Introduction To Hyper Neutrosophic Set
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Introduction to Neutrosophic Hypernear-rings
This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings.
Introduction to neutrosophic Nnearrings
The objective of this paper is to introduce the concept of neutrosophic nearrings. The concept of neutrosophic N-group of a neutrosophic nearring is introduced. We study neutrosophic subnearrings of neutrosophic nearrings and also neutrosophic N-subgroups of neutrosophic N- groups.
Introduction to Hyper Neutrosophic Set
This paper is devoted to introducing a novel concept known as Hyper Neutrosophic Set (HNS) as another subclass of neutrosophic Set (NS). The purpose of introducing the notion of HNS is to give a new mathematical theory that is more promising and purposeful than the existing fuzzy-centric theories to solve the uncertainty-based real-world problems lucidly.