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Jan Pelczynski
The present paper discusses an innovative approach providing the solution sets of engineering structures with uncertain parameters. The approach is based on the properties of convex sets and can be applied to structures described by the system of algebra...
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Kenneth Lange
The Hausdorff distance between two closed sets has important theoretical and practical applications. Yet apart from finite point clouds, there appear to be no generic algorithms for computing this quantity. Because many infinite sets are defined by algeb...
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Ye Mei, Juanjuan Peng and Junjie Yang
Hesitant fuzzy sets (HFSs), which were generalized from fuzzy sets, constrain the membership degree of an element to be a set of possible values between zero and one; furthermore, if two or more decision-makers select the same value, it is only counted o...
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Vladimir Beskorovainyi, Heorhii Berezovskyi
Pág. 14 - 20
The subject of the research in the article is the process of evaluating the properties of technological systems at the stages of their design and reengineering. The goal ? to improve the efficiency of procedures for multi-criteria evaluation of options f...
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Olli Jansson and Matthew W. Harris
This paper presents a solution strategy for deterministic time-optimal pursuit?evasion games with linear state constraints, convex control constraints, and linear dynamics that is consistent with linearized relative orbital motion models such as the Cloh...
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Shuting Cai, Qilun Luo, Ming Yang, Wen Li and Mingqing Xiao
Tensor Robust Principal Component Analysis (TRPCA) plays a critical role in handling high multi-dimensional data sets, aiming to recover the low-rank and sparse components both accurately and efficiently. In this paper, different from current approach, w...
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Annabella Astorino, Antonio Fuduli, Giovanni Giallombardo and Giovanna Miglionico
A multiple instance learning problem consists of categorizing objects, each represented as a set (bag) of points. Unlike the supervised classification paradigm, where each point of the training set is labeled, the labels are only associated with bags, wh...
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Tamás Luspay, Alfréd Csikós, Tamás Péni, István Varga, Balázs Kulcsár
Pág. 937 - 944
A set-theoretical approach is presented for a multi-objective control design of the local ramp metering problem. Two control objectives are specified: first, the optimization of traffic performance, by the minimization of total time spent. Second, the em...
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Mohammad Zamani Nejad, Mehdi Jabbari, Mehdi Ghannad
Pág. 65 - 73
Using multi-layers method (MLM), a semi-analytical solution have been derived for determination of displacements and stresses in a thick cylindrical shell with variable thickness under non-uniform pressure. Three different profiles (convex, linear and co...
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Kenneth Lange
The current paper proposes and tests algorithms for finding the diameter of a compact convex set and the farthest point in the set to another point. For these two nonconvex problems, I construct Frank?Wolfe and projected gradient ascent algorithms. Altho...
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Vasiliy V. Grigoriev, Oleg Iliev and Petr N. Vabishchevich
Parameter identification is an important research topic with a variety of applications in industrial and environmental problems. Usually, a functional has to be minimized in conjunction with parameter identification; thus, there is a certain similarity b...
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Vitalina Babenko, Elena Alisejko, Zoya Kochuyeva
Pág. 6 - 13
The subject matter of the article is a discrete dynamic system that consists of an object whose dynamics is described by a vector linear discrete recurrent relation and is affected by control parameters (managements) and uncontrolled parameters (th...
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Yang Chen, Masao Yamagishi and Isao Yamada
This paper proposes a new group-sparsity-inducing regularizer to approximate l2,0
l
2
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0
pseudo-norm. The regularizer is nonconvex, which can be seen as a linearly involved generalized Moreau enhancement of l2,1
l
2
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1
-norm. Moreover, the overall con...
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