Simulation and Visualization of Concept Algebra in MATLAB

Author:

Lin Xiaoyu1,Wang Yingxu2

Affiliation:

1. International Institute of Cognitive Informatics and Cognitive Computing (ICIC), Department of Electrical and Computer Engineering, Schulich School of Engineering, University of Calgary, Calgary, Canada & College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian, China

2. International Institute of Cognitive Informatics and Cognitive Computing (ICIC), Department of Electrical and Computer Engineering, Schulich School of Engineering, University of Calgary, Calgary, Canada

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.

Publisher

IGI Global

Subject

Pharmacology (medical)

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