Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation
Fuzziness is found everywhere, in modeling spatial relations, fuzziness is found at object level as well as in relation semantics. Commonly, fuzzy topological relations are computed between fuzzy objects. Fuzziness in relation semantics is represented by fuzzy topological relations between crisp obj...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/167939 |
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| _version_ | 1832556680176467968 |
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| author | Nadeem Salamat El-hadi Zahzah |
| author_facet | Nadeem Salamat El-hadi Zahzah |
| author_sort | Nadeem Salamat |
| collection | DOAJ |
| description | Fuzziness is found everywhere, in modeling spatial relations, fuzziness is found at object level as well as in relation semantics. Commonly, fuzzy topological relations are computed between fuzzy objects. Fuzziness in relation semantics is represented by fuzzy topological relations between crisp objects and these types of fuzzy topological relations are much less developed. In this paper, we propose a method for combining fuzzy topological and directional relations. We also propose an algorithm for defuzzification of relations which provides us a binary topological and directional relation between a 2D object pair. These relations are represented in a neighborhood graph. For validation and assessment, a number of experiments have been performed on artificial data. |
| format | Article |
| id | doaj-art-6f68043b1a4048b7a89553172e7c2832 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-6f68043b1a4048b7a89553172e7c28322025-02-03T05:44:40ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/167939167939Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and RepresentationNadeem Salamat0El-hadi Zahzah1Mathematics, Image, and Applications (MIA) Laboratory, University of La Rochelle, 17000 La Rochelle, FranceMathematics, Image, and Applications (MIA) Laboratory, University of La Rochelle, 17000 La Rochelle, FranceFuzziness is found everywhere, in modeling spatial relations, fuzziness is found at object level as well as in relation semantics. Commonly, fuzzy topological relations are computed between fuzzy objects. Fuzziness in relation semantics is represented by fuzzy topological relations between crisp objects and these types of fuzzy topological relations are much less developed. In this paper, we propose a method for combining fuzzy topological and directional relations. We also propose an algorithm for defuzzification of relations which provides us a binary topological and directional relation between a 2D object pair. These relations are represented in a neighborhood graph. For validation and assessment, a number of experiments have been performed on artificial data.http://dx.doi.org/10.1155/2012/167939 |
| spellingShingle | Nadeem Salamat El-hadi Zahzah Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation Advances in Fuzzy Systems |
| title | Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation |
| title_full | Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation |
| title_fullStr | Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation |
| title_full_unstemmed | Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation |
| title_short | Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation |
| title_sort | two dimensional fuzzy spatial relations a new way of computing and representation |
| url | http://dx.doi.org/10.1155/2012/167939 |
| work_keys_str_mv | AT nadeemsalamat twodimensionalfuzzyspatialrelationsanewwayofcomputingandrepresentation AT elhadizahzah twodimensionalfuzzyspatialrelationsanewwayofcomputingandrepresentation |