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This paper focuses on mathematical models constructed using parameterization tools. The existence of possible interactions between the elements of the parameter set expressed for such mathematical models directly affects the decision-making process. In order to manage the decision-making processes for uncertainty problems in the most accurate way, the soft sets and fuzzy soft sets, which are among the first theories in which parameterization tools are used, are discussed. These sets were re-evaluated and the concepts of the pure (fuzzy) soft set were proposed. In addition, some properties of these concepts are explained by making examples. [ABSTRACT FROM AUTHOR]