Uncertainty Modeling by Bilattice-Based Squares and Triangles

Author

Cornelis, Chris ; Arieli, Ofer ; Deschrijver, Glad ; Kerre, Etienne E.

Author_Institution

Dept. of Appl. Math. & Comput. Sci., Ghent Univ.

Volume

15

Issue

2

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

161

Lastpage

175

Abstract

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

Keywords

algebra; fuzzy set theory; uncertainty handling; Ginsberg-Fitting theory; Goguen L-fuzzy set theory; basic logical connectives; bilattice-based squares; bilattice-based triangles; fuzzy systems; uncertainty modeling; Artificial intelligence; Computational linguistics; Computer science; Fuzzy set theory; Fuzzy sets; Logic functions; Mathematical model; Mathematics; Set theory; Uncertainty; Bilattices; MV-algebras; bilattice-based squares and triangles; implicators; negators; t-norms and t-conorms;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2006.881444

Filename

4142748