A Similarity-Based Generalization of Fuzzy Orderings Preserving the Classical Axioms

@article{Bodenhofer2000ASG,
  title={A Similarity-Based Generalization of Fuzzy Orderings Preserving the Classical Axioms},
  author={Ulrich Bodenhofer},
  journal={International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems},
  year={2000},
  volume={8},
  pages={593-610}
}
Equivalence relations and orderings are key concepts of mathematics. For both types of relations, formulations within the framework of fuzzy relations have been proposed already in the early days of fuzzy set theory. While similarity (indistinguishability) relations have turned out to be very useful tools, e.g. for the interpretation of fuzzy partitions and fuzzy controllers, the utilization of fuzzy orderings is still lagging far behind, although there are a lot of possible applications, for… CONTINUE READING