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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ISPRS-Archives</journal-id>
<journal-title-group>
<journal-title>The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">ISPRS-Archives</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2194-9034</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/isprsarchives-XL-8-213-2014</article-id>
<title-group>
<article-title>Mathematical Modeling of spatial disease variables by Spatial Fuzzy Logic for Spatial Decision Support Systems</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Platz</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rapp</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Groessler</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Niehaus</surname>
<given-names>E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Babu</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Soman</surname>
<given-names>B.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>University of Koblenz-Landau. Institute of Mathematics, Fortstr. 7, 76829 Landau, Germany</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Center for Advancement of Global Health, Kochi, India &amp; Saint Louis University, St. Louis, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Sree Chitra Tirunal Institute for Medical Sciences, Thiruvananthapuram, Kerala, India</addr-line>
</aff>
<pub-date pub-type="epub">
<day>27</day>
<month>11</month>
<year>2014</year>
</pub-date>
<volume>XL-8</volume>
<fpage>213</fpage>
<lpage>220</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2014 M. Platz et al.</copyright-statement>
<copyright-year>2014</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
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<self-uri xlink:href="https://isprs-archives.copernicus.org/articles/XL-8/213/2014/isprs-archives-XL-8-213-2014.pdf">The full text article is available as a PDF file from https://isprs-archives.copernicus.org/articles/XL-8/213/2014/isprs-archives-XL-8-213-2014.pdf</self-uri>
<abstract>
<p>A Spatial Decision Support System (SDSS) provides support for decision makers and should not be viewed as replacing human intelligence
with machines. Therefore it is reasonable that decision makers are able to use a feature to analyze the provided spatial decision
support in detail to crosscheck the digital support of the SDSS with their own expertise. Spatial decision support is based on risk and
resource maps in a Geographic Information System (GIS) with relevant layers e.g. environmental, health and socio-economic data.
Spatial fuzzy logic allows the representation of spatial properties with a value of truth in the range between 0 and 1. Decision makers
can refer to the visualization of the spatial truth of single risk variables of a disease. Spatial fuzzy logic rules that support the allocation
of limited resources according to risk can be evaluated with measure theory on topological spaces, which allows to visualize the applicability
of this rules as well in a map. Our paper is based on the concept of a spatial fuzzy logic on topological spaces that contributes
to the development of an adaptive Early Warning And Response System (EWARS) providing decision support for the current or future
spatial distribution of a disease. It supports the decision maker in testing interventions based on available resources and apply risk
mitigation strategies and provide guidance tailored to the geo-location of the user via mobile devices. The software component of the
system would be based on open source software and the software developed during this project will also be in the open source domain,
so that an open community can build on the results and tailor further work to regional or international requirements and constraints. A
freely available &lt;i&gt;EWARS Spatial Fuzzy Logic Demo&lt;/i&gt; was developed wich enables a user to visualize risk and resource maps based on
individual data in several data formats.</p>
</abstract>
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