Neutrosophic interval-valued anti fuzzy linear space

Abstract

In this research paper, we have introduced the concept of Neutrosophic interval-valued anti fuzzylinear space (NIVAFLS) and have also examined its various distinct characteristics. A counter example hasdemonstrated that the intersection of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs)does not possess the capability to be a Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS).Conversely, the union of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs) does form aNeutrosophic interval-valued anti fuzzy linear space (NIVAFLS). Additionally, we have defined and providedan explanation for the cartesian product of two (NIVAFLSs). Furthermore, we have performed a study onthe homomorphic image and inverse image of Neutrosophic Anti-Fuzzy Linear Space (NIVAFLS), along withinvestigating some related properties.