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Author: Adesina Abdul Akeem Agboola
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOKThe objective of this paper is to introduce the concept of neutrosophic hypergroup and present some of its elementary properties.
Author: M.A. Ibrahim
Publisher: Infinite Study
Published:
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKThis 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.
Author: S. A. Akinleye
Publisher: Infinite Study
Published:
Total Pages: 14
ISBN-13:
DOWNLOAD EBOOKThe 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.
Author: M. A. Ibrahim
Publisher: Infinite Study
Published: 2020-12-01
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKNeutroSophication and AntiSophication are processes through which NeutroAlgebraic and AntiAlgebraic structures can be generated from any classical structures. Given any classical structure with m operations (laws and axioms) we can generate NeutroStructures and AntiStructures. In this paper, we introduce for the first time the concept of NeutroHyperGroups.
Author: S. Rajareega
Publisher: Infinite Study
Published:
Total Pages: 6
ISBN-13:
DOWNLOAD EBOOKWe introduced the theory of Single valued neutrosophic hypergroup as the initial theory of single valued neutrosophic hyper algebra and also developed some results on single valued neutrosophic hypergroup.
Author: M. Al-Tahan
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKAfter introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple groups. Moreover, some results related to refined neutrosophic quadruple po-hypergroups are obtained.
Author: Minghao Hu
Publisher: Infinite Study
Published:
Total Pages: 24
ISBN-13:
DOWNLOAD EBOOKWe introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA-hypergroups, regular LA-hypergroups. In particular, we introduce the notion of strong pure neutrosophic extended triplet LA-semihypergroup, get some special properties of it and prove the construction theorem about it under the condition of asymmetry. The examples in this paper are all from Python programs.
Author: Abdullah Kargın
Publisher: Infinite Study
Published: 2023-01-01
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKIn this chapter, a new type Hyper groups are defined, corresponding basic properties and examples for new type Hyper groups are given and proved. Moreover, new type Hypergroups groups and are compared to hyper groups and groups. New type Hyper groups are shown to have a more general structure according to Hyper groups and groups. Also, new type SuperHyper groups are defined, corresponding basic properties and examples for new type SuperHyper are given and proved. Furthermore, we defined neutro-new type SuperHyper groups.
Author: Shah Nawaz
Publisher: Infinite Study
Published: 2020-10-01
Total Pages: 17
ISBN-13:
DOWNLOAD EBOOKThe main motivation of this article is to introduce the theme of Neutrosophic triplet(NT) Hv-LA-Groups. This inspiration is recieved from the structure of weak non-associative Neutrosophic triplet(NT) structures. For it, firstly, we define that each element x have left neut(x) and left anti(x) ; which may or may not unique. We further introduce the notion of neutrosophic triplet Hv-LA-subgroups and neutrosophic weak homomorphism on NT Hv-LA-Group. Secondly, presented NT Hv-LA-Group and develop two Mathematica Packages which help to check the left invertive law, weak left invertive law and reproductive axiom. Finally established a numerical example to validate the proposed approach in chemistry using redox reactions.
Author: S. Khademan
Publisher: Infinite Study
Published:
Total Pages: 17
ISBN-13:
DOWNLOAD EBOOKIn this paper we introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal and reflexive neutrosophic hyper BCK-ideal. Some relevant properties and their relations are indicated. Characterization of neutrosophic (weak) hyper BCK-ideal is considered.
