Paper Info
Title
A Fuzzy Take on Graded Beliefs.
Abstract
Graded beliefs increase the expressiveness of any model representing beliefs, by allowing the introduction of modulation: it is then possible to model different levels of belief. The increased expressiveness raises issues regarding the interpretation of these levels as well as their combination. This paper addresses this issue proposing a fuzzy interpretation of graded beliefs, viewed as a fuzzy subset of the universe of well formed formulae, considering belief degrees as membership degrees to a belief set. It studies the consequences of this interpretation, for the definition of graded belief manipulation rules and of graded variants of the doxastic axioms KD45, leading to the proposition of conjunction, disjunction, negation, implication and introspection rules for graded beliefs.
Year
DOI
Venue
2017
10.1007/978-3-319-66824-6_35
ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 2
Keywords
Field
DocType
Belief reasoning,Doxastic logic,Fuzzy set theory
Introspection,Discrete mathematics,Proposition,Negation,Axiom,Fuzzy logic,Belief structure,Cognitive psychology,Fuzzy set,Mathematics,Doxastic logic
Conference
Volume
ISSN
Citations 
642
2194-5357
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Bénédicte Legastelois100.34
Marie-Jeanne Lesot222032.41
Adrien Revault3124.72