Translative and Multiplicative Interpretation of Neutrosophic Cubic Set

Abstract

: In this paper, we introduce the idea of neutrosophic cubic translation (NCT) and neutrosophic cubic
multiplication (NCM) and provide entirely new type of conditions for neutrosophic cubic translation and
neutrosophic cubic multiplication on BF-algebra. This is the new kind of approach towards translation and
multiplication which involves the indeterminacy membership function. We also define neutrosophic cubic
magnified translation (NCMT) on BF-algebra which handles the neutrosophic cubic translation and
neutrosophic cubic multiplication at the same time on membership function, indeterminacy membership
function and non-membership function. We present the examples for better understanding of neutrosophic cubic
translation, neutrosophic cubic multiplication, and neutrosophic cubic magnified translation, and investigate
significant results of BF-ideal and BF-subalgebra by applying the ideas of NCT, NCM and NCMT. Intersection
and union of neutrosophic cubic BF-ideals are also explained through this new type of translation and
multiplication.