Abstract
Most existing fuzzy AHP (FAHP) methods use triangular fuzzy numbers to approximate the fuzzy priorities of criteria, which is inaccurate. To obtain accurate fuzzy priorities, time-consuming alpha-cut operations are usually required. In order to improve the accuracy and efficiency of estimating the fuzzy priorities of criteria, the piecewise linear fuzzy geometric mean (PLFGM) approach is proposed in this study. The PLFGM method estimates the α cuts of fuzzy priorities and then connects these α cuts with straight lines. As a result, the estimated fuzzy priorities will have piecewise linear membership functions that resemble the real shapes. The PLFGM approach has been applied to the identification of critical features for a smart backpack design. According to the experimental results, the PLFGM approach improved the accuracy and efficiency of estimating the fuzzy priorities of these critical features by 33% and 80%, respectively.
Highlights
The analytic hierarchy process (AHP), proposed by Saaty [1], is a well-known multi-criteria decision-making method
To better consider such subjectivity, fuzzy logic has been incorporated into AHP, which resulted in various fuzzy AHP (FAHP) methods [2]
FAHP methods [18,19,20,21,22,23,24,25,26] estimate, rather than derive, the values of fuzzy eigenvalue and eigenvector. To improve both the efficiency and accuracy of solving a FAHP problem, a piecewise linear fuzzy geometric mean (PLFGM) approach is proposed in this study
Summary
The analytic hierarchy process (AHP), proposed by Saaty [1], is a well-known multi-criteria decision-making method. In a FAHP problem, deriving the values of fuzzy eigenvalue and eigenvector requires a number of fuzzy multiplication operations, which is a time-consuming task [17]. FAHP methods [18,19,20,21,22,23,24,25,26] estimate, rather than derive, the values of fuzzy eigenvalue and eigenvector To improve both the efficiency and accuracy of solving a FAHP problem, a piecewise linear fuzzy geometric mean (PLFGM) approach is proposed in this study.
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