The influence of fuzzy set theory on the areal extent of thematic map classes.
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| Title: | The influence of fuzzy set theory on the areal extent of thematic map classes. |
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| Authors: | Ricotta, C., Avena, G. C. |
| Source: | International Journal of Remote Sensing. 01/10/99, Vol. 20 Issue 1, p201-205. 5p. |
| Subjects: | Thematic maps, Fuzzy sets |
| Abstract: | In thematic maps information is traditionally represented in a onepolygon-one class method which assumes each polygon in the map can be assigned unambiguously to a single class. Additionally, thematic map classes are assumed to be exhaustive and mutually exclusive. The introduction of fuzzy classifications overcomes the traditional limitations on the mutually exclusive nature of map classes assigning varying levels of class membership for individual map polygons. As a consequence, fuzzy set theory expands the conventional assumptions regarding the total areal extent of thematic map classes. Considering that a map polygon may simultaneously belong to more than one thematic map class, the total areal extent of all classes in a thematic map need not be equal to the geographical extent of the study area. Although this apparent paradox has already been noted in previous papers, as far as we know,an analytical formulation of the influence of fuzzy classifications on the areal extent of thematic map classes has never been provided. This Letter offers an analytical solution to evaluate the total areal extent of thematic map classes as a function of fuzzy class membership levels. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Remote Sensing is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 3844779 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The influence of fuzzy set theory on the areal extent of thematic map classes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ricotta%2C+C%2E%22">Ricotta, C.</searchLink><br /><searchLink fieldCode="AR" term="%22Avena%2C+G%2E+C%2E%22">Avena, G. C.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Remote+Sensing%22">International Journal of Remote Sensing</searchLink>. 01/10/99, Vol. 20 Issue 1, p201-205. 5p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Thematic+maps%22">Thematic maps</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In thematic maps information is traditionally represented in a onepolygon-one class method which assumes each polygon in the map can be assigned unambiguously to a single class. Additionally, thematic map classes are assumed to be exhaustive and mutually exclusive. The introduction of fuzzy classifications overcomes the traditional limitations on the mutually exclusive nature of map classes assigning varying levels of class membership for individual map polygons. As a consequence, fuzzy set theory expands the conventional assumptions regarding the total areal extent of thematic map classes. Considering that a map polygon may simultaneously belong to more than one thematic map class, the total areal extent of all classes in a thematic map need not be equal to the geographical extent of the study area. Although this apparent paradox has already been noted in previous papers, as far as we know,an analytical formulation of the influence of fuzzy classifications on the areal extent of thematic map classes has never been provided. This Letter offers an analytical solution to evaluate the total areal extent of thematic map classes as a function of fuzzy class membership levels. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Remote Sensing is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/014311699213712 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 5 StartPage: 201 Subjects: – SubjectFull: Thematic maps Type: general – SubjectFull: Fuzzy sets Type: general Titles: – TitleFull: The influence of fuzzy set theory on the areal extent of thematic map classes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ricotta, C. – PersonEntity: Name: NameFull: Avena, G. C. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 01 Text: 01/10/99 Type: published Y: 1999 Identifiers: – Type: issn-print Value: 01431161 Numbering: – Type: volume Value: 20 – Type: issue Value: 1 Titles: – TitleFull: International Journal of Remote Sensing Type: main |
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