Can AUB can be said as a relation or not between A and B sets?

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The discussion centers on whether the union of two sets, denoted as A ∪ B, can be classified as a relation between the sets A and B. It is established that a relation is defined as a subset of the Cartesian product of two sets, which means A ∪ B does not qualify as a relation. The participants emphasize that A ∪ B is merely a representation of the combined elements of both sets, lacking the necessary structure to be considered a relation.

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Huygen121
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My question is just to ask whether the operations like:-

AUB is a relation or not?

in our book it is written that the relations of two sets should be subset of the cartesian product of two sets but i think that relations are those which connects two sets and that can be AUB(A union B) also,because it connects two sets either.

so,i want to ask whether AUB can be said as a relation or not between A and B sets
 
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"AUB" is a string of three symbols without any meaning, unless A, U and B get specified. That should be done where "AUB" is written, not at some random position afterwards.

because it connects two sets either.
That is not the sort of connection you need.
so,i want to ask whether AUB can be said as a relation or not between A and B sets
No.
 

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