Results 1 to 10 of about 186 (132)
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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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.
Antonios Kalampakas +1 more
exaly +3 more sources
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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Applications of (Neutro/Anti)sophications to Semihypergroups [PDF]
Journal of Mathematics, 2021 In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
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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.
exaly +2 more sources
ON THE PATH HYPEROPERATION AND ITS CONNECTIONS WITH HYPERGRAPH THEORY [PDF]
Journal of Algebraic Systems, 2023 In this paper, we introduce a path hyperoperation associated with a hypergraph,which is an extension of the Corsini’s hyperoperation.We investigate some related properties and study relations betweenthe path hyperoperation and hypergraph theory.
R. Bayat Tajvar, M. Latifi
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Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Mathematics, 2019 The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea +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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