Determine Priority Method in The Analytic Hierarchy Process Using Singular Value Decomposition

This project discuss a method to determine priority in the analytic hierarchy process (AHP) using singular value decomposition. The AHP has been accepted as a method can used in decision making process which involved many criteria. The foundation of AHP is the eigenvector method connected to the lar...

Full description

Saved in:
Bibliographic Details
Main Author: (NIM: 20107032); Pembimbing: Dr. Pudji Astuti dan Dr. Hanni Garminia, SURIPTO
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/14508
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:This project discuss a method to determine priority in the analytic hierarchy process (AHP) using singular value decomposition. The AHP has been accepted as a method can used in decision making process which involved many criteria. The foundation of AHP is the eigenvector method connected to the largest eigenvalue and its associated eigenvector of an (n - n) positif reciprocal matrix called as pairwise comparison matrix. The elements of pairwise comparison matrix are acquired from comparing two alternative which based on the 1-9 AHP fundamental comparison scale. Further, the weights vector is determined that the components are normalized and indicate the priority of all alternative which become the foundation of the decision.