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

ABSTRACTIn 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.KEYWORDS: Soft setfuzzy soft setuncertainty problemsalgorithmdecision making AcknowledgementsThe authors would like to thank to Mersin University-BAP.Disclosure statementThis article does not contain any studies with human participants or animals performed by any of the authors. Informed consent was obtained from all individual participants included in the paper, including their legal guardians.Additional informationFundingThis study is supported by Mersin University as scientific research project (BAP) with the project code 2022-2-TP3-4769.