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This work has been funded by The Ministerio de Economía y Competitividad in Spain, project TRA2017-87978-R, AEI/FEDER, UE, and the mobility program ILINK+2018. It was supported in France by the ANR VIRTECH (ANR-17-CE10-0012-
Bravo, Teresa, Maury, Cédric
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APPLICATION OF THE THEORY OF OPTIMAL SET PARTITIONING BEFORE BUILDING MULTIPLICATIVELY WEIGHTED VORONOI DIAGRAM WITH FUZZY PARAMETERS [PDF]
An algorithm for constructing a multiplicatively weighted Voronoi diagram involving fuzzy parameters with the optimal location of a finite number of generator points in a limited set of n-dimensional Euclidean space 𝐸𝑛 has been suggested in the paper. The algorithm has been developed based on the synthesis of methods of solving the problems of optimal ...
O.M. Kiseliova +2 more
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A large number of real-world problems from various fields of human activity can be reduced to optimal partitioning-allocation problems with the purpose of minimizing the partitioning quality criterion.
Anatoly Bulat +4 more
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On the Dynamic Problem of Optimal Set Partitioning with Determination of Subset Center Coordinates
Relevance. Optimal set partitioning is one of the key problems in modern applied mathematics and optimization theory, with wide-ranging applications in logistics, computer science, bioengineering, complex systems modeling, and artificial intelligence. Of
Олена Кісельова +1 more
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Reviews and syntheses: Turning the challenges of partitioning ecosystem evaporation and transpiration into opportunities [PDF]
Evaporation (E) and transpiration (T) respond differently to ongoing changes in climate, atmospheric composition, and land use. It is difficult to partition ecosystem-scale evapotranspiration (ET) measurements into E and T, which makes it difficult to ...
P. C. Stoy +28 more
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Biomass Allocation of Invasive Cenchrus pauciflorus Based on R Package Smatr
Elucidating patterns of plant biomass allocation is an important subject in ecological research. Broadly speaking, two schools of thought are applied to understand it: allometric partitioning theory (APT) and optimal partitioning theory (OPT).
Tian Qiu +7 more
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An Approach of Path Optimization Algorithm for 3D Concrete Printing Based on Graph Theory
In this paper, a method of 3D concrete printing is used to find the optimal path of the nozzle running path. We propose a path optimization algorithm based on graph theory to solve two key problems in 3D concrete printing.
Zongfang Ma +5 more
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Fuzzy Modeling by Occupancy Degree and Optimal Partition of Projection Using Rough Set Theory
The rough set theory suggested by Pawlak represents the degree of consistency between conditions and decision attributes of data pairs that have no linguistic information. In this paper, by using this representation feature, we define a measure called the occupancy degree that represents the consistency degree of a premise and consequent variables in ...
Youngwan Cho, Kichul Lee, Mignon Park
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A general approach analyzing transient dynamics in plant biomass allocation patterns
Allometric biomass allocation theory and optimal partitioning theory are the most important theoretical frameworks for explaining and predicting plant biomass allocation patterns.
Renfei Chen, Jacob Weiner
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Purpose. Among various formulations of the optimal set partitioning (OSP) problem, dynamic variants—where optimization conditions change over time—are of particular interest due to their relevance for real-world applications.
E. M. Kiseleva +2 more
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