This linear equation can be used for determining the sample orders under various variation ratios. However, the case study shows that only the perturbed sample is sensitive to the variation, and a simple linear equation representing the relation between the closeness coefficient (CC) values of the perturbed sample and variation ratios can be derived under the assumption 2. When the input data of all indices of a given sample are perturbed with the same variation ratio, the assessment values of all samples will be influenced theoretically. When the same indices of different water samples are changed simultaneously with the same variation ratio, the final water quality assessment results will not be influenced at all. Furthermore, a case study under assumption 2 was also carried out in this paper. The other one was that all indices of a given sample were changed simultaneously with the same ratio, while the indices of other samples were unchanged. One assumption was that one index or more of the samples were perturbed with the same ratio while other indices kept unchanged. The sensitivity was first theoretically analyzed under two major assumptions. In the present study, the sensitivity of the TOPSIS method to the index input data was investigated. (PhD), Curtin University, Curtin University Library.This is the second part of the study on sensitivity analysis of the technique for order preference by similarity to ideal solution (TOPSIS) method in water quality assessment.

Intelligent Decision Support System for Energy Management in Demand Response Programs and Residential and Industrial Sectors of the Smart Grid. Upon submission of an article to any Journal and conference, an author is required to transfer copyright in the article by citing below reference: The purpose of this methodology is to first arrive at an ideal solution and a negative ideal solution, and then find a scenario which is nearest to the ideal solution and farthest from the negative ideal solution. The TOPSIS method based on information entropy is proposed as a decision support tool in many fields. TOPSIS, is a simple ranking method in conception and application. Of the numerous criteria decision-making (MCDM) methods, TOPSIS is a practical and useful technique for ranking and selecting a number of possible alternatives by measuring Euclidean distances.

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