Results 11 to 20 of about 401 (107)

Hyperstructure Theory Applied to BF-Algebras

Symmetry, 2023
This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built.
Ghulam Muhiuddin, Nabilah Abughazalah, Ahsan Mahboob, Abdullah G. Alotaibi   +3 more
openaire   +3 more sources

Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

Journal of Mathematics
The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +2 more sources

Hyperstructures of affine algebraic group schemes

Journal of Number Theory, 2016
We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections.
Jaiung Jun
openaire   +4 more sources

On soft topological hypergroups [PDF]

Journal of Hyperstructures, 2020
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj   +1 more source

Soft set theoretic approach to hyperstructtures [PDF]

Journal of Hyperstructures, 2016
In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
doaj   +1 more source

Roadmap on Label‐Free Super‐Resolution Imaging

Laser &Photonics Reviews, Volume 17, Issue 12, December 2023., 2023
This Roadmap presents a comprehensive vision of developments in the field of nanoscale imaging of non‐fluorescent objects with a focus on methods allowing to overcome the classical diffraction limit. The scope of this Roadmap spans from diffraction‐limited interference detection techniques to super‐resolution methods based on information science ...
Vasily N. Astratov, Yair Ben Sahel, Yonina C. Eldar, Luzhe Huang, Aydogan Ozcan, Nikolay Zheludev, Junxiang Zhao, Zachary Burns, Zhaowei Liu, Evgenii Narimanov, Neha Goswami, Gabriel Popescu, Emanuel Pfitzner, Philipp Kukura, Yi‐Teng Hsiao, Chia‐Lung Hsieh, Brian Abbey, Alberto Diaspro, Aymeric LeGratiet, Paolo Bianchini, Natan T. Shaked, Bertrand Simon, Nicolas Verrier, Matthieu Debailleul, Olivier Haeberlé, Sheng Wang, Mengkun Liu, Yeran Bai, Ji‐Xin Cheng, Behjat S. Kariman, Katsumasa Fujita, Moshe Sinvani, Zeev Zalevsky, Xiangping Li, Guan‐Jie Huang, Shi‐Wei Chu, Omer Tzang, Dror Hershkovitz, Ori Cheshnovsky, Mikko J. Huttunen, Stefan G. Stanciu, Vera N. Smolyaninova, Igor I. Smolyaninov, Ulf Leonhardt, Sahar Sahebdivan, Zengbo Wang, Boris Luk'yanchuk, Limin Wu, Alexey V. Maslov, Boya Jin, Constantin R. Simovski, Stephane Perrin, Paul Montgomery, Sylvain Lecler   +53 more
wiley   +1 more source

Applications on Bipolar Vague Soft Sets

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr, Abdisalam Hassan Muse, Mohamed S. Mohamed, Saieed F. Ateya, Jun Ye   +4 more
wiley   +1 more source

On Refined Neutrosophic Algebraic Hyperstructures I [PDF]

International Journal of Neutrosophic Science, 2020
Given any algebraic hyperstructure (X, ∗, ◦), the objective of this paper is to generate a refined neutrosophic algebraic hyperstructure (X(I1, I2), ∗', ◦') from X, I1 and I2 and study refined neutrosophic Krasner hyper-rings in particular.
Agboola, A, Ibrahim, Muritala, Adeleke, E, Akinleye, S   +3 more
openaire   +2 more sources

Map‐Pointed Fuzzy Hyperoperations

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati, Hamid Rasouli, Abolghasem Karimi Feizabadi, Abolfazl Tehranian, Francisco J. Garcia Pacheco   +4 more
wiley   +1 more source

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source