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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.2 P.250~256

http://doi.org/10.1631/jzus.2006.A0250


Modelling spatial vagueness based on type-2 fuzzy set


Author(s):  Du Guo-ning, Zhu Zhong-ying

Affiliation(s):  Department of Automation, Shanghai Jiao Tong University, Shanghai 200030, China

Corresponding email(s):   dgnmail@sjtu.edu.cn

Key Words:  Fuzzy theory, Type-2 fuzzy set, Spatial vagueness, Geographic Information System (GIS), Membership function (MF)


Du Guo-ning, Zhu Zhong-ying. Modelling spatial vagueness based on type-2 fuzzy set[J]. Journal of Zhejiang University Science A, 2006, 7(2): 250~256.

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author="Du Guo-ning, Zhu Zhong-ying",
journal="Journal of Zhejiang University Science A",
volume="7",
number="2",
pages="250~256",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0250"
}

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%T Modelling spatial vagueness based on type-2 fuzzy set
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%A Zhu Zhong-ying
%J Journal of Zhejiang University SCIENCE A
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%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A0250

TY - JOUR
T1 - Modelling spatial vagueness based on type-2 fuzzy set
A1 - Du Guo-ning
A1 - Zhu Zhong-ying
J0 - Journal of Zhejiang University Science A
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SP - 250
EP - 256
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0250


Abstract: 
The modelling and formal characterization of spatial vagueness plays an increasingly important role in the implementation of geographic Information System (GIS). The concepts involved in spatial objects of GIS have been investigated and acknowledged as being vague and ambiguous. Models and methods which describe and handle fuzzy or vague (rather than crisp or determinate) spatial objects, will be more necessary in GIS. This paper proposes a new method for modelling spatial vagueness based on type-2 fuzzy set, which is distinguished from the traditional type-1 fuzzy methods and more suitable for describing and implementing the vague concepts and objects in GIS.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Burrough, P.A., Frank, A.U., 1996. Geographic Objects with Indeterminate Boundaries. GISDATA Series, vol.2. Taylor & Francis.

[2] Liang, Q.L., Mendel, J.M., 2000. Interval type-2 fuzzy logic system: theory and design. IEEE Transaction on Fuzzy System, 8(5):535-550.

[3] Mizumoto, M., Tanaka, K., 1976. Some properties of fuzzy sets of type-2. Information and Control, 31(4):312-340.

[4] Fisher, P., 2000. Sorites paradox and vague geographies. Fuzzy Sets and Systems, 113(1):7-18.

[5] Schneider, M., 1999. Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types, SSD’99, LNCS 1651, p.330-351.

[6] Zadeh, L., 1975. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 8(3):199-249.

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