Mutriss a New Method for Material Selection Problems Using Multiple-Triangles Scenarios
31 Pages Posted: 10 Sep 2022
Material selection is a complex problem for product design and development in various engineering applications. To select an appropriate material among a set of materials, current approaches evaluate against a set of criteria that could be formulated as a multiple-criteria decision-making (MCDM) problem. In reviewing previous studies, we identified significant differences in the results associated with the different MCDM methods used for the same material selection problem, which potentially can lead to various problems in the product design. This paper proposes a novel MCDM approach called MUltiple-TRIangles ScenarioS (MUTRISS) to solve this challenge. The calculation of the areas that alternatives occupy in an n-dimensional space is the basis of MUTRISS method, which is done utilizing analytic geometry ideas and converting each alternative into n-edges forms. Architected on incompleteness in knowledge/information of decision-makers (DMs), MUTRISS is developed in two scenarios. To demonstrate the application and validation of the MUTRISS method, three cases of material selection are addressed. The relative closeness ratio, robustness analysis, compromise ranking coefficient, and similarity degree concepts are four new statistical measures that are introduced to analyze the results of various MCDM methods and compare them to MUTRISS. The results showed that the first scenario has a more robust procedure and yields more reliable results while the second scenario of MUTRISS functions analogous to distance-based MCDM methods.
Keywords: material selection, Analytic Geometry, MUTRISS, Relative closeness ratio, Robustness analysis, compromise ranking coefficient, Similarity degree
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