On $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideals of $KU$-algebras
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We propose the concept of $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideals in $KU$-algebras and investigate some of its properties. We give conditions for $(\sigma,\tau)$-single valued neutrosophic soft ideal to be a single valued neutrosophic soft sub-implicative ideal. We show that any $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideal is a $(\sigma,\tau)$-single valued neutrosophic soft ideal, but the converse is not true. Using a level set of a single valued neutrosophic soft set in a $KU$-algebra, we give a characterization of $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideals. We study how to deal with the homomorphic image (pre-image) of a $(\sigma,\tau)$-single valued neutrosophic soft ideal of $KU$-algebra. Moreover, we introduce the notion of Cartesian product of $(\sigma,\tau)$-single valued neutrosophic soft ideals and study some of its properties.
Abstract
We propose the concept of $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideals in $KU$-algebras and investigate some of its properties. We give conditions for $(\sigma,\tau)$-single valued neutrosophic soft ideal to be a single valued neutrosophic soft sub-implicative ideal. We show that any $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideal is a $(\sigma,\tau)$-single valued neutrosophic soft ideal, but the converse is not true. Using a level set of a single valued neutrosophic soft set in a $KU$-algebra, we give a characterization of $(\sigma,\tau)$-single valued neutrosophic soft sub-implicative ideals. We study how to deal with the homomorphic image (pre-image) of a $(\sigma,\tau)$-single valued neutrosophic soft ideal of $KU$-algebra. Moreover, we introduce the notion of Cartesian product of $(\sigma,\tau)$-single valued neutrosophic soft ideals and study some of its properties.
참고문헌 (28)
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