Fuzzy cardinals based on the generalized equality of fuzzy subsets
Fuzzy Sets and Systems
A comparative assessment of measures of similarity of fuzzy values
Fuzzy Sets and Systems
A comparative study of similarity measures
Fuzzy Sets and Systems
Cardinality, quantifiers, and the aggregation of fuzzy criteria
Fuzzy Sets and Systems - Special issue on fuzzy information processing
Towards general measures of comparison of objects
Fuzzy Sets and Systems - Special issue dedicated to the memory of Professor Arnold Kaufmann
A characterization of quasi-copulas
Journal of Multivariate Analysis
Generalized fuzzy indices for similarity matching
Fuzzy Sets and Systems - Special issue on clustering and learning
Bell-type inequalities in fuzzy probability calculus
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
A class of rational cardinality-based similarity measures
Journal of Computational and Applied Mathematics
On the existence and construction of T-transitive closures
Information Sciences: an International Journal
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Additive decomposition of fuzzy pre-orders
Fuzzy Sets and Systems
Meta-theorems on inequalities for scalar fuzzy set cardinalities
Fuzzy Sets and Systems
Transitivity frameworks for reciprocal relations: cycle-transitivity versus FG-transitivity
Fuzzy Sets and Systems
Transitivity Bounds in Additive Fuzzy Preference Structures
IEEE Transactions on Fuzzy Systems
On the cycle-transitive comparison of artificially coupled random variables
International Journal of Approximate Reasoning
On the compositional characterization of complete fuzzy pre-orders
Fuzzy Sets and Systems
Fuzzy inclusion and similarity through coherent conditional probability
Fuzzy Sets and Systems
Flipping and cyclic shifting of binary aggregation functions
Fuzzy Sets and Systems
On a reflexivity-preserving family of cardinality-based fuzzy comparison measures
Information Sciences: an International Journal
Quasi-copulas and signed measures
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
The quest for transitivity, a showcase of fuzzy relational calculus
WCCI'12 Proceedings of the 2012 World Congress conference on Advances in Computational Intelligence
A distance metric for a space of linguistic summaries
Fuzzy Sets and Systems
Similarity and dissimilarity measures between fuzzy sets: A formal relational study
Information Sciences: an International Journal
Block similarity in fuzzy tuples
Fuzzy Sets and Systems
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We introduce a parametric family of cardinality-based similarity measures for ordinary sets (on a finite universe) harbouring numerous well-known similarity measures. We characterize the Lukasiewicz-transitive and product-transitive members of this family. Their importance derives from their one-to-one correspondence with pseudo-metrics. Fuzzification schemes based on a commutative quasi-copula are then used to transform these similarity measures for ordinary sets into similarity measures for fuzzy sets, rendering them applicable on graded feature set representations of objects. The main result of this paper is that transitivity, and hence also the corresponding dual metric interpretation, is preserved along this fuzzification process.