A Triarchic Theory of Granular Computing
(Click paper title to download)
Based on the notion of granular structures,
a triarchic theory of granular computing
integrates three important perspectives,
namely, philosophy of structured thinking,
methodology of structured problem solving, and
mechanism of structured information processing.
A granular structure is comprised of multiple
levels that are populated by granules of varying
granularity. While a single granular structure
provides a multilevel understanding
and representation of the reality or a problem, many
granular structures give rise to multiview.
With an emphasis on multilevel and multiview,
the triarchic theory investigates systematically
ideas and structured ways to thinking, problem solving,
and information processing. It aims at a unified
theory that synthesizes various approaches
to granular computing.
Most Recent Paper
General Description of the Triarchic Theory
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Yao, Y.Y.,
A unified framework of granular computing,
in: Pedrycz, W., Skowron, A. and Kreinovich, V. (Eds.),
Handbook of Granular Computing, Wiley, pp. 401-410, 2008.
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Yao, Y.Y.,
Three perspectives of granular computing,
Journal of Nanchang Institute of Technology
25(2): 16-21, 2006.
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Yao, Y.Y.,
Perspectives of Granular Computing,
Proceedings of 2005 IEEE International Conference on Granular Computing,
Vol. 1, pp. 85-90, 2005.
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Yao, Y.Y.,
Granular computing: past, present and future,
2008 IEEE International Conference on Granular Computing,
pp. 80-85, 2008.
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姚一豫.
粒计算三元论.
张燕平, 罗 斌, 姚一豫, 苗夺谦, 王国胤, 张 铃, 张 钹 (编著),《商空间与粒计算 — 结构化问题求解理论与方法》，
北京: 科学出版社, 2010, 115-143.
(Yao, Y.Y., Triarchic theory of granular computing (in Chinese),
in: Zhang, Y.P., Luo, B., Yao, Y.Y., Miao, D.Q., Wang, G.Y., Zhang, L. and Zhang, B. (Eds.)
Quotient Space Theory and Granular Computing - Theory and Practice of
Structured Problem Solving(in Chinese), Science Press, Beijing, pp. 115-143, 2010.)
(
Scanned Copy)
Development of the Triarchic Theory
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Multilevel, mutltview granular structures
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Yao, Y.Y.,
Integrative levels of granularity,
in: A. Bargiela and W. Pedrycz (Eds.),
Human-Centric Information Processing Through Granular Modelling,
Springer-Verlag, Berlin, pp. 31-47, 2009.
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Yao, Y.Y., N. Zhang, D.Q. Miao, and F.F. Xu,
Set-theoretic approaches to granular computing,
Fundamenta Informaticae 115(2-3): 247-264, 2012.
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Philosophical foundations
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Yao, Y.Y.,
The art of granular computing,
Proceeding of the International Conference on
Rough Sets and Emerging Intelligent Systems Paradigms,
LNAI 4585, pp. 101-112, 2007.
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姚一豫.
粒计算的艺术.
苗夺谦, 王国胤, 刘清, 林早阳, 姚一豫 (编著), 《粒计算: 过去、现在与展望》, 科学出版社, 北京, 2007, 1-20.
(Yao, Y.Y., The art of granular computing,
in: Miao, D., Wang, G.Y., Liu, Q., Lin, T.Y. and Yao, Y.Y. (Eds.)
Granular Computing: Past, Present, and the Future Perspectives,
Academic Press, Beijing, China, 2007, pp. 1-20.)
(
Scanned Copy)
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Methodological foundations
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姚一豫.
粒计算方法论. 苗夺谦, 李德毅，姚一豫，王国胤， 张燕平，吴伟志，粱吉业，于达仁，王睿智 (编著), 《 不确定性与粒计算》， 北京 : 科 学出版社 , 2011, 150-163.
(Yao, Y.Y., Methodology of granular computing (in Chinese),
in: Miao, D.Q., Li, D.Y., Yao, Y.Y., Wang, G.Y., Zhang, Y.P., Wu, W.Z.,
Liang, J.Y., Yu, D.R., and Wang, R.Z. (Eds.),
Uncertainty and Granular Computing (in Chinese), Science Press,
Beijing, China, pp. 150-163, 2011.)
(
Scanned Copy)
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Mechanisms
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Yao, Y.Y.,
Granular computing and sequential three-way decisions.
In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S.,
Wasilewski, P. (eds.) RSKT 2013. LNCS (LNAI), vol. 8171,
pp. 16-27. Springer, Heidelberg (2013).
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Yao, Y.Y., Lou, J.G.,
Top-down progressive computing,
Proceedings of RSKT 2011,
LNCS(LNAI) 6954, pp. 734-742.
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