✦ LIBER ✦

A class of fuzzy measures generated from a Dempster–Shafer belief structure

✍ Scribed by Ronald R. Yager

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 87 KB
Volume: 14
Category: Article
ISSN: 0884-8173
DOI: 10.1002/(sici)1098-111x(199912)14:12<1239::aid-int5>3.0.co;2-g

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✦ Synopsis

Here the Dempster᎐Shafer belief structure is viewed as providing partial information about the underlying fuzzy measure associated with a uncertain variable. In this perspective there exists many possible fuzzy measures that can be associated with a Demp-ster᎐Shafer belief structure. Typically only two of these measures have been made explicit, those being the measure of belief and plausibility. Here we introduce a whole class of fuzzy measures that can be associated with a Dempster᎐Shafer belief structure. As an aid to choosing between these myriad of possibilities we discuss the entropy of a fuzzy measure.