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Simulation and Visualization of Concept Algebra in MATLAB

Simulation and Visualization of Concept Algebra in MATLAB

Xiaoyu Lin, Yingxu Wang
Copyright: © 2014 |Volume: 6 |Issue: 1 |Pages: 26
ISSN: 1942-9045|EISSN: 1942-9037|EISBN13: 9781466656802|DOI: 10.4018/ijssci.2014010103
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MLA

Lin, Xiaoyu, and Yingxu Wang. "Simulation and Visualization of Concept Algebra in MATLAB." IJSSCI vol.6, no.1 2014: pp.30-55. http://doi.org/10.4018/ijssci.2014010103

APA

Lin, X. & Wang, Y. (2014). Simulation and Visualization of Concept Algebra in MATLAB. International Journal of Software Science and Computational Intelligence (IJSSCI), 6(1), 30-55. http://doi.org/10.4018/ijssci.2014010103

Chicago

Lin, Xiaoyu, and Yingxu Wang. "Simulation and Visualization of Concept Algebra in MATLAB," International Journal of Software Science and Computational Intelligence (IJSSCI) 6, no.1: 30-55. http://doi.org/10.4018/ijssci.2014010103

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Abstract

Concept algebra (CA) is a denotational mathematics for formal knowledge manipulation and natural language processing. In order to explicitly demonstrate the mathematical models of formal concepts and their algebraic operations in CA, a simulation and visualization software is developed in the MATLAB environment known as the Visual Simulator of Concept Algebra (VSCA). This paper presents the design and implementation of VSCA and the theories underpinning its development. Visual simulations for the sets of reproductive and compositional operations of CA are demonstrated by real-world examples throughout the elaborations of CA and VSCA.

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