparison section is provided with the results of existing PyF-TOPSIS and PyF-MABAC methods. The comparative analysis shows that PyF-PROBID produces stable and consistent rankings, aligning well with alternative Pythagorean fuzzy decision-making schemes. Therefore, the proposed method provides a more flexible, coherent, and reliable framework for multi-criteria decision analysis under uncertainty.
Keywords : Pisagor bulanık kümeler, PROBID, ÇKKV

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