APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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EL-hyperstructures: an overview
Get PDFThis paper gives a current overview of theoretical background of a special class of hyperstructures constructed from quasi / partially or dered (semi) groups using a construction known as the "Ends lemma". The paper is a collection of both older and new results presented at AHA 2011
Codes on s-periodic errors
Get PDFIn this paper, we study linear codes capable of detecting and correcting s-periodic errors. Lower and upper bounds on the number of parity check digits required for codes detecting such errors are obtained. Another bound on codes correcting such errors is also obtained. An example of a code detecting such errors is provided
Operators on Weak Hypervector Spaces
Get PDFLet X and Y be weak hypervector spaces and Lw (X,Y ) be the set of all weak linear operators from X into Y . We prove some algebraic properties of Lw (X,Y )
General ω-hyperstructures and certain applications of those
Get PDFThe 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 hyperstructures with hyperoperations of countable arity. Speci cations of treated concepts to examples from various elds of the mathematical sturctures theory are also included.
Directed Graphs representing isomorphism classes of C-Hypergroupoids
Get PDFWe investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to the 73 C-hypergroupoids associated with binary relations on three element sets. As it is shown they constitute an upper semilattice with respect tograph inclusion
Hv-semigroups as noise pollution models in urban areas
Get PDFPoor urban planning may give rise to noise pollution, since side by side industrial and residential buildings can result in noise pollution in the residential area. In this paper we represent the noise pollution with an Hv-semigroup. More specic, we introduce the concept of right reproductive Hv-semigroup which seems to be a useful tool to study the noise pollution problem in urban areas
Closed, Re exive, Invertible, and Normal Subhypergroups of Special Hypergroups
Get PDFIn [5] J. Jantosciak introduced several special types of subhyper-groups (invertible, closed, normal, re exive) of a general hypergroup and studied their relationship. In this article, the full description of such subhypergroups in hypergroups induced by quasiordered groups is given. Further, it is shown that there are no such non-trivial sub-hypergroups in quasiorder hypergroups
(Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches
Get PDFThis paper aims to present a short survey on two numerical functions determined by a hypergroupoid, called the fuzzy grade and the intuitionistic fuzzy grade of a hypergroupoid. It starts with the main construction of the sequences of join spaces and (intuitionistic) fuzzy sets associated with a hypergroupoid. After some computations of the above grades, we discuss some similarities and differences between the two grades for the complete hypergroups and for the i.p.s. hypergroups. We conclude with some open problems
About a definition of metric over an abelian linearly ordered group
Get PDFA G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G
An Optimization Framework for “Build-or-Buy” Strategy for component Selection in a Fault Tolerant Modular Software System under Recovery Block Scheme
Get PDFThis paper discusses a framework that helps developers to decide whether to buy or build components of software architecture. Two optimization models have been proposed. First model is Bi-criteria optimization model based on decision variables in order to maximize the software reliability with simultaneous minimization of the overall cost of the system. The second optimization model deals with the issue of compatibility