RANKING TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBERS USING ORTHOCENTER OF CENTROIDS: A NEW APPROACH

In this paper, a ranking method for Trapezoidal Intuitionistic Fuzzy Numbers (TrIFNs) based on the orthocenter of centroids is proposed. The proposed approach effectively handles the uncertainty and vagueness associated with TrIFNs, enabling more accurate and reliable decision-making. The orthocenter of centroids is used to calculate a crisp ranking value, facilitating the comparison of TrIFNs. The method's validity and efficiency are demonstrated through numerical examples and comparative analyses with existing ranking methods. Results show that the proposed approach outperforms existing methods in terms of accuracy. This work contributes to the development of intuitionistic fuzzy decision-making theories and applications, particularly in fields such as multi-criteria decision-making, risk assessment, and optimization. 2020 Mathematics Subject Classification: 03E72, 03B52.