<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:wfw="http://wellformedweb.org/CommentAPI/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
	xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
	>

<channel>
	<title>Dr. Rachel Yager &#187; Fuzzy Math</title>
	<atom:link href="http://rachelyager.com/tag/fuzzy-math/feed/" rel="self" type="application/rss+xml" />
	<link>http://rachelyager.com</link>
	<description>Future Technologies and Intelligent Systems</description>
	<lastBuildDate>Sun, 03 Jan 2010 23:39:12 +0000</lastBuildDate>
	<generator>http://wordpress.org/?v=2.8.6</generator>
	<language>en</language>
	<sy:updatePeriod>hourly</sy:updatePeriod>
	<sy:updateFrequency>1</sy:updateFrequency>
			<item>
		<title>Research on the Dempster-Shafer Theory of Belief Functions</title>
		<link>http://rachelyager.com/2008/03/12/research-on-the-dempster-shafer-theory-of-belief-functions/</link>
		<comments>http://rachelyager.com/2008/03/12/research-on-the-dempster-shafer-theory-of-belief-functions/#comments</comments>
		<pubDate>Wed, 12 Mar 2008 23:50:36 +0000</pubDate>
		<dc:creator>Rachel Yager</dc:creator>
				<category><![CDATA[Research]]></category>
		<category><![CDATA[Computational Intelligence]]></category>
		<category><![CDATA[Fuzzy Math]]></category>

		<guid isPermaLink="false">http://rachelyager.com/books/research-on-the-dempster-shafer-theory-of-belief-functions/</guid>
		<description><![CDATA[NEW BOOK! Classic Works of the Dempster-Shafer Theory of Belief Functions (Studies in Fuzziness and Soft Computing):
This book brings together a collection of classic research papers on the Dempster-Shafer theory of belief functions. This book will serve as the authoritative reference in the field of evidential reasoning and an important archival reference in a wide [...]]]></description>
			<content:encoded><![CDATA[<!-- sphereit start --><p><strong>NEW BOOK! Classic Works of the Dempster-Shafer Theory of Belief Functions (Studies in Fuzziness and Soft Computing):</strong></p>
<blockquote><p>This book brings together a collection of classic research papers on the Dempster-Shafer theory of belief functions. This book will serve as the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The carefully selected contributions are grouped into seven sections, including conceptual foundations, theoretical perspectives, theoretical extensions, alternative interpretations, and applications to artificial intelligence, decision-making, and statistical inferences. The book also includes a foreword by Dempster and Shafer reflecting the development of the theory in the last forty years, and an introduction describing the basic elements of the theory and how each paper contributes to the field.</p></blockquote>
<p><a href="http://www.amazon.com/gp/product/3540253815?ie=UTF8&amp;tag=computandbu07-20&amp;linkCode=as2&amp;camp=1789&amp;creative=9325&amp;creativeASIN=3540253815"><img border="0" src="http://rachelyager.com/blog/wp-content/uploads/2008/03/11c6lw9ntul__aa_sl160_.jpg" /></a><img border="0" width="1" src="http://www.assoc-amazon.com/e/ir?t=computandbu07-20&amp;l=as2&amp;o=1&amp;a=3540253815" height="1" style="margin: 0px; border: medium none" /></p>
<!-- sphereit end --><span style="margin-bottom:40px; border-bottom:none;"><a class="iconsphere" title="Sphere: Related Content" onclick="return Sphere.Widget.search('http://rachelyager.com/2008/03/12/research-on-the-dempster-shafer-theory-of-belief-functions/')" href="http://www.sphere.com/search?q=sphereit:http://rachelyager.com/2008/03/12/research-on-the-dempster-shafer-theory-of-belief-functions/">Sphere: Related Content</a></span><br/><br/>]]></content:encoded>
			<wfw:commentRss>http://rachelyager.com/2008/03/12/research-on-the-dempster-shafer-theory-of-belief-functions/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Aggregation Operator</title>
		<link>http://rachelyager.com/2008/03/07/aggregation-operators/</link>
		<comments>http://rachelyager.com/2008/03/07/aggregation-operators/#comments</comments>
		<pubDate>Fri, 07 Mar 2008 19:59:49 +0000</pubDate>
		<dc:creator>Rachel Yager</dc:creator>
				<category><![CDATA[Computational Intelligence]]></category>
		<category><![CDATA[Fuzzy Math]]></category>

		<guid isPermaLink="false">http://rachelyager.com/math/aggregation-operators/</guid>
		<description><![CDATA[Ordered Weighted Averaging Operator &#8212; OWA &#8211; is explained on  Wikipedia :
 operator of dimension  is a mapping  that has an associated collection of weights  lying in the unit interval and summing to one and with
       where bj is the jth largest of the aj
Sphere: Related Content]]></description>
			<content:encoded><![CDATA[<!-- sphereit start --><p>Ordered Weighted Averaging Operator &#8212; <a href="http://en.wikipedia.org/wiki/Ordered_Weighted_Averaging_%28OWA%29_Aggregation_Operators" title="OWA">OWA </a>&#8211; is explained on  <a href="http://en.wikipedia.org/wiki/Ordered_Weighted_Averaging_%28OWA%29_Aggregation_Operators" title="Wikipedia">Wikipedia </a>:</p>
<p><strong><img src="http://upload.wikimedia.org/math/1/6/1/1612dd1bd3bec2235b99440423f82024.png" alt=" \ OWA " class="tex" /></strong> operator of dimension <img src="http://upload.wikimedia.org/math/9/5/a/95ae10911ccd94b57da5535ac94fec03.png" alt=" \ n " class="tex" /> is a mapping <img src="http://upload.wikimedia.org/math/c/a/8/ca87b1523124303f20f876f8264b586e.png" alt=" F: R_n \rightarrow R " class="tex" /> that has an associated collection of weights <img src="http://upload.wikimedia.org/math/f/4/5/f450db41a0508305e666fd713a701643.png" alt=" \  W = [w_1, ..., w_n] " class="tex" /> lying in the unit interval and summing to one and with</p>
<pre>    <img src="http://upload.wikimedia.org/math/d/0/c/d0c7a5f27a311ca5fc139354ff7b4a78.png" alt=" F(a_1, ..., a_n) =  \sum_{j=1}^n  w_j b_j" class="tex" />   where <span class="texhtml"><em>b</em><sub><em>j</em></sub></span> is the j<sup>th</sup> largest of the <span class="texhtml"><em>a</em><sub><em>j</em></sub></span></pre>
<!-- sphereit end --><span style="margin-bottom:40px; border-bottom:none;"><a class="iconsphere" title="Sphere: Related Content" onclick="return Sphere.Widget.search('http://rachelyager.com/2008/03/07/aggregation-operators/')" href="http://www.sphere.com/search?q=sphereit:http://rachelyager.com/2008/03/07/aggregation-operators/">Sphere: Related Content</a></span><br/><br/>]]></content:encoded>
			<wfw:commentRss>http://rachelyager.com/2008/03/07/aggregation-operators/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
	</channel>
</rss>
