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Multiclass Benchmarking Framework for Automated Acute Leukaemia Detection and Classification Based on BWM and Group-VIKOR

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Abstract

This paper aims to assist the administration departments of medical organisations in making the right decision on selecting a suitable multiclass classification model for acute leukaemia. In this paper, we proposed a framework that will aid these departments in evaluating, benchmarking and ranking available multiclass classification models for the selection of the best one. Medical organisations have continuously faced evaluation and benchmarking challenges in such endeavour, especially when no single model is superior. Moreover, the improper selection of multiclass classification for acute leukaemia model may be costly for medical organisations. For example, when a patient dies, one such organisation will be legally or financially sued for incidents in which the model fails to fulfil its desired outcome. With regard to evaluation and benchmarking, multiclass classification models are challenging processes due to multiple evaluation and conflicting criteria. This study structured a decision matrix (DM) based on the crossover of 2 groups of multi-evaluation criteria and 22 multiclass classification models. The matrix was then evaluated with datasets comprising 72 samples of acute leukaemia, which include 5327 gens. Subsequently, multi-criteria decision-making (MCDM) techniques are used in the benchmarking and ranking of multiclass classification models. The MCDM used techniques that include the integrated BWM and VIKOR. BWM has been applied for the weight calculations of evaluation criteria, whereas VIKOR has been used to benchmark and rank classification models. VIKOR has also been employed in two decision-making contexts: individual and group decision making and internal and external group aggregation. Results showed the following: (1) the integration of BWM and VIKOR is effective at solving the benchmarking/selection problems of multiclass classification models. (2) The ranks of classification models obtained from internal and external VIKOR group decision making were almost the same, and the best multiclass classification model based on the two was ‘Bayes. Naive Byes Updateable’ and the worst one was ‘Trees.LMT’. (3) Among the scores of groups in the objective validation, significant differences were identified, which indicated that the ranking results of internal and external VIKOR group decision making were valid.

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Appendices

Appendix 1 pairwise comparisons

Section 1: Expert questionnaire

figure a

Dear Dr.,

The aim behind this questionnaire is to compare preferences between evaluation metrics of multiclass classification models of acute leukaemia for determining the importance for each metric. This questionnaire is a part of the research activities at Universiti Pendidikan Sultan Idris (UPSI)/Malaysia.

Background:

Name:

Years of experience:

E-Mail:

Position:

Prior to answering the questions, understanding the criteria assessed is important in arriving at a decision.

The criteria that usage for measurement the performance of a trained model on the test dataset. The evaluation criteria of acute leukaemia were divided into two main groups, namely, (1) reliability group, (2) time complexity;

The reliability group includes four subgroups of criteria, namely, (1) matrix of parameters has four metrics (i.e., confusion matrix: True positive, True negative, False negative, False positive), relationship of parameters has five metrics (i.e., Average Accuracy, Precision (Micro), Precision (Macro), Recall (Macro),, behaviour of parameters (F-score) and Error rate. The following Fig. 6 illustrates the levels:

Fig. 6
figure 6

illustrates the levels of evaluation criteria for multiclass classification models

Comparison questions

Comparison measurement scale

The comparisons (relative importance) of each criterion are measured according to a numerical scale from 1 to 9. These relative scales (1 to 9), as shown in Table 8, Please use this scale in comparison.

Table 8 Comparison measurement scale
  1. 1.

    Main Criteria

  1. A.

    Reliability: the degree of quality or state of being fit to be reliable value for any parameter. It is considered one of the main criteria in our study. This criterion includes four subsections will discuss in the next stage.

  2. B.

    Time Complexity: is the time consumed by the input and output sample images, that’s mean is the time required to complete the classification task of that algorithm.

Questions

  1. 1.1.

    Could you indicate, which of these two criteria you find is the MOST important and which one you find the LEAST important by marking the box? Please in Table 9, marking the cell of in front of the MOST important criterion and marking the cell of in front of the LEAST important criterion.

Table 9 Comparison to determine the most and least important criteria

You have selected X criterion as the most important criterion.

  1. 1.2.

    Please determine your preference of this criterion (X) over the other least important criterion by using 1 to 9 measurement scale.

    Please write the X criterion that you selected as most important criteria in green cell and the least important criterion in the grey cell in Table 10, and then write your preferences value.

Table 10 Comparison to determine the preference of most important criterion over other criteria
  1. 2.

    The sub-criteria (Level 2)

  1. A.

    Matrix of parameter:

    It provides the statistics for the number of correct and incorrect predictions made by a classification system compared with the actual classifications of the samples in the test data

  2. B.

    Relationship of parameter:

    Relationship of parameters also included three parameters that are more important criteria typically used to measure the quality ratio for any case will discuss in the next

    stage.

  3. C.

    Behaviour of parameter:

    Behaviour of parameters (f-score) that is to measure average harmonic mean and geometric for precision and recall perimeter will discuss in the next stage.

  4. D.

    Error rate

    Error rate within dataset: Basically, the procedure of dataset is to obtain the minimum error rate of the data during the implementation process of the training and validation applied in machine learning.

Questions

  1. 2.1.

    Could you indicate which one of these criteria (sub-criteria (Level 2)) consider the MOST important and which one you find the LEAST important? Please in Table 11, marking the cell of in front of the MOST important criterion and marking the cell of in front of the LEAST important criterion.

