On the System Algebra Foundations for Granular Computing
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Theoretical computer science on system algebra foundations for granular computing.
The paper develops mathematical foundations for granular computing rather than studying research practice.
Computer-science theory of granular computing and system algebra, not metaresearch.
Abstract
Granular computing studies a novel approach to computing system modeling and information processing. Although a rich set of work has advanced the understanding of granular computing in dealing with the “to be” and “to have” problems of systems, the “to do” aspect of system modeling and behavioral implementation has been relatively overlooked. On the basis of a recent development in denotational mathematics known as system algebra, this paper presents a system metaphor of granules and explores the theoretical and mathematical foundations of granular computing. An abstract system model of granules is proposed in this paper. Rigorous manipulations of granular systems in computing are modeled by system algebra. The properties of granular systems are analyzed, which helps to explain the magnitudes and complexities of granular systems. Formal representation of granular systems for computing is demonstrated by real-world case studies, where concrete granules and their algebraic operations are explained.
Stored with the screening record, where it is evidence for the labels above.
The record
- Venue
- IGI Global eBooks
- Topic
- Cognitive Computing and Networks
- Field
- Computer Science
- Canadian institutions
- University of ReginaUniversity of Calgary
- Funders
- —
- Keywords
- Granular computingComputer scienceTheoretical computer scienceAlgebra over a fieldRepresentation (politics)Set (abstract data type)Algebraic numberRough setMathematicsArtificial intelligencePure mathematicsProgramming language
- Has abstract in OpenAlex
- yes