NDLI: A model of granular data: a design problem with the Tchebyschev-based clustering

Content Provider	IEEE Xplore Digital Library
Author	Bargiela, A. Pedrycz, W.
Copyright Year	2002
Description	Author affiliation: Dept. of Comput. & Math., Nottingham Trent Univ., UK (Bargiela, A.)
Abstract	We introduce a model of granular data emerging through a summarization and processing of numeric data. It supports data analysis and casts it in the setting of data mining. The structure of data is revealed through the FCM equipped with the Tchebyschev (l/sub /spl infin//) metric. The study offers a novel contribution to a gradient-based learning of the prototypes developed in the l/sub /spl infin//-based data space. The l/sub /spl infin// metric promotes a development of easily interpretable information granules, namely hyperboxes. A detailed discussion of their geometry is provided. In particular, we discuss a deformation effect of the hyperbox-shape of granules due to an interaction between the granules. We also show how the clustering gives rise to a two-level topology of information granules. A core part of the topology comes in the form of hyperbox information granules. A residual structure is expressed through detailed, yet difficult to interpret, membership grades. Illustrative examples including synthetic data are studied.
Sponsorship	IEEE IEEE Neural Networks Soc
Starting Page	578
Ending Page	583
File Size	341348
Page Count	6
File Format	PDF
ISBN	0780372808
DOI	10.1109/FUZZ.2002.1005056
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-05-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Prototypes Data mining Data analysis Information geometry Mathematical model Shape Topology Mathematics Data engineering Design engineering
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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