Soft Neutrosophic Loops and Their Generalization

Abstract

Soft set theory is a general mathematical tool
for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic
loop,soft neutosophic biloop, soft neutrosophic
N
-loop
with the discuission of some of their characteristics. We
also introduced a new type of soft neutrophic loop, the so
called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also found in all the other corresponding notions of soft neutrosophic thoery. We
also given some of their properties of this newly born
soft structure related to the strong part of neutrosophic
theory.