Open AccessApplication of fuzzy preference relations method in AHP to improve judgment matrix consistency
Author(s) -
Muhammad Hamka,
- Harjono
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/821/1/012035
Subject(s) - consistency (knowledge bases) , pairwise comparison , analytic hierarchy process , matrix (chemical analysis) , preference , construct (python library) , mathematics , fuzzy logic , computer science , operations research , artificial intelligence , statistics , materials science , composite material , programming language
Most issues when using AHP is the difficulty of getting the consistency of a judgment matrix. It can be affected due to decision-making subjectivity. This study proposes the usage of the fuzzy Preference Relations (FPR) method to ensure a judgment in decision-making is acceptable and high objectively due to its obstacle for satisfying consistent judgment matrix from decision-makers in AHP. Improving the consistency of decision matrix can be done through the following steps, namely: 1) Transform pairwise comparison matrix of A=(a_ij) into FPR R=(r_ij ), 2) construct a new consistency matrix of FRP which satisfies the additive consistency, and 3) compose a new consistent pairwise matrix. As a result, the consistency index value was acceptable (< 0.10). Moreover, the procedure is applied in the determination of agro-industries based SMEs development.