Results 71 to 80 of about 186 (132)

A Novel Approach in Number Theory for Representing Large Numbers: The Arrow-Free Notation

Al-Kitab Journal for Pure Sciences
This article introduces a new notation for expressing extremely large numbers, based on the hyperoperation concept in group theory. The method employs a finite sequence of positive integers separated by specific notational symbols, allowing for concise ...
Laith H. M. Al-Ossmi
doaj   +1 more source

Basic constructions of topological n-ary polygroups

Applied General Topology
In this paper, we begin the study of topological n-ary polygroups. We begin by stating some properties of topological n-ary polygroups and introducing quotient n-ary polygroups.
M. Mostaghimy, B. Davvaz
doaj   +1 more source

On Isomorphism Theorems of Fn -Polygroups [PDF]

Journal of Sciences, Islamic Republic of Iran, 2013
In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal  F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-
B. Davvaz
doaj  

Algebraization and Parameterization Transition Relations between Structured Objects with Applications in the Field of Neural Networks

, 2020
The dissertation thesis investigates the modeling of the neural network activity with a focus on a multilayer forward neural network (MLP – Multi Layer Perceptron).
Smetana, Bedřich
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The Divisors’ Hyperoperations

Ratio Mathematica, 2013
In the set N of the Natural Numbers we define two hyperoperations based on the divisors of the addition and multiplication of two numbers. Then, the properties of these two hyperoperations are studied together with the resulting hyperstructures. Furthermore, from the coexistence of these two hyperoperations in N ∗ , an H v -ring is resulting which is ...
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CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]

In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer ...
Hamidizadeh, Kazem, Mirvakili, Saeed, Manaviyat, Rauofeh   +2 more
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Fuzzy hyperideals in ternary semihyperrings

, 2020
. In a ternary semihyperring, addition is a hyperoperation and multiplication is a ternary operation. Indeed, the notion of ternary semihyperrings is a generalization of semirings.
B Davvaz
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Transposition Hypergroups: Noncommutative Join Spaces

, 1997
The study of various kinds of algebraic hypergroups is unified in the theory of transposition hypergroups. The hyperoperation in any hypergroup has two inverses given bya/b={x|a∈xb} andb/a={x|a∈bx}.
Jantosciak, James
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Bar and Theta Hyperoperations

Ratio Mathematica, 2011
In questionnaires the replacement of the scale of Likert by a bar was suggested in 2008 by Vougiouklis & Vougiouklis. The use of the bar was rapidly accepted in social sciences. The bar is closely related with fuzzy theory and has several advantages during both the filling-in questionnaires and mainly in the research processing. In this paper we relate
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A note on Hypervector Spaces

, 2020
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Tapas K Samanta, Sanjay Roy
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