Interdependency of Criteria Impacts on TOPSIS Open Access

Many federal government agencies and commercial industries are utilizing multi-criteria decision analysis (MCDA) methods such as Analytic Hierarchy Process (AHP), Simple Additive Weighting (SAW), Analytic Network Process (ANP), and The Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) to make objective critical decisions for their project selections, funding allocations, a new facility location, a new product development and many other things. The TOPSIS is one of MCDA methods well known and widely adapted by industries due to ease of use and simplicity. TOPSIS ranks the preference order by relative closeness, which is geometric distances from the alternatives to the positive ideal solution. As part of TOPSIS method process, criteria and weights of each criterion are defined by decision maker(s). The selected criteria are related and influence each other. Thus, simple geometric distance calculation should be adjusted to incorporate the criteria inter-dependency. And it will change the outcome of TOPSIS analysis. This research will focus on investigation of criteria inter-dependency impacts on TOPSIS method and will define the criteria independence matrix (CIM) and process of transformation of the matrix. Finally, we will identify the method to incorporate the criteria independence matrix as part of MCDA methods. This CIM incorporated TOPSIS (C-TOPSIS) method will deliver a criteria-inter-dependency-adjusted support decision making process. This approach will help government agencies and private industries to reach a decision with minimized impact due to criteria similarities when TOPSIS is used.

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