Uncertainty Modeling by Bilattice-Based Squares and Triangles

In this paper, Ginsberg's/Fitting's theory of bilattices, and in particular the associated constructs of bilattice-based squares and triangles, is introduced as an attractive framework for the representation of uncertain and potentially conflicting information, paralleling Goguen's L-...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2007-04, Vol.15 (2), p.161-175
Main Authors: Cornelis, C., Arieli, O., Deschrijver, G., Kerre, E.E.
Format: Article
Language:English
Subjects:
Artificial intelligence
bilattice-based squares and triangles
Bilattices
Computational linguistics
Computer science
Construction
Fuzzy set theory
Fuzzy sets
Fuzzy systems
implicators
Logic functions
Materials handling
Mathematical model
Mathematics
MV-algebras
negators
Recall
Representations
Set theory
t-norms and t-conorms
Triangles
Uncertainty
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Summary:In this paper, Ginsberg's/Fitting's theory of bilattices, and in particular the associated constructs of bilattice-based squares and triangles, is introduced as an attractive framework for the representation of uncertain and potentially conflicting information, paralleling Goguen's L-fuzzy set theory. We recall some of the advantages of bilattice-based frameworks for handling fuzzy sets and systems, provide the related structures with adequately defined graded versions of the basic logical connectives, and study their properties and relationships
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2006.881444