Table representations of granulations revisited pre-topological information tables

I-Jen Chiang; Tsau Young Lin; Yong Liu

Table representations of granulations revisited pre-topological information tables

I-Jen Chiang, Tsau Young Lin, Yong Liu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper examines the knowledge representation theory of granulations. The key strengths of rough set theory are its capabilities in representing and processing knowledge in table format. For general granulation such capabilities are unknown. For single level granulation, two initial theories have been proposed previously by one of the authors. In this paper, the theories are re-visited, a new and deeper analysis is presented: Granular information table is an incomplete representation, so computing with words is the main method of knowledge processing. However for symmetrical granulation, the pre-topological information table is a complete representation, so the knowledge processing can be formal.

Original language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Pages	728-737
Number of pages	10
Volume	6104
Publication status	Published - 2006
Event	High-Power Diode Laser Technology and Applications IV - San Jose, CA, United States Duration: Jan 23 2006 → Jan 25 2006

Other

Other	High-Power Diode Laser Technology and Applications IV
Country/Territory	United States
City	San Jose, CA
Period	1/23/06 → 1/25/06

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

Cite this

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title = "Table representations of granulations revisited pre-topological information tables",

abstract = "This paper examines the knowledge representation theory of granulations. The key strengths of rough set theory are its capabilities in representing and processing knowledge in table format. For general granulation such capabilities are unknown. For single level granulation, two initial theories have been proposed previously by one of the authors. In this paper, the theories are re-visited, a new and deeper analysis is presented: Granular information table is an incomplete representation, so computing with words is the main method of knowledge processing. However for symmetrical granulation, the pre-topological information table is a complete representation, so the knowledge processing can be formal.",

author = "I-Jen Chiang and Lin, {Tsau Young} and Yong Liu",

year = "2006",

language = "English",

isbn = "0819461466",

volume = "6104",

pages = "728--737",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "High-Power Diode Laser Technology and Applications IV ; Conference date: 23-01-2006 Through 25-01-2006",

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T1 - Table representations of granulations revisited pre-topological information tables

AU - Chiang, I-Jen

AU - Lin, Tsau Young

AU - Liu, Yong

PY - 2006

Y1 - 2006

N2 - This paper examines the knowledge representation theory of granulations. The key strengths of rough set theory are its capabilities in representing and processing knowledge in table format. For general granulation such capabilities are unknown. For single level granulation, two initial theories have been proposed previously by one of the authors. In this paper, the theories are re-visited, a new and deeper analysis is presented: Granular information table is an incomplete representation, so computing with words is the main method of knowledge processing. However for symmetrical granulation, the pre-topological information table is a complete representation, so the knowledge processing can be formal.

AB - This paper examines the knowledge representation theory of granulations. The key strengths of rough set theory are its capabilities in representing and processing knowledge in table format. For general granulation such capabilities are unknown. For single level granulation, two initial theories have been proposed previously by one of the authors. In this paper, the theories are re-visited, a new and deeper analysis is presented: Granular information table is an incomplete representation, so computing with words is the main method of knowledge processing. However for symmetrical granulation, the pre-topological information table is a complete representation, so the knowledge processing can be formal.

UR - http://www.scopus.com/inward/record.url?scp=33646000850&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646000850&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:33646000850

SN - 0819461466

SN - 9780819461469

VL - 6104

SP - 728

EP - 737

BT - Proceedings of SPIE - The International Society for Optical Engineering

T2 - High-Power Diode Laser Technology and Applications IV

Y2 - 23 January 2006 through 25 January 2006

ER -

Table representations of granulations revisited pre-topological information tables

Abstract

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ASJC Scopus subject areas

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