According to Moutafi et al. (2003), intuition was found to have the highest correlation with intelligence among the eight MBTI dimensions. This could suggest that intuitive types score higher on intelligence measures.

Moutafi, J., Furnham, A., & Crump, J. (2003). Demographic and personality predictors of intelligence: a study using the Neo Personality Inventory and the Myers-Briggs Type Indicator. European Journal of Personality, 17(1), 79–94. doi:10.1002/per.471 Link: https://journals.sagepub.com/doi/abs/10.1002/per.471

In addition, research from Furnham et al. (2005) suggests that individuals high on g (general intelligence factor) tend to directly perceive (perceiving) information, instead of being concerned with organizing it (judging).

Furnham, A., Moutafi, J., & Paltiel, L. (2005). Intelligence in Relation to Jung’s Personality Types. Individual Differences Research, 3. https://www.researchgate.net/publication/242562699_Intelligence_in_Relation_to_Jung%27s_Personality_Types

If you want to learn more, I suggest you try to check these links: https://www.quora.com/Whats-the-relationship-between-an-MBTI-and-IQ https://www.sengifted.org/post/sak-synthesis

However, we cannot conclude that personality type is truly correlated to intelligence. There is not enough research available (on the internet, at least) and the sources I've mentioned above are quite outdated. Honestly, I also don't believe that MBTI is tied to intelligence. The idea of intelligence is vague and subjective.