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Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty. We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of ( ∈ , ∈ ∨ q ) -single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numericaldoi:10.3390/axioms7040083 fatcat:rnbgpshloravzof4etmyq5g23e