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Table 3 List of mathematical notations

From: AMACE: agent based multi-criterions adaptation in cloud environment

F1

Minimal number of tourist services considered as a minimal threshold

F2

Number of tourist services provided which differs with those provided by the agent source‘s’

F3

Available memory

F4

How many roles broker plays

Dominance relation

X dominates Y if the two following conditions meet:

(A) k  {1,2,…, m} f Xgk (ti) ≤ f ygk (ti) ‘X is not worse than Y for all criteria’

(B) k  {1,2,…, m} f Xgk (ti) < f ygk (ti) ‘X is strictly better than Y for at least one criterion’