A representation of t-norms in interval-valued L-fuzzy set theory
Fuzzy Sets and Systems
Gradual trust and distrust in recommender systems
Fuzzy Sets and Systems
On the notions of residuated-based coherence and bilattice-based consistence
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
Preference modeling by rectangular bilattices
MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
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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