Deriving fuzzy topological relations from incomplete observations

Subhankar Jana (), Anjali Patel () and Juthika Mahanta ()
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Subhankar Jana: National Institute of Technology Silchar
Anjali Patel: National Institute of Technology Silchar
Juthika Mahanta: National Institute of Technology Silchar

Journal of Geographical Systems, 2024, vol. 26, issue 1, No 6, 117-147

Abstract: Abstract Spatial objects in a geographical information system are often vague. Fuzzy topology-based intersection methods were introduced to obtain the topological relation between such vague objects by considering the objects as fuzzy sets. The elements of the intersection matrices express the nature of the intersections between topological parts of the objects. In reality, it may only be possible to calculate some of the required intersections due to the unavailability of data. This paper introduces a method to construct a fuzzy 9-intersection matrix under incomplete observations. Further, it computes the possible fuzzy topological relation using a quantitative fuzzy 9-intersection method based on fuzzy similarity measure. Some special cases of the incomplete observations and fuzzy topological relation under such situations are discussed. Finally, few applications are presented, where the proposed method is used to obtain relation between two uncertain objects under the condition that the topological properties of the objects are partially known.

Keywords: Fuzzy 9-intersection matrix; GIS; Fuzzy modeling; Fuzzy topology; Uncertain object modeling; Incomplete observation (search for similar items in EconPapers)
JEL-codes: C02 C21 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10109-023-00432-x

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