In this paper, the definitions are simply as follows.
Multi-Level secret sharing: Higher level participants can help lower participants to get the secret.
Compartmented secret sharing: Each level participants has to get its own secret. (No help from higher level participants)
According to this paper
I found that Disjunctive Multi-Level secret sharing is identical to Multi-Level secret sharing and Conjunctive Multi-Level secret sharing is identical to Compartmented secret sharing.
Is above statement true?
My doubt is what is the difference between hierarchical secret sharing and multi-level secret sharing?
Is hierarchical secret sharing same as Disjunctive Multi-Level secret sharing?
If I add a restriction to the compartmented secret sharing that 'participants at level $i$ can recover its secret only if participants at level $i-1$ recovers their secret', then what we can call this type of secret sharing?