Procedure non-dominated_sorting (P) input: Population solutions output: Pareto sorting solutions set Step1. //create the Pareto level 1 For each solution ke P Sk; //memory the solutions which are dominated by k nk = = 0 //the number of solutions which dominate k Step 1.1 For each solution uЄ P if (ku) Sk = Sk U{u} if (uk)nk=nk End for +1 Step 1.2 //store the Pareto level 1 if n₁ =0 ₁ = End for {k} Step 2. //fetch the Pareto level 2 from Pareto level 1, and then fetch the Pareto level 3 from level 2, and so on. Step 2.1 i=1 Step 2.2 if (0), then ;+1 = 0. For each solution ke г; For each solution uЄ Sk nu-nu-1 if n₁ =0 г¡+₁ =П₁₁₁ ~{u} End for End for i+1 i+1 Step 2.3 i=i+1; go back to step 2.2

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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can you draw a proper flowchart with appropriate flowchart shapes and interpret this pseudo code regarding pareto non-dominated sorting algorithm 

Procedure non-dominated_sorting (P)
input: Population solutions
output: Pareto sorting solutions set
Step1. //create the Pareto level 1
For each solution ke P
Sk; //memory the solutions which are dominated by k
nk
=
= 0 //the number of solutions which dominate k
Step 1.1 For each solution uЄ P
if (ku) Sk = Sk U{u}
if (uk)nk=nk
End for
+1
Step 1.2 //store the Pareto level 1
if n₁ =0 ₁ =
End for
{k}
Step 2. //fetch the Pareto level 2 from Pareto level 1, and then fetch the Pareto level 3
from level 2, and so on.
Step 2.1 i=1
Step 2.2 if (0), then ;+1 = 0.
For each solution ke г;
For each solution uЄ Sk
nu-nu-1
if n₁ =0 г¡+₁ =П₁₁₁ ~{u}
End for
End for
i+1
i+1
Step 2.3 i=i+1; go back to step 2.2
Transcribed Image Text:Procedure non-dominated_sorting (P) input: Population solutions output: Pareto sorting solutions set Step1. //create the Pareto level 1 For each solution ke P Sk; //memory the solutions which are dominated by k nk = = 0 //the number of solutions which dominate k Step 1.1 For each solution uЄ P if (ku) Sk = Sk U{u} if (uk)nk=nk End for +1 Step 1.2 //store the Pareto level 1 if n₁ =0 ₁ = End for {k} Step 2. //fetch the Pareto level 2 from Pareto level 1, and then fetch the Pareto level 3 from level 2, and so on. Step 2.1 i=1 Step 2.2 if (0), then ;+1 = 0. For each solution ke г; For each solution uЄ Sk nu-nu-1 if n₁ =0 г¡+₁ =П₁₁₁ ~{u} End for End for i+1 i+1 Step 2.3 i=i+1; go back to step 2.2
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