Fuzzy preference structures without incomparability
Fuzzy Sets and Systems
A characterization of quasi-copulas
Journal of Multivariate Analysis
Transitivity of fuzzy preference relations—an empirical study
Fuzzy Sets and Systems
A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
General transitivity conditions for fuzzy reciprocal preference matrices
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
Cycle-transitive comparison of independent random variables
Journal of Multivariate Analysis
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Generalized composition of binary aggregation operators
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
On the transitivity of the comonotonic and countermonotonic comparison of random variables
Journal of Multivariate Analysis
Fuzzy Sets and Systems
A view on conditional measures through local representability of binary relations
International Journal of Approximate Reasoning
On the cycle-transitive comparison of artificially coupled random variables
International Journal of Approximate Reasoning
Fuzzy inclusion and similarity through coherent conditional probability
Fuzzy Sets and Systems
Linguistic multiperson decision making based on the use of multiple preference relations
Fuzzy Sets and Systems
On the transitivity of a parametric family of cardinality-based similarity measures
International Journal of Approximate Reasoning
Modeling rationality in a linguistic framework
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
On the cycle-transitivity of the mutual rank probability relation of a poset
Fuzzy Sets and Systems
A transitivity analysis of bipartite rankings in pairwise multi-class classification
Information Sciences: an International Journal
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
On the ERA ranking representability of pairwise bipartite ranking functions
Artificial Intelligence
Expert Systems with Applications: An International Journal
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
Aggregation of monotone reciprocal relations with application to group decision making
Fuzzy Sets and Systems
A study on the transitivity of probabilistic and fuzzy relations
Fuzzy Sets and Systems
The quest for transitivity, a showcase of fuzzy relational calculus
WCCI'12 Proceedings of the 2012 World Congress conference on Advances in Computational Intelligence
The ordinal consistency of a fuzzy preference relation
Information Sciences: an International Journal
Collective transitivity in majorities based on difference in support
Fuzzy Sets and Systems
On a conjecture about the Frank copula family
Fuzzy Sets and Systems
Hi-index | 0.21 |
For a reciprocal relation Q on a set of alternatives A, two transitivity frameworks which generalize both T-transitivity and stochastic transitivity are compared: the framework of cycle-transitivity, introduced by the present authors (Soc. Choice Welf., to appear) and which is based upon the ordering of the numbers Q(a,b), Q(b,c) and Q(c,a) for all (a,b,c)@?A^3, and the framework of FG-transitivity, introduced by Switalski (Fuzzy Sets and Systems 137 (2003) 85) as an immediate generalization of stochastic transitivity. The rules that enable to express FG-transitivity in the form of cycle-transitivity and cycle-transitivity in the form of FG-transitivity, illustrate that for reciprocal relations the concept of cycle-transitivity provides a framework that can cover more types of transitivity than does the concept of FG-transitivity.