Probability theory or probabilistic systems are governed by the occurrence of events ranging from zero to one (0-1), while fuzzy logic works with the degree of membership of an event or situation that is going to appear.
We can give a simple example on the same subject.
From a probabilistic point of view: is it rain tomorrow?
The result is yes or no.
From the point of fuzzy logic: How to appreciate the amount of rain that has fallen (small, medium, large) knowing that there is no instrument to judge that.
For more détails and information about this subject i suggest you to see links in topic.
-What is the difference between fuzzy logic and crisp logic? - Quora
One line answer is probability is fixed for any event whereas intuitionistic fuzzy membership values vary from expert to expert. One of the best example is word young which definition and membership vary from expert to expert