Table 11 Comparison to determine the most and least important criteria in level 2 of criteria

You have selected X criterion as the MOST important criterion and Y criterion as the LEAST important criterion

  1. 2.2.

    Please determine your preference of the criterion (X) over the other criteria by using 1 to 9 measurement scale.

    Please write the X criterion that you selected as most important criterion in green cell and the other criteria in the grey cells in Table 12, and then write your preferences value.

Table 12 Comparison to determine the preference of most important criterion over the other criteria in level 2 of criteria
  1. 2.3.

    You have selected Y criterion as the LEAST important criterion.

    Please determine your preference of all criteria over the Y criteria that you selected as LEAST important criterion by using 1 to 9 measurement scale.

    Please write the Y criterion that you selected as LEAST important criteria in green cell and the other criteria in the grey cells in Table 13, and then write your preferences value.

Table 13 Comparison to determine the preference of all criteria over the least important criterion in level 2 of criteria
  1. 3.

    The sub-criteria (A) of Matrix of parameter (level 3)

True positive

The number of elements correctly classified as positive by the test. When cancer cells are correctly identified

True negative

The number of elements correctly classified as negative by the test. When non-cancer cells are correctly identified

False positive

The number of elements classified as positive by the test, but they are not. When non-cancer cells are identified as cancerous

False negative

The number of elements classified as negative by the test, but they are not. When cancer cells are identified as noncancerous

Questions

  1. 3.1.

    Could you indicate which one of these criteria (sub-criteria A(Level 3)) consider the MOST important and which one you find the LEAST important? Please in Table 14, marking the cell of in front of the MOST important criterion and marking the cell of in front of the LEAST important criterion.

Table 14 Comparison to determine the most and least important criteria in the sub-criteria A level 3 of criteria

You have selected X criterion as the MOST important criterion and Y criterion as the LEAST important criterion

  1. 3.2.

    Please determine your preference of the criterion (X) over the other criteria by using 1 to 9 measurement scale.

    Please write the X criterion that you selected as most important criterion in green cell and the other criteria in the grey cells in Table 15, and then write your preferences value.

Table 15 Comparison to determine the preference of most important criterion over the other criteria in the sub-criteria A level 3 of criteria
  1. 3.3.

    You have selected Y criterion as the LEAST important criterion.

    Please determine your preference of all criteria over the Y criteria that you selected as LEAST important criterion by using 1 to 9 measurement scale.

    Please write the Y criterion that you selected as LEAST important criterion in green cell and the other criteria in the grey cells in Table 16, and then write your preferences value.

Table 16 Comparison to determine the preference of all criteria over the least important criterion in the sub-criteria A level 3 of criteria
  1. 4.

    The sub-criteria (B) of Relationship of parameter in (level 3)

Average Accuracy

The average effectiveness of all classes

Precision(micro)

is used to measure the positive patterns that are correctly predicted from the total predicted patterns in a positive class (Agreement of the data class labels with those of a classifiers)

Precision(macro)

Is an average per-class agreement of the data class labels with those of a classifier (An average per-class agreement of the data class with those of a classifiers).

Recall(Macro)

Recall is used to measure the fraction of positive patterns that are correctly classified

Questions

  1. 4.1.

    Could you indicate which one of these criteria (sub-criteria B (Level 3)) consider the MOST important and which one you find the LEAST important? Please in Table 17, marking the cell of in front of the MOST important criterion and marking the cell of in front of the LEAST important criterion.

Table 17 Comparison to determine the most and least important criteria in the sub-criteria B level 3 of criteria

X criterion selected as the best criterion and Y criterion as the LEAST important criterion

  1. 4.2.

    Determine your own preference of the criterion (X) compare the other criteria by using 1 to 9 measurement scale.

    Please write the X criterion that you selected as most important criterion in green cell and the other criteria in the grey cells in Table 18, and then write your preferences value.

Table 18 Comparison to determine the preference of most important criterion over the other criteria in the sub-criteria B level 3 of criteria
  1. 4.3.

    Y criterion selected as the worst criterion.

    Determine your own preference of all criteria compare with Y criterion that you selected as worst criterion by using 1 to 9 measurement scale.

    Please write the Y criterion that you selected as LEAST important criterion in green cell and the other criteria in the grey cells in Table 19, and then write your preferences value.

Table 19 Comparison to determine the preference of all criteria over the least important criterion in the sub-criteria B level 3 of criteria

Should you have any inquiry or wish to know the result please contact:

Mohammed Assim Mohammed Ali

Email: Mohammed.asum@gmail.com

Mobile phone: 0060189810357

……. Thanks for Your Time …….

Section 2: List of experts

Table 20 List of experts involved in the pairwise questionnaire

Appendix 2 results of the BWM method for second and third experts

Table 21 The results of the BWM method for weight preferences of the criteria of evaluation and benchmarking the multiclass classification (second expert)
Table 22 The results of the BWM method measurement for weight preferences of the evaluation and benchmarking for multiclass classification (Third expert)

Appendix 3 results of VIKOR for second and third experts

Table 23 Ranking results based on the second experts’ weights
Table 24 Ranking results based on the third experts’ weights

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Alsalem, M.A., Zaidan, A.A., Zaidan, B.B. et al. Multiclass Benchmarking Framework for Automated Acute Leukaemia Detection and Classification Based on BWM and Group-VIKOR. J Med Syst 43, 212 (2019). https://doi.org/10.1007/s10916-019-1338-x

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