Fuzzy Information Relations and Operators: An Algebraic Approach Based on Residuated Lattices

@inproceedings{Radzikowska2006FuzzyIR,
  title={Fuzzy Information Relations and Operators: An Algebraic Approach Based on Residuated Lattices},
  author={Anna Maria Radzikowska and Etienne E. Kerre},
  booktitle={Theory and Applications of Relational Structures as Knowledge Instruments},
  year={2006}
}
We discuss fuzzy generalisations of information relations taking two classes of residuated lattices as basic algebraic structures. More precisely, we consider commutative and integral residuated lattices and extended residuated lattices defined by enriching the signature of residuated lattices by an antitone involution corresponding to the De Morgan negation. We show that some inadequacies in representation occur when residuated lattices are taken as a basis. These inadequacies, in turn, are… CONTINUE READING

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