Majority Function - Properties

Properties

Among the properties of the ternary median operator < x,y,z > are:

  1. < x,y,y > = y
  2. < x,y,z > = < z,x,y >
  3. < x,y,z > = < x,z,y >
  4. < < x,w,y >, w,z > = < x,w, < y,w,z > >

An abstract system satisfying these as axioms is a median algebra.

Read more about this topic:  Majority Function

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