Results 1 to 10 of about 748 (136)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 A new class of hypergroupoids, deriving from binary relations, is presented, via the introduced path hyperoperation. Its properties are investigated and its connections with Graph Theory are also delineated.
Kalampakas Antonios +2 more
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On Fuzzy Corsini's Hyperoperations [PDF]
Journal of Applied Mathematics, 2012 We generalize the concept of C-hyperoperation and introduce the concept of F-C-hyperoperation. We list some basic properties of F-C-hyperoperation and the relationship between the concept of C-hyperoperation and the concept of F-C-hyperoperation. We also
Yuming Feng, P. Corsini
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Helix hyperoperation in teaching research
Science & Philosophy, 2020 Interaction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically,
Souzana Vougioukli
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Fuzzy Graph Hyperoperations and Path-Based Algebraic Structures
MathematicsThis paper introduces a framework of hypercompositional algebra on fuzzy graphs by defining and analyzing fuzzy path-based hyperoperations. Building on the notion of strongest strong paths (paths that are both strength-optimal and composed exclusively of
Antonios Kalampakas
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Map-Pointed Fuzzy Hyperoperations
Journal of Mathematics, 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 +3 more
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Constructing a hyperoperation sequence-pisa hyperoperations
IOP Conference Series: Materials Science and Engineering, 2021 Abstract In the context of other hyperoperation sequences, a new sequence of operations is constructed. A review of its properties reveals dependences between pairs of numbers, and so the sibling numbers are established. Two theorems are proven and the connection to small base tetration is revealed.
A. Andonov
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Algorithms for Finding Specific Elements in Algebraic Hyperstructures with One Hyperoperation [PDF]
Mathematics Interdisciplinary ResearchIn this paper, first, we show how to define an algebraic hyperstructure by using algorithms. Then, we present algorithms that calculate specific elements in algebraic hyperstructures. These specific elements are: scalars, scalar identities
Aboutorab Pourhaghani +2 more
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Construction of k-Hyperideals by P-Hyperoperations
Ratio Mathematica, 2005 In this note we present a method to construction new k-hyperideals from given k-ideals of a semiring R by using of the P-hyperoperations. Then we investigate the relationship between them.
H. Hedayati, R. Ameri
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A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP
Ratio Mathematica, 2005 The Hv-structures are hyperstructures where the equality is replaced by the non-empty intersection. The fact that this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined ...
Thomas Vougiouklis
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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
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