Title
Qualitative conditioning in an interval-based possibilistic setting.
Abstract
Possibility theory and possibilistic logic are well-known uncertainty frameworks particularly suited for representing and reasoning with uncertain, partial and qualitative information. Belief update plays a crucial role when updating beliefs and uncertain pieces of information in the light of new evidence. This paper deals with conditioning uncertain information in a qualitative interval-valued possibilistic setting. The first important contribution concerns a set of three natural postulates for conditioning interval-based possibility distributions. We show that any interval-based conditioning satisfying these three postulates is necessarily based on the set of compatible standard possibility distributions. The second contribution consists in a proposal of efficient procedures to compute the lower and upper endpoints of the conditional interval-based possibility distribution while the third important contribution provides a syntactic counterpart of conditioning interval-based possibility distributions in case where these latter are compactly encoded in the form of possibilistic knowledge bases.
Year
DOI
Venue
2018
10.1016/j.fss.2017.12.007
Fuzzy Sets and Systems
Keywords
Field
DocType
Interval-based possibilistic logic,Conditioning,Possibility theory
Conditioning,Theoretical computer science,Possibility theory,Artificial intelligence,Possibilistic logic,Possibility distribution,Syntax,Machine learning,Mathematics
Journal
Volume
ISSN
Citations 
343
0165-0114
1
PageRank 
References 
Authors
0.36
17
4
Name
Order
Citations
PageRank
Salem Benferhat12585216.23
Vladik Kreinovich21091281.07
Amélie Levray383.56
Karim Tabia410725.11