IRMA-International.org: Creator of Knowledge
Information Resources Management Association
Advancing the Concepts & Practices of Information Resources Management in Modern Organizations

On the System Algebra Foundations for Granular Computing

On the System Algebra Foundations for Granular Computing
View Sample PDF
Author(s): Yingxu Wang (University of Calgary, Canada), Lotfi A. Zadeh (University of California, Berkeley, USA)and Yiyu Yao (University of Regina, Canada)
Copyright: 2009
Volume: 1
Issue: 1
Pages: 23
Source title: International Journal of Software Science and Computational Intelligence (IJSSCI)
Editor(s)-in-Chief: Brij Gupta (Asia University, Taichung City, Taiwan)and Andrew W.H. Ip (University of Saskatchewan, Canada)
DOI: 10.4018/jssci.2009010105

Purchase

View On the System Algebra Foundations for Granular Computing on the publisher's website for pricing and purchasing information.

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.

Related Content

. © 2024.
Dingju Zhu, Jianbin Tan, Guangbo Luo, Haoxiang Gu, Zhanhao Ye, Renfeng Deng, Keyi He, KaiLeung Yung, Andrew W. H. Ip. © 2023. 16 pages.
Mohammad Alauthman, Ahmad al-Qerem, Someah Alangari, Ali Mohd Ali, Ahmad Nabo, Amjad Aldweesh, Issam Jebreen, Ammar Almomani, Brij B. Gupta. © 2023. 24 pages.
Dilip Kumar Jang Bahadur Saini, Anupama Mishra, Dhirendra Siddharth, Pooja Joshi, Ritika Bansal, Shavi Bansal, Kwok Tai Chui. © 2023. 20 pages.
Piyush Bagla, Kuldeep Kumar. © 2023. 14 pages.
Charles Shi Tan. © 2023. 19 pages.
Irfan M. Leghari, Syed Asif Ali. © 2023. 11 pages.
Body Bottom