ADVANCED MULTI-ATTRIBUTE DECISION-MAKING: A PICTURE FUZZY EINSTEIN OPERATOR AND TOPSIS APPROACH

Multi-attribute decision-making (MADM) is a critical area of research in decision theory, often utilized for evaluating and selecting alternatives in complex scenarios. This paper introduces an innovative decision-making approach by combining the Picture Fuzzy Einstein Operator (PFE) with the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method. Picture fuzzy sets offer a rich representation of uncertainty and vagueness, which is essential for real-world decision problems. The Einstein operation serves as a flexible aggregation method for combining information from multiple sources. By incorporating the TOPSIS method, which ranks alternatives based on their distance from an ideal solution, we aim to enhance the accuracy and robustness of decision-making. The paper applies the proposed method to a practical example to demonstrate its efficacy and compares it with traditional fuzzy set-based approaches.