Nonnumeric belief structures

The nonnumeric belief, a counterpart of the belief function, is defined as the lower envelope of a family of incidence mappings (i.e., the nonnumeric counterpart of probability functions). Likewise, the nonnumeric conditional belief is defined as the lower envelope of a family of conditional inciden...

Full description

Saved in:
Bibliographic Details
Main Authors: Wong, S.K.M., Wang, L.S., Yao, Y.Y.
Format: Conference Proceeding
Language:English
Subjects:
Calculus
Closed-form solution
Computer science
Logic
Uncertainty
Upper bound
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The nonnumeric belief, a counterpart of the belief function, is defined as the lower envelope of a family of incidence mappings (i.e., the nonnumeric counterpart of probability functions). Likewise, the nonnumeric conditional belief is defined as the lower envelope of a family of conditional incidence mappings. Such definitions are consistent with the corresponding definitions for belief functions. There exists a closed-form expression for the proposed conditional nonnumeric beliefs, which is useful in qualitative, nonmonotonic reasoning, and conditional logic.< >
DOI:10.1109/ICCI.1992.227656