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1.
Algebraic Structures and Graph Theory
2023, scientific monograph

Keywords: graph, Cayley graph, graph energy, hypergraph, semigroup, algebra, hypergroup, hyperfield
Published in RUNG: 10.08.2023; Views: 204; Downloads: 3
.pdf Full text (4,26 MB)
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2.
Preface to the Special Issue “Algebraic Structures and Graph Theory”
Irina Cristea, Hashem Bordbar, 2023, short scientific article

Keywords: algebraic structure, graph
Published in RUNG: 27.07.2023; Views: 224; Downloads: 2
.pdf Full text (205,60 KB)
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3.
Arithmetic functions associated with hypergroups
Irina Cristea, 2023, published scientific conference contribution abstract

Keywords: hypergroup, Euler'sfunction, fuzzy grade, commutativity degree
Published in RUNG: 05.07.2023; Views: 309; Downloads: 1
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4.
Arithmetic functions on hypergroups
Irina Cristea, 2023, unpublished conference contribution

Keywords: hypergroup, Euler's function, commutativity degree, intuitionistic fuzzy grade
Published in RUNG: 05.07.2023; Views: 327; Downloads: 1
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5.
New Aspects in the Theory of Complete Hypergroups
Irina Cristea, 2023, published scientific conference contribution

Keywords: complete hypergroup, reversibility, regularity, reducibility, class equation, commutativity degree, Euler’s totient function
Published in RUNG: 20.06.2023; Views: 377; Downloads: 4
.pdf Full text (230,09 KB)

6.
Sonea, Andromeda Cristina (R-IASIM); Davvaz, Bijan (IR-YAZD) The Euler’s totient function in canonical hypergroups.
Irina Cristea, 2023, review, book review, critique

Keywords: hypergroup, Euler's totient function, polygroup
Published in RUNG: 16.03.2023; Views: 535; Downloads: 0
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7.
New aspects in the theory of complete hypergroups
Irina Cristea, published scientific conference contribution abstract

Keywords: hypergroup, complete part, reversibility, reducibility, class equation, commutativity degree
Published in RUNG: 08.03.2023; Views: 518; Downloads: 10
.pdf Full text (1,41 MB)

8.
Dependence Relations and Grade Fuzzy Set
Alessandro Linzi, Irina Cristea, 2023, original scientific article

Abstract: With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set. We call this measure the degree of influence. Its definition is based on a partial hyperoperation and a directed graph which we associate with any dependence relation. We compute the degree of influence in various examples and prove some general properties. Among these properties, we find symmetries that have the potential to be applied in the realization of effective algorithms for the computations.
Keywords: dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation
Published in RUNG: 23.01.2023; Views: 692; Downloads: 0
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9.
Euler’s totient function applied to complete hypergroups
Andromeda Sonea, Irina Cristea, 2023, original scientific article

Keywords: Euler’s totient function, complete hypergroup, period of an element heart of a hypergroup
Published in RUNG: 19.01.2023; Views: 653; Downloads: 0
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10.
Special Issue on Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
Irina Cristea, 2022, short scientific article

Keywords: symmetry, hypercompositional algebra, special issue
Published in RUNG: 17.10.2022; Views: 580; Downloads: 18
.pdf Full text (200,84 KB)
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