Picture Fuzzy Multisets with Application in Career Determination

Career determination is a vital decision-making process that often involves significant uncertainty and indecision. This paper introduces a new distance measure and a similarity measure based on picture fuzzy multisets. Also, it is shown that the distance measure satisfies the metric properties and the new similarity measure satisfies the conditions for the similarity measure. Lastly, using a hypothetical dataset, the new similarity measure was applied to decision-making problem in career determination. The new similarity measure evaluates the similarities between students and potential career paths by computing the highest similarity values between their respective picture fuzzy multisets. The results demonstrate the effectiveness of the proposed measure in identifying optimal career choices, thereby providing a more robust framework for decision-making under uncertainty.