Abstract
This study aims to recommend a new approach in the ranking system by analyzing the combination of the Z-Score method and the Fuzzy Multi-Attribute Decision Making (FMADM) method. This fusion is based on the merging of the advantages of Z-Score and FMADM as a superiority method in statistical rank data processing with weighting data distribution. The lack of Z-Score in processing multi-attributes weighted data can be improved by the FMADM method. In this study, the integration of the Analytical Hierarchy Process (AHP) and Weighted Product (WP) methods was used as the FMADM method with the Z-Score statistical technique. The results of the analysis in the case study show that the integration of the Z-Score and AHP-Weighted Product (Z-WeP) methods can provide maximum results with similarities to the Z-Score results by 86%. Analysis of criterion values on alternatives also shows that Z-WeP can work better than some other of FMADM approaches.
Highlights
The ranking technique in the field of statistical science consists of many methods
The combination of Z-Score and Weighted Product (WP) techniques abbreviated as Z-Score and AHP-Weighted Product (Z-WeP) will be carried out as a new approach in the system ranking on the distribution of weighted data with varying levels of importance with Analytical Hierarchy Process (AHP) as the initial weighting technique
The ranking model development with a combination of Z-Score and Fuzzy Multi-Attribute Decision Making (FMADM) is done by comparing the results of the ranking of each method analyzed
Summary
The ranking technique in the field of statistical science consists of many methods. The use of this method is intended to obtain sequencing of data as an evaluation based on a criterion [1]. The functionality of the Z-Score technique in the classification of data is outstanding as the studies have been carried out, but Z-Score technique will not work well if implemented in a rating system with weighted data distribution or having a degree of importance This condition occurs because the Z-Score technique only compares the difference between the datum and the distribution average for the standard deviation on each type of criteria locally summed so that the output of the final value produced only looks at each criterion of the data distribution. Another approach that can be done to improve this by a combination of weight multiplication. The combination of Z-Score and Weighted Product (WP) techniques abbreviated as Z-WeP will be carried out as a new approach in the system ranking on the distribution of weighted data with varying levels of importance with AHP as the initial weighting technique
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