Results 71 to 80 of about 189 (116)
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
, 2020 This book is a collection of 12 innovative research papers in the field of hypercompositional algebra, 7 of them being more theoretically oriented, with the other 5 presenting strong applicative aspects in engineering, control theory, artificial ...
Cristea, Irina
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REPRODUCED PRINCIPAL IDEAL DOMAIN ON GENERAL HYPERRING Zp^nq^m [PDF]
Every classical algebra is a set equipped with binary operations that operate under certain axiom principles. The generalization of classical algebras to hyperalgebras has been created with the aim of generalizing operations to hyperoperations that apply
Daneshpayeh, Roohallah +1 more
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A novel connection between rough sets, hypergraphs and hypergroups
, 2017 This paper presents a general framework for the study of the relations between hypergraphs and hypergroups based on approximation operators. Indeed, by a given hypergraph [Formula: see text], an equivalence relation [Formula: see text] on the set of ...
Bijan Davvaz, Tita Khalis Maryati
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Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]
ScientificWorldJournal, 2014 Ersoy BA +3 more
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On the Insufficiency of the Complex Field for Inverse Hyperoperations
The historical development of number systems has been driven by the need to establish closure under inverse operations. This paper investigates whether this pattern continues for the hyperoperation of tetration. We present a formal proof that the field of complex numbers, C, is not closed under the inverse operation of tetration (the super-root).
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Exploring the Recursive and Inverse Structure of Hyperoperations
This paper explores the recursive and inverse behavior of hyperoperations, a hierarchy that extends exponentiation, tetration, and pentation to ever higher orders. While the structure of hyperoperations has long been known, their recursive formulation and inversion have not always been presented in a unified or general way.
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Categories of hypermagmas, hypergroups, and related hyperstructures
In order to diagnose the cause of some defects in the category of canonical hypergroups, we investigate several categories of hyperstructures that generalize hypergroups.
Reyes, Manuel L, Nakamura, So
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A novel study on the structure of left almost hypermodules. [PDF]
HeliyonAbughazalah N +3 more
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