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Fuzzy Reduced Hypergroups [PDF]

open access: goldMathematics, 2020
The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case.
Milica Kankaras, Irina Cristea
doaj   +2 more sources

On Some Homological Properties of Hypergroup Algebras with Relation to Their Character Spaces

open access: yesJournal of Mathematics, 2022
In this paper, we study the notion of approximate biprojectivity and left φ-biprojectivity of some Banach algebras, where φ is a character. Indeed, we show that approximate biprojectivity of the hypergroup algebra L1K implies that K is compact. Moreover,
Amir Sahami   +3 more
doaj   +2 more sources

A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory [PDF]

open access: yesThe Scientific World Journal, 2014
Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem.
Hongjie Li, Yunqiang Yin
doaj   +2 more sources

Euler's totient function applied to complete hypergroups

open access: goldAIMS Mathematics, 2023
We study the Euler's totient function (called also the Euler's phi function) in the framework of finite complete hypergroups. These are algebraic hypercompositional structures constructed with the help of groups, and endowed with a multivalued operation,
Andromeda Sonea, Irina Cristea
doaj   +2 more sources

The non-commuting graph of a non-central hypergroup [PDF]

open access: goldOpen Mathematics, 2019
The aim of this paper is to construct and study the properties of a certain graph associated with a non-central hypergroup, i.e. a hypergroup having non-commutative the associated fundamental group.
Iranmanesh Mahdiyeh   +2 more
doaj   +2 more sources

On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators.
Chvalina Jan   +1 more
doaj   +2 more sources

On Refined Neutrosophic Canonical Hypergroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
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
M.A. Ibrahim   +3 more
doaj   +1 more source

On Symbolic Plithogenic Algebraic Structures and Hyper Structures [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
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 ...
A.A.A. Agboola, M.A. Ibrahim
doaj   +1 more source

Some Results on Single Valued Neutrosophic Hypergroup [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
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.
S. Rajareega   +4 more
doaj   +1 more source

ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES [PDF]

open access: yesJournal of Algebraic Systems, 2015
In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup.
Morteza Jafarpour, Fatemeh Alizadeh
doaj   +1 more source

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