Please enable JavaScript.
Coggle requires JavaScript to display documents.
ESA Week8 - Coggle Diagram
ESA Week8
Pareto Dominance
Pareto Frontier, the set of f(x*) for all the pareto optimal solutions
-
-
Properties of Pareto Dominance
1) transitive YES (If a dominates b, and b dominates c, a dominates c)
2) Reflexive NO (does not dominate itself)
3) Symmetric NO
-
note, pareto dominated solutions are feasible, but they are just not optimal
-
Coding
use of the label property in aes, and the geom_text function, allows you to label specific points on the graph
use colour to distinguish between non dominated and dominated solutions (color = a vector that consists of "dominated" and "non dominated" ... (eg: "dominated", "non dominated", "dominated"...) in geom_point
-
for the table (mydata) in the activity, for a particular row, if the values for profit and biodiversity equate or exceed another, then the second is dominated. look at rows 4 and 5. that is what the code means
row 4 dominates row 5 because the first column 12 exceeds the first column of row 5 (10), and the second column (8) is equivalent to the second column of row 5(8). this fulfills the criteria for weak domination
indexing a matrix requires matrix[row,column]
-
-
-