3.5. first_activity - Introduction to Multi-criteria Decision Analysis May 2016 Prof Leonardo Tomazeli Duarte(University of Campinas Activity on

# 3.5. first_activity - Introduction to Multi-criteria...

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Introduction to Multi-criteria Decision Analysis May 2016 Prof. Leonardo Tomazeli Duarte (University of Campinas) Activity on Multi-Attribute Value Theory (MAVT) 1) Elicitation in the context of Simple Additive Weighting (SAW) a) Consider the following decision matrix (five alternatives and five criteria): Decision matrix = 1.0000 0.0635 0.1195 0.2880 0.1225 0.6638 0.2074 1.0000 0.4147 0.2177 0.7696 0.4073 0.3347 0.7073 0.9337 0.0300 0.5222 0.9090 1.0000 1.0000 0.5546 1.0000 0.6706 0.5403 0.5681 Based on this decision matrix, a decision maker has expressed his/her preference in the following way: Alternative 1 > Alternative 2 > Alternative 3 > Alternative 4 > Alternative 5 Your task, as an analyst, is to find a set of (positive) weights (for which the sum is 1) that describes the preference model defined by the decision maker. Provide a detailed description of your strategy, including possible codes that were developed to solve this problem.