Solving Linear Systems Based on Z-Numbers

Moosavi, Seyed Mohsen; Araghi, Mohammad Ali Fariborzi; Ezadi, Somayeh

doi:10.1007/978-3-030-66501-2_76

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…In various occasions, SOM has been employed in the context of architectural design, 41,42 and it can be conveniently used to visualize high-dimensional spaces. 43,44 The implementation of the SOM algorithm used in the present work, and all the other ML algorithms described in this and the following sections, have been coded using built-in functions within the software Wolfram Mathematica (https://www.wolfram.com/mathematica/, accessed April 2020). The entire code is an open source (https://github.com/sakarla/Beyond-typologies-beyond-optimization/, accessed April 2020).…”

Section: Proposed Structural Design Frameworkmentioning

confidence: 99%

Beyond typologies, beyond optimization: Exploring novel structural forms at the interface of human and machine intelligence

Ochoa

Ohlbrock

D’Acunto

et al. 2020

International Journal of Architectural Computing

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This article presents a computer-aided design framework for the generation of non-standard structural forms in static equilibrium that takes advantage of the interaction between human and machine intelligence. The design framework relies on the implementation of a series of operations (generation, clustering, evaluation, selection, and regeneration) that allow to create multiple design options and to navigate in the design space according to objective and subjective criteria defined by the human designer. Through the interaction between human and machine intelligence, the machine can learn the nonlinear correlation between the design inputs and the design outputs preferred by the human designer and generate new options by itself. In addition, the machine can provide insights into the structural performance of the generated structural forms. Within the proposed framework, three main algorithms are used: Combinatorial Equilibrium Modeling for generating of structural forms in static equilibrium as design options, Self-Organizing Map for clustering the generated design options, and Gradient-Boosted Trees for classifying the design options. These algorithms are combined with the ability of human designers to evaluate non-quantifiable aspects of the design. To test the proposed framework in a real-world design scenario, the design of a stadium roof is presented as a case study.

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