Proportional transitivity in linear extensions of ordered sets
Journal of Combinatorial Theory Series B
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)
Exploiting the Lattice of Ideals Representation of a Poset
Fundamenta Informaticae
On the transitivity of the comonotonic and countermonotonic comparison of random variables
Journal of Multivariate Analysis
Optimal strategies for equal-sum dice games
Discrete Applied Mathematics
On the cycle-transitive comparison of artificially coupled random variables
International Journal of Approximate Reasoning
IEEE Transactions on Fuzzy Systems
Transitivity frameworks for reciprocal relations: cycle-transitivity versus FG-transitivity
Fuzzy Sets and Systems
Counting linear extension majority cycles in partially ordered sets on up to 13 elements
Computers & Mathematics with Applications
A transitivity analysis of bipartite rankings in pairwise multi-class classification
Information Sciences: an International Journal
Transitivity Bounds in Additive Fuzzy Preference Structures
IEEE Transactions on Fuzzy Systems
Counting linear extension majority cycles in partially ordered sets on up to 13 elements
Computers & Mathematics with Applications
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
The quest for transitivity, a showcase of fuzzy relational calculus
WCCI'12 Proceedings of the 2012 World Congress conference on Advances in Computational Intelligence
Collective transitivity in majorities based on difference in support
Fuzzy Sets and Systems
Hi-index | 0.21 |
The mutual rank probability relation associated with a finite poset is a reciprocal relation expressing the probability that a given element succeeds another one in a random linear extension of that poset. We contribute to the characterization of the transitivity of this mutual rank probability relation, also known as proportional probabilistic transitivity, by situating it between strong stochastic transitivity and moderate product transitivity. The methodology used draws upon the cycle-transitivity framework, which is tailor-made for describing the transitivity of reciprocal relations.