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bounded difference

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bounded difference [′bau̇nd·əd ′dif·rəns]
(mathematics)
For two fuzzy setsAandB, with membership functionsmAandmB, the fuzzy set whose membership functionmABhas the valuemA(x) -mB(x) for every elementxfor whichmA(x) ≥mB(x), and has the value 0 for every elementxfor whichmA(x) ≤mB(x).


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Strong concentration of measure for this model, over long time intervals starting from a given state, as well as in equilibrium, was established in [18; 19] using the underlying structure of the model that enabled certain functions to be considered as functions of independent random variables so that the bounded differences method could be used.
 
 
 
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