Neutrosophic RHO –Ideal with Complete Neutrosophic RHO– Ideal in RHO–Algebras

Abstract

In real-life structures, indeterminacy is always present. Neuosophic sets theory is a wellknown mathematical tool for dealing with indeterminacy. Smarandache proposed the neutrosophic
set approach. Neutrosophic sets deal with vague data. In this study, we introduced and
investigated several types of 𜌠−algebra ideals, which we called neutrosophic 𜌠−subalgebra,
complete neutrosophic 𜌠−subalgebra, neutrosophic 𜌠−ideal, complete neutrosophic 𜌠−ideal,
neutrosophic ðœŒÌ…−ideal, and complete neutrosophic ðœŒÌ…−ideal, respectively. We also proposed some
hypotheses to explain some of the relationships between these ideal types