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A class of fuzzy measures generated from a Dempster–Shafer belief structure
Author(s) -
Yager Ronald R.
Publication year - 1999
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/(sici)1098-111x(199912)14:12<1239::aid-int5>3.0.co;2-g
Subject(s) - dempster–shafer theory , belief structure , fuzzy measure theory , fuzzy logic , artificial intelligence , measure (data warehouse) , class (philosophy) , entropy (arrow of time) , mathematics , computer science , fuzzy set , fuzzy classification , machine learning , data mining , physics , quantum mechanics
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 Dempster–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. ©1999 John Wiley & Sons, Inc.