Contributions to the Theory of Soft Sets

Abstract

Molodtsov introduced the concept of soft set asa new mathematical tool for dealing with problems containinguncertainties. In the literature, different kinds of operations ofsoft sets are defined and used in theory and applications. Someresearchers showed that some of these definitions have a few gaps.In this paper, we make contributions to the theory of soft setsin which we first make some modifications to the operations ofsoft sets and fill in these gaps. Until now, to define soft setsand their properties, the authors have used different subsets ofthe parameters set for each soft set. Whereas, we use a singleparameter set for all of soft sets in our approach. We then comparethe definitions with those defined before

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