Novel hybrid soft set theories focusing on decision-makers by considering the factors affecting the parameters

In this paper, the parameterisation tool of soft set theory is focused and factor sets are defined for all factors that can affect each parameter. Thus, more ideal results are aimed by determining the membership values of the parameters in uncertain environments. In addition, some new hybrid types of soft sets have been defined. The most important advantage of these new hybrid mathematical tools is that they can reduce the possible error margin of decision-makers. Moreover, a decision-making algorithm has been proposed for the set type that can bring us to the most comprehensive data on uncertainty. Finally, the solution to an uncertainty problem is obtained by using the given algorithm.

Automated summary

This paper focuses on the parameterisation tool of soft set theory and defines factor sets for all factors that can affect each parameter. It aims to achieve more ideal results by determining the membership values of the parameters in uncertain environments. Additionally, new hybrid types of soft sets have been defined. The most significant advantage of these new hybrid mathematical tools is their ability to reduce the possible error margin of decision-makers. Moreover, a decision-making algorithm is proposed for the set type that can provide the most comprehensive data on uncertainty. Finally, an uncertainty problem is solved using the given algorithm.