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If we convert a decision tree to a set of logical rules, then:

This question was previously asked in
UGC NET 2022 Paper 1 Question Paper (22-Oct-2022) (Shift 2)
The correct answer is

The internal nodes in a branch are connected by AND and branches by OR

A decision tree can be rewritten as a rule set by producing one IF–THEN rule per root-to-leaf path. Every internal node on a path tests one attribute, and the leaf gives the class.

Along a single path all tests must hold together for an example to reach that leaf, so the conditions at the internal nodes of a branch are joined by AND (a conjunction). An example of a class may reach any of the leaves labelled with that class, so the different branches (paths) are joined by OR, giving a disjunction of conjunctions (disjunctive normal form).

Joining branches by AND would require one example to follow several different paths at once, which is impossible; joining the nodes of one path by OR would let an example satisfy only one test on the path, which does not describe how the tree classifies. So the other three combinations are wrong.

The internal nodes in a branch are connected by AND and branches by OR option is correct.

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