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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Burrough, P.A., Frank, A.U., 1996. Geographic Objects with Indeterminate Boundaries. GISDATA Series, Vol. 2. Taylor & Francis.
Fisher, P., 2000. Sorites paradox and vague geographies. Fuzzy Sets and Systems, 113(1):7–18. [doi:10.1016/S0165-0114(99)00009-3]
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. [doi:10.1109/91.873577]
Mizumoto, M., Tanaka, K., 1976. Some properties of fuzzy sets of type-2. Information and Control, 31(4):312–340. [doi:10.1016/S0019-9958(76)80011-3]
Schneider, M., 1999. Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types. SSD’99, LNCS 1651, p.330–351.
Zadeh, L., 1975. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 8(3):199–249. [doi:10.1016/0020-0255(75)90036-5]
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Du, Gn., Zhu, Zy. Modelling spatial vagueness based on type-2 fuzzy set. J. Zhejiang Univ. - Sci. A 7, 250–256 (2006). https://doi.org/10.1631/jzus.2006.A0250
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2006.A0250