Two Proofs and One Algorithm Related to the Analytic Hierarchy Process

Algorithm 1

Calculation of eigenvector components.

Input:   ()→ given priorities

Output:  → unknown eigenvector components

  ; → initial assignment

  while   do→ if = 2 then jump to step

 for each    do→ cycle for index k

  ; → ,

 end

  end

  → relation (33)

  ; → last unknown component

  for each    do→ cycle for index k

(10) ; →

  end