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elements at every level are compared with each other. The expert panel assigns weights to each element, which contributes to the decision element in the next level. A total of 100 points is allocated between two decision elements. The formula for the pairwise comparison is given by [3]

      N = (n − 1)/2,

      where N is the number of pairwise comparisons, and n is the decision elements at every level.

      3.2.Inconsistency

      3.3.Disagreement

      Unlike inconsistency, disagreement is calculated based on the differences between the opinions or evaluations of the expert panel. If the disagreement among the expert panel is beyond a certain range (which is considered to be 10%), then a brief session should be conducted with the experts to try to convince that particular expert whose judgment was different from the rest. There are additional tests such as an F-test that can be performed to determine whether the disagreement among experts in a panel is statistically significant or not [6]. “Understanding and resolving the disagreement is an important aspect of the research and for building the decision model” [6].

      3.4.Decision model

      The objective of the model in this paper is to choose the best cloud computing service provider for an application developer.

      Figure 1 illustrates the process of decision-making for this paper using a HDM.

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      Figure 1.A HDM’s process of decision-making.

      3.5.Expert panel

      An expert panel consists of application developers (across different industries) who use different cloud computing platforms. All the experts are significantly related to the model’s objective and decision elements. The experts are from different backgrounds, age and sex.

      3.6.Decision elements and model levels

      Each of the 13 experts accessed the HDM software and gave their professional judgments and quantification with regard to each of the following criteria:

      1.Innovation: Is it easy to scale up the cloud if the need increases or is it compatible with the other applications?

      2.Technological: What is the architecture of the platform or how secure is the cloud?

      3.Usability: What is the platform’s ease of use or is the chosen platform useful for a certain application?

      4.Economical: What is the total monetary expense of the proposed cloud computing platform?

      •Level 1: Mission (selecting a cloud computing platform for an application).

      •Level 2: Four Primary Evaluation Criteria using a pairwise comparison method. A total of a hundred points was divided between the two criteria in proportion to their relative importance to the problem objective.

      •Level 3: Seven Secondary Evaluation Criteria with respect to the Level 1 criteria using a pairwise comparison method. A total of a hundred points was divided between the two criteria in proportion to their relative importance to the problem objective.

      •Level 4: Four cloud computing service providers using a pairwise comparison method. A total of a hundred points was divided between the two criteria in proportion to their relative importance to the problem objective.

      3.7.Cloud computing complexity

      3.8.Cloud computing compatibility

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