Suppose that we have elicited the indifference relation ∼ and the strict preference relation > from a decision-maker. Define the weak preference relation >
given relations ∼ and >. That is, reconstruct the decision-maker’s weak preference statements from the decision-makers indifference and strict preference
statements
Weak preferences relation is about an agent preferring one item over another one with a weak perspective. For a Weak Preference relation x ≽ y implies that an agent has weakly preferred x over y. The agent prefers strictly one item over the other.
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