Bilattice-Based squares and triangles

Authors:
Ofer Arieli;Chris Cornelis;Glad Deschrijver;Etienne Kerre
Affiliations:
Department of Computer Science, The Academic College of Tel-Aviv, Israel;Fuzziness and Uncertainty Modelling Research Unit, Department of Mathematics and Computer Science, Ghent University, Belgium;Fuzziness and Uncertainty Modelling Research Unit, Department of Mathematics and Computer Science, Ghent University, Belgium;Fuzziness and Uncertainty Modelling Research Unit, Department of Mathematics and Computer Science, Ghent University, Belgium
Venue:
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2005

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Abstract

In this paper, Ginsberg's/Fitting's theory of bilattices is invoked as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs), serving on one hand to clarify the exact nature of the relationship between these two common extensions of fuzzy sets, and on the other hand providing a general and intuitively attractive framework for the representation of uncertain and potentially conflicting information.