Application of Neutrosophic Soft Sets to <i>K</i>-Algebras

• Main Authors: Muhammad Akram, Hina Gulzar, Florentin Smarandache, Said Broumi
• Format: Article
• Language: English
• Published: MDPI AG 2018-11-01
• Series: Axioms
• Subjects: K-algebras; single-valued neutrosophic soft K-algebras; (∈,∈∨q)-single-valued neutrosophic soft K-algebras
• Online Access: https://www.mdpi.com/2075-1680/7/4/83
• ISSN: 2075-1680

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 <i>K</i>-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) <i>K</i>-algebras and investigate some of their properties. We establish the notion of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mo>&#8712;</mo> <mo>,</mo> <mo>&#8712;</mo> <mo>&or;</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>-single-valued neutrosophic soft <i>K</i>-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.