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  • 1 Post By HallsofIvy

Math Help - Similarity between two sets

  1. #1
    Junior Member
    Joined
    Oct 2008
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    Similarity between two sets

    Hi,

    Short Intro:

    Les say i have two sets od objects. Set A and set B if two sets are identical (composition wise) then there exists a bijective mapping function and the frequency of object a in set A is equal to object a' in B. That holds for all objects.

    Problem:

    If i relax the mapping constraints and say that mapping a in A to b' in B is good enough and mapping b in A to c' in B is also ok, then i have a problem grasping on how to use frequencies in order to determine the similarity between two sets.

    Question :

    Does anyone have any experience or a suggestion on how to determine how much two sets are similar if only frequency can be looked at and a mapping function is relaxed as described above?


    Identity: a->a' only

    Similarity: a->a'
    a->b'
    any articles , and ideas , any suggestions are welcomed.


    thank you very much


    bax
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  2. #2
    MHF Contributor

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    Re: Similarity between two sets

    I don't know what you mean by "frequency of object a in set A".
    Thanks from emakarov
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