<rdf:RDF xmlns:rdf="http://www.openarchives.org/OAI/2.0/rdf/" xmlns:ow="http://www.ontoweb.org/ontology/1#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:ds="http://dspace.org/ds/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd">
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      <dc:title>On the notion of fuzzy dispersion measure and its application to triangular fuzzy numbers</dc:title>
      <dc:creator>Roldán López de Hierro, Antonio Francisco</dc:creator>
      <dc:creator>Rueda García, María Del Mar</dc:creator>
      <dc:creator>Roldán López Del Hierro, Concepción Beatriz</dc:creator>
      <dc:subject>Dispersion measure</dc:subject>
      <dc:subject>Fuzzy set</dc:subject>
      <dc:subject>Fuzzy number</dc:subject>
      <dc:subject>Variance</dc:subject>
      <dc:subject>Decision making</dc:subject>
      <dc:description>The authors are grateful to their universities. This paper has been supported by FEDER/Junta de Andalucia-Consejeria de Transformacion Economica, Industria, Conocimiento y Universidades by Project A-FQM-170-UGR20, and also by Ministerio de Ciencia e Innovacion by Projects PID2020-119478GB-I00 and PID2019-108392GB-I00 (AEI/10.13039/501100011033).</dc:description>
      <dc:description>In this paper, based on the analysis of the most widely used dispersion measure in the real context (namely, the variance), we introduce the notion of fuzzy dispersion measure associated to a finite set of data given by fuzzy numbers. This measure is implemented as a fuzzy number, so there is no loss of information caused by any defuzzification. The proposed concept satisfies the usual properties in a genuinely fuzzy sense and it avoids limitations in terms of its geometric shape or its analytical properties: under this conception, it could have a piece of its support in the negative part of the real line. This novel notion can be interpreted as a way of fusing the information included in a fuzzy data set in order to make a decision based on its dispersion. To illustrate the main characteristics of this approach, we present an example of a fuzzy dispersion measure that allows to conclude that this new way to deal this problem is coherent, at least, from the point of view of human intuition.</dc:description>
      <dc:date>2023-09-15T08:35:10Z</dc:date>
      <dc:date>2023-09-15T08:35:10Z</dc:date>
      <dc:date>2023-12</dc:date>
      <dc:type>journal article</dc:type>
      <dc:identifier>A.F. Roldán López de Hierro et al. On the notion of fuzzy dispersion measure and its application to triangular fuzzy numbers. Information Fusion 100 (2023) 101905. [https://doi.org/10.1016/j.inffus.2023.101905]</dc:identifier>
      <dc:identifier>https://hdl.handle.net/10481/84441</dc:identifier>
      <dc:identifier>10.1016/j.inffus.2023.101905</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>http://creativecommons.org/licenses/by-nc-nd/4.0/</dc:rights>
      <dc:rights>open access</dc:rights>
      <dc:rights>Attribution-NonCommercial-NoDerivatives 4.0 Internacional</dc:rights>
      <dc:publisher>Elsevier</dc:publisher>
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