On Capacity Functionals in Interval Probabilities-Reference-Cited by-同舟云学术

On Capacity Functionals in Interval Probabilities

Published:1997-06 Issue:03 Volume:05 Page:359-377
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

Nguyen Hung T.¹,Nguyen Nhu T.¹,Wang Tonghui¹

Affiliation:

1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA

Abstract

This paper addresses some basic issues concerning set-functions which are endpoints in interval probabilities. The property of alternating of infinite order of set-functions is investigated in detail. Generalizing a result of Graf (1980), we establish a necessary and sufficient condition for the existence of the Radon-Nikodym derivatives for a larger class of set functions, called submeasures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488597000269

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