A Comprehensive Methodology Based on the Z-Set Theory for Material Selection Problem

Material selection is an important task. Different approaches have been proposed to fulfill this job, so far. However, most of them work well with only quantitatively measurable properties of materials. Also, due to a wide range of materials available, the selection space finds an uncertain characteristic. Therefore, it is a challenge problem to provide a powerful tool for dealing with the qualitative properties of materials, taking into accounting deep uncertain characteristics. The volume of mathematics involved with the conventional methods reduces considerably. In this paper, a comprehensive methodology based on the Z-set theory for material selection problem is suggested. A numerical example of using Z-Lab software is considered.