Determining equivalent values for possibilistic variables

Authors
Citation
Rr. Yager, Determining equivalent values for possibilistic variables, IEEE SYST B, 31(1), 2001, pp. 19-31
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
ISSN journal
10834419 → ACNP
Volume
31
Issue
1
Year of publication
2001
Pages
19 - 31
Database
ISI
SICI code
1083-4419(200102)31:1<19:DEVFPV>2.0.ZU;2-6
Abstract
We discuss the nature of possibilistic uncertainty. Two approaches to the d etermination of the equivalent value for a possibilistically uncertain vari able are introduced. These approaches are then generalized to yield a param eterized class of functions for obtaining the equivalent value of a possibi listic variable. A novel aspect of this class is that it is parameterized b y a weak ordering, A discussion to try to understand the semantics of this parameterizing ordering is included. A method is suggested for obtaining th e weak ordering directly from a scalar value. We briefly look at the issue of variance in possibilistic uncertainty.