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All Journal Jurnal Sains dan Seni ITS UNEJ e-Proceeding Limits: Journal of Mathematics and Its Applications
I Gst Ngr Rai Usadha
Departemen Matematika Institut Teknologi Sepuluh Nopember
Arts Humanities Education Mathematics

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Journal : UNEJ e-Proceeding

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AHP DENGAN MATRIKS PREFERENSI DALAM ALJABAR MAX-PLUS I Gusti Ngurah Rai Usadha
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

Analytical Hierarchy Process (AHP) is a decision-making method to determine the best alternative from a number of alternatives based on certain criteria. One of the fundamental problems in AHP is how to obtain a preference matrix for a number of alternatives. In this paper, a preference matrix is formed so that it meets certain conditions in Tropical Algebra. Furthermore, the maxplus operation is applied to obtain the eigenvectors of the preference matrix that describes the steady state condition. A case study was conducted on determining the priority of road maintenance in Bangkalan Regency. The calculation results show that there is a conformity with the results of previous studies. Keywords: Analytical Hierarchy Process, preference matrix, eigenvectors, steady state.
Co-Authors Amelia Margaretha Santoso Erna Apriliani Firda Puspita Devi Imam Mukhlash Inu Laksito Wibowo