Knowledge representation: logical, philosophical and computational foundations
Knowledge representation: logical, philosophical and computational foundations
Philosophical Logic and Artificial Intelligence
Philosophical Logic and Artificial Intelligence
The Architecture of Cognition
Diagrammatic Reasoning: Cognitive and Computational Perspectives
Diagrammatic Reasoning: Cognitive and Computational Perspectives
ICCI '02 Proceedings of the 1st IEEE International Conference on Cognitive Informatics
A Framework for Representing Knowledge
A Framework for Representing Knowledge
Software Engineering Foundations: A Software Science Perspective
Software Engineering Foundations: A Software Science Perspective
Toward a Formal Knowledge System Theory and Its Cognitive Informatics Foundations
Transactions on Computational Science V
On contemporary denotational mathematics for computational intelligence
Transactions on computational science II
On mathematical laws of software
Transactions on computational science II
International Journal of Software Science and Computational Intelligence
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Concept algebra is an abstract mathematical structure for the formal treatment of concepts and their algebraic relations, operations, and associative rules for composing complex concepts, which provides a denotational mathematic means for knowledge system representation and manipulation. This paper presents an implementation of concept algebra by a set of simulations in Java. A visualized knowledge representation tool for concept algebra is developed, which enables machines learn concepts and knowledge autonomously. A set of eight relational operations and nine compositional operations of concept algebra are implemented in the tool to rigorously manipulate knowledge by concept networks. The knowledge representation tool is capable of presenting concepts and knowledge systems in multiple ways in order to simulate and visualize the dynamic concept networks during machine learning based on concept algebra.