TODIM and TOPSIS with Z-numbers
  In this paper, we present an approach that is able to handle with Z-numbers
in the context of Multi-Criteria Decision Making (MCDM) problems. Z-numbers are
composed of two parts, the first one is a restriction on the values that can be
assumed, and the second part is the reliability of the information. As human
beings we communicate with other people by means of natural language using
sentences like: the journey time from home to university takes about half hour,
very likely. Firstly, Z-numbers are converted to fuzzy numbers using a standard
procedure. Next, the Z-TODIM and Z-TOPSIS are presented as a direct extension
of the fuzzy TODIM and fuzzy TOPSIS, respectively. The proposed methods are
applied to two case studies and compared with the standard approach using crisp
values. Results obtained show the feasibility of the approach. In addition, a
graphical interface was built to handle with both methods Z- TODIM and Z-TOPSIS
allowing ease of use for user in other areas of knowledge.
