Results 21 to 30 of about 189 (116)
On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2014 A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
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Helix-Hopes on Finite Hyperfields [PDF]
Ratio Mathematica, 2016 Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations.
Thomas Vougiouklis, Souzana Vougiouklis
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Helix-Hopes on S-Helix Matrices [PDF]
Ratio Mathematica, 2017 A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. The main characteristic of the helix-hyperoperation is that all entries of the matrices are used.
Souzana Vougioukli, Thomas Vougiouklis
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices.
Křehlík Štěpán, Novák Michal
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On geometrical hyperstructures of finite order
Ratio Mathematica, 2011 It is known that a concrete representation of a finite k-dimensional Projective Geometry can be given by means of marks of a Galois Field GF [p^n], denoted by PG(k, p^n). In this geometry, we define hyperoperations, which create hyperstructures of finite
Achilles Dramalidis
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On Refined Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2021 This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim +3 more
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General ω-hyperstructures and certain applications of those
Ratio Mathematica, 2012 The aim of this paper is to investigate general hyperstructures construction of which is based on ideas of A. D. Nezhad and R. S. Hashemi. Concept of general hyperstructures considered by the above mentioned authors is generalized on the case of ...
Jan Chvalina, Sarka Hoskova-Mayerova
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A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
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ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed +5 more
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