Title :
The class of nearest belief functions to a given probability measure
Author_Institution :
Dept. of Higher Math., Southern Fed. Univ., Rostov
Abstract :
The paper is devoted to the solution of two problems. The first one consists of finding a probability measure which deviates at root-mean-square from a given belief function. The other problem is the inverse one, that is for a given probability measure it is necessary to find a class of belief functions which deviate at root-mean-square from a given probability measure. We find a description of the class of nearest belief functions in the form of system inequalities and indicate a subset of extreme points of this class.
Keywords :
probability; set theory; nearest belief function; probability measure; root-mean-square; set theory; Gain measurement; Game theory; Mathematics; Paper technology; Probability distribution; Testing;
Conference_Titel :
Fuzzy Information Processing Society, 2008. NAFIPS 2008. Annual Meeting of the North American
Conference_Location :
New York City, NY
Print_ISBN :
978-1-4244-2351-4
Electronic_ISBN :
978-1-4244-2352-1
DOI :
10.1109/NAFIPS.2008.4531317
