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Journal articles on the topic 'Neutrosophic hypergroup'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Zhang, Xiaohong, Florentin Smarandache, and Yingcang Ma. "Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups." Symmetry 11, no. 10 (2019): 1217. http://dx.doi.org/10.3390/sym11101217.

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The symmetry of hyperoperation is expressed by hypergroup, more extensive hyperalgebraic structures than hypergroups are studied in this paper. The new concepts of neutrosophic extended triplet semihypergroup (NET- semihypergroup) and neutrosophic extended triplet hypergroup (NET-hypergroup) are firstly introduced, some basic properties are obtained, and the relationships among NET- semihypergroups, regular semihypergroups, NET-hypergroups and regular hypergroups are systematically are investigated. Moreover, pure NET-semihypergroup and pure NET-hypergroup are investigated, and a strucuture th

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2

Hu, Minghao, Florentin Smarandache, and Xiaohong Zhang. "On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups." Symmetry 12, no. 1 (2020): 163. http://dx.doi.org/10.3390/sym12010163.

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We 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.

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3

Hameed, M. Shazib, Zaheer Ahmad, Shahbaz Ali, Augustine Larweh Mahu, and Walid F. A. Mosa. "Multicriteria Decision-Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single-Valued Neutrosophic Structure." Mathematical Problems in Engineering 2022 (September 26, 2022): 1–17. http://dx.doi.org/10.1155/2022/1743296.

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Polygroups are an extended form of groups and a subclass of hypergroups that follow group-type axioms. In this paper, we define a triplet single-valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups. Firstly, the main goal of this paper is to introduce hypergroups, polygroups, and anti-polygroups under a triplet single-valued neutrosophic structure and then present various profound results. We also examine the interaction and properties of level sets of triplet single

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4

admin, admin, A. A. A. Agboola, B. S. Badmus, and S. A. Akinleye. "On Refined Neutrosophic Hypergroup." International Journal of Neutrosophic Science, 2020, 86–99. http://dx.doi.org/10.54216/ijns.090203.

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This paper presents the refinement of neutrosophic hypergroup and studies some of its properties. Several interesting results and examples are presented. The existence of a good homomorphism between a refined neutrosophic hypergroup H(I1; I2) and a neutrosophic hypergroup H(I) is established. Keywords: Neutrosophy, neutrosophic hypegroup, neutrosophic subhypergroup, refined neutrosophic hypergroup, refined neutrosophic subhypergroup.

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5

M.A., Ibrahim, Agboola A.A.A., Badmus B.S., and Akinleye S.A. "On Refined Neutrosophic Hypergroup." August 19, 2020. https://doi.org/10.5281/zenodo.3991494.

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This paper presents the refinement of neutrosophic hypergroup and studies some of its properties. Several interesting results and examples are presented. The existence of a good homomorphism between a refined neutrosophic hypergroup H(I1,I2) and a neutrosophic hypergroup H(I) is established. 

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6

M.A., Ibrahim, Agboola A.A.A., Ibrahim Z.H., and Adeleke E.O. "On Refined Neutrosophic Canonical Hypergroups." September 8, 2021. https://doi.org/10.5281/zenodo.5486593.

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Refinement of neutrosophic algebraic structure or hyperstructure allows for the splitting of the indeterminate factor into different sub-indeterminate and gives a detailed information about the neutrosophic structure/hyperstructure considered. This paper is concerned with the development of a refined neutrosophic canonical hypergroup from a canonical hypergroup R and sub-indeterminate I1 and I2. Several interesting results and examples are presented. The paper also studies refined neutrosophic homomorphisms and establishes the existence of a good homomorphism between a refined neutrosophic can

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7

S., Rajareega, Preethi D., Vimala J., Selvachandran Ganeshsree, and Smarandache Florentin. "Some Results on Single Valued Neutrosophic Hypergroup." February 5, 2020. https://doi.org/10.5281/zenodo.3639139.

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We 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.

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8

.., M. A., and A. A. A. Agboola. "Introduction to Neutrosophic Hypernear-rings." International Journal of Neutrosophic Science, 2020, 09–22. http://dx.doi.org/10.54216/ijns.0100101.

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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 hyp

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9

Ibrahim, M.A., and A. A. Agboola. "Introduction to Neutrosophic Hypernear-rings." November 17, 2020. https://doi.org/10.5281/zenodo.4277197.

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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 hyp

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10

Agboola, A.A.A, and S.A. Akinleye. "Neutrosophic Hypercompositional Structures defined by Binary Relations." July 1, 2015. https://doi.org/10.5281/zenodo.22589.

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The objective of this paper is to study neutrosophic hypercompositional structures  arising from the hypercompositions derived from the binary relations τ on a neutrosophic set. 

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11

A.A.A., Agboola, and Ibrahim M.A. "On Symbolic Plithogenic Algebraic Structures and Hyper Structures." July 29, 2023. https://doi.org/10.5281/zenodo.8194799.

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The objective of this paper is to study symbolic Plithogenic algebraic structures and hyper structures. In particular, we study symbolic Plithogenic group, symbolic Plithogenic ring, symbolic Plithogenic hypergroup and symbolic Plithogenic canonical hypergroup.

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12

M., Al-Tahan, and Davvaz B. "Refined neutrosophic quadruple (po-)hypergroups and their fundamental group." July 9, 2019. https://doi.org/10.5281/zenodo.3275550.

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After 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 re

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13

Agboola, A. A. A., and B. Davvaz. "On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings." Neutrosophic Sets and Systems 2, 2014 (May 5, 2014). https://doi.org/10.5281/zenodo.571568.

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A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosophic hyperrings are presented. Quotient neutrosophic canonical hypergroups and neutrosophic hyperrings are presented.

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14

Agboola, A.A.A., and B. Davvaz. "On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings." July 1, 2015. https://doi.org/10.5281/zenodo.22610.

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A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosophic hyperrings are presented. Quotient neutrosophic canonical hypergroups and neutrosophic hyperrings are presented.

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15

A., A. A. Agboola, Davvaz B., and Smarandache F. "Neutrosophic quadruple algebraic hyperstructures." July 12, 2017. https://doi.org/10.5281/zenodo.888880.

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The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.

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