Using plural forms of nouns can make them more difficult to read.
When you have a number of things, they are usually stored in a datastructure - an array, a list, a map, set, etc.. generically called a collection or abstract data type. The interface to a collection of items is typically part of the programming environment (e.g. Collections in java and .net, STL in C++) and is well understood by developers to involve quantities of items.
You can avoid pluralizing your nouns, and make the fact that you are dealing with multiple quantities explicit, and indicate how they are accessed by incorporating the name of the collection. For example,
- VectorDirectionList - the vectors and their directions are listed, e.g. some kind of Pair type. Works particularly well if you have a VectorDirection, combining a Vector and a Direction.
- VectorDirectionMap - if the vector directions are mapped from vector.
Because it's a collection type, dealing with multiple objects is understood as it is endemic to a collection type. It then puts it in the same class as SetUnion - a union always involves at least 2 sets, and a VectorDirectionList makes it clear there can be more than one VectorDirection.
I agree about avoiding homonyms where the word has more than one word class, e.g. Filter, (and actually, Set, although to my mind Set would not really be used in a class name as a verb, so I interpret it as a noun.) I originally wrote this using FilterOutput as an example, but it didn't read well. Using a compound for Filter may help disambiguate - e.g. ImageFilterOutputs (or applying my own adivce, this would be ImageFilterOutputList.)
Avoiding plural forms with class names seems natural when you consider that an instance of a class is itself always one item - "an instance". If we use a plural name, then we get a mismatch - an instance trying to imply that it is multiple things - it itself is just one thing, even if it references multiple other things. The collection naming above builds on this - you have an instance which is a list, a map etc so there is no mismatch.
I'm assuming you are talking about programming language constructs, although the same thinking applies to tables/views. These are understood to involve quantities of items and table names are consequently often singlular (Customer, Order, Item) even though they store multiple rows. Many-to-Many Mapping tables are usually compounds of the entities being related, e.g. relating orders to items - OrderItem. In my experience, using plurals for table names makes the SQL difficult to read.
To sum up, I would avoid plural froms as they make reading harder. There are sure to be cases where they are unavoidable - where using the plural form is more readable than creating a huge name of nested entities and collections, but these are the exception than the rule.
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