Abstract:

Decisions are an essential part of the life of every human. Every decision should be concerned with the goal, the resources available to achieve the purpose, and the restrictions. The decision-making process is com-plicated, and the multi-dimensional environment for all decisions has to be supported by a mathematical approach. Many scienti_c works are based on the decision-making process. The _eld of this research is con- cerned with Z-numbers proposed by Zadeh and its application in decision- making. The Z-numbers' arithmetic is a crucial aspect of the article. The proposed method combines Z-numbers and ranking of decisions by the expert. The approach is based on the expert's knowledge expressed in Z-number, where the reliability of the opinion, as a key factor, is consid-ered in the model of decision-making. The proposed method is illustrated by a numerical example. In addition, case studies were carried out that con_rm the usefulness of the technique in the decision-making process.