Results 71 to 80 of about 206 (112)
Characterizations of (strongly) ordered regular relations on ordered semihypergroups
Journal of Algebra, 2016 In this paper, the authors study the concept of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups. In particular, they construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup, which answers the
Ze Gu, Xilin Tang
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Series of Semihypergroups of Time-Varying Articial Neurons and Related Hyperstructures [PDF]
, 2019 Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators.
Chvalina, Jan, Smetana, Bedřich
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Abelization of join spaces of affine transformations of ordered field with proximity [PDF]
, 2005 [EN] Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups.
Hosková, Sárka
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A study on (strong) order-congruences in ordered semihypergroups
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this paper, we introduce the concepts of order-congruences and strong order-congruences on an ordered semihypergroup \(S,\) and obtain the relationship between strong order-congruences and pseudoorders on \(S\). Furthermore, we characterize the (strong) order-congruences by the \(\rho\)-chains, where \(\rho\) is a (strong) congruence on \(S\
Tang, Jian, Luo, Yanfeng, Xie, Xiangyun
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On the paper “A study on (strong) order-congruences in ordered semihypergroups”
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: Throughout the paper in the title by \textit{J. Tang} et al. [Turk. J. Math. 42, No. 3, 1255--1271 (2018; Zbl 1424.06069)] the following lemma has been used. \textbf{Lemma}: \textit{Let} \((S, \ast)\) \textit{be a semihypergroup and} \(\rho\) \textit{an equivalence relation on} \(S\).
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On the paper “Regular equivalence relations on ordered ∗-semihypergroups”
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: If \((S, \circ, \leq)\) is an ordered hypersemigroup, an equivalence relation \(\rho\) on \(S\) is called congruence if \((a, b)\in\rho\) implies \((a\circ x, b\circ x)\in\rho\) and \((x\circ a, x\circ b)\in\rho\) for every \(x\in S\); in the sense that for every \(u\in a\circ x\) there exists \(v\in b\circ x\) such that \((u, v)\in\rho\) and ...
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Foundation of SuperHyperStructure & Neutrosophic SuperHyperStructure (review paper) [PDF]
In this paper we extend the SuperHyperAlgebra, SuperHyperGraph, SuperHyperTopology, SuperHyperSoft Set, endowed with SuperHyperOperations, SuperHyperAxioms, and SuperHyperFunctions, to the most general form of structure, from our real world, called ...
Florentin Smarandache
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Applications of hesitant fuzzy sets to ternary semigroups. [PDF]
Heliyon, 2020 Yiarayong P.
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More Generalization of Union Soft Hyperideals of Ordered Semihypergroups
Kragujevac Journal of MathematicsIn this paper, we introduce the notions of (M,N)-union soft hyperideals and (M,N)-union soft interior hyperideals of ordered semihypergroups. Some basic operations are investigated and some related properties are also studied. We present characterizations of ordered semihypergroups in terms of (M,N)-union soft hyperideals and (M,N)-union soft interior ...
Farooq, Muhammad +2 more
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On right chain ordered semihypergroups
Journal of Mathematics and Computer Science, 2020 Pairote Yiarayong +2 more
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