fuzzy relation 9

0. Let R be a fuzzy relation on X. Which of the following is/are TRUE?
1. If R is transitive w.r.t. max-min composition, then a-cuts of R are crisp transitive relations.
2. If R is transitive w.r.t. max-product composition, then a-cuts of R are crisp transitive relations.
3. If R is symmetric then its a-cuts are also symmetric.
4. If R is transitive w.r.t. max-min composition, then R is transitive w.r.t. max-product composition.

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