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Introduction to Multi Criteria Analysis MCA

Introduction to Multi Criteria Analysis MCA. Multi Criteria Analysis. MCA: aims to rank alternative strategies when the effect of these strategies cannot be translated into one single measuring scale Score card: represent the impacts of alternative strategies on criteria.

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Introduction to Multi Criteria Analysis MCA

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  1. Introduction to Multi Criteria Analysis MCA

  2. Multi Criteria Analysis • MCA: aims to rank alternative strategies when the effect of these strategies cannot be translated into one single measuring scale • Score card: represent the impacts of alternative strategies on criteria

  3. Multi Criteria Analysis • Steps: • Generation of alternatives • Formulation of criteria • Filling score card • Standardization of scores • Application of weights • Ranking of Alternatives • Sensitivity analysis • Cautions • Avoid double counting (e.g. groundwater level and cost of pumping) • Specification of units (negative or positive, best or worst) • Score cards represent one scenario • Score card are made for one time horizon • Be aware of uncertainties

  4. Multi Criteria Analysis • Approaches: • Weighted sum method • Pairwise comparison (concordance index) • Standardization Methods • Subjective/qualitative scores can be translated into 1-10 scale • For Quantitative scores the following formula can be applied:

  5. Multi Criteria Analysis • Weighted Sum: • Concordance : • Concordance index: KAB = to what degree alt A is better than alt B KAB = 1 (A scores better than B for Criterion 1 with weight 1) KBA = 2+2 = 4 (B scores better than A for criteria 2 and 3) KBA - KAB = 3 (the higher indicates the degree to which B dominates A)

  6. MCA Example The following table include some data about the different technologies for brackish water purification. We wish to select which technology is best for Gaza ??

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