Approaches that take into account interactions between parameters: pure (fuzzy) soft sets

ABSTRACT

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.

KEYWORDS:

• Soft sets
• fuzzy soft sets
• pure soft sets
• pure fuzzy soft sets
• pure parameter set

2010 AMS SUBJECT CLASSIFICATIONS:

• 03C55
• 03E72

Disclosure statement

No potential conflict of interest was reported by the author(s).