Fuzzy Sets and Systems
On the manipulability of the fuzzy social choice functions
Fuzzy Sets and Systems
Consistent models of transitivity for reciprocal preferences on a finite ordinal scale
Information Sciences: an International Journal
On the compositional characterization of complete fuzzy pre-orders
Fuzzy Sets and Systems
Kendall distribution functions and associative copulas
Fuzzy Sets and Systems
On the transitivity of a parametric family of cardinality-based similarity measures
International Journal of Approximate Reasoning
Flipping and cyclic shifting of binary aggregation functions
Fuzzy Sets and Systems
The dominance relation in some families of continuous Archimedean t-norms and copulas
Fuzzy Sets and Systems
Modeling rationality in a linguistic framework
Fuzzy Sets and Systems
Computing with words in decision making: foundations, trends and prospects
Fuzzy Optimization and Decision Making
On lattice valued up-sets and down-sets
Fuzzy Sets and Systems
General results on the decomposition of transitive fuzzy relations
Fuzzy Optimization and Decision Making
Quasi-copulas and signed measures
Fuzzy Sets and Systems
On the cycle-transitivity of the mutual rank probability relation of a poset
Fuzzy Sets and Systems
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Fuzzy Sets and Systems
Bivariate quasi-copulas and doubly stochastic signed measures
Fuzzy Sets and Systems
Dominance in the family of Sugeno--Weber t-norms
Fuzzy Sets and Systems
Information Sciences: an International Journal
Binary survival aggregation functions
Fuzzy Sets and Systems
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
A study on the transitivity of probabilistic and fuzzy relations
Fuzzy Sets and Systems
On some properties of the negative transitivity obtained from transitivity
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
Collective transitivity in majorities based on difference in support
Fuzzy Sets and Systems
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Transitivity plays a crucial role in preference modeling and related fields. In this paper, we discuss this property in the general context of additive fuzzy preference structures. Of particular interest is the decomposition of a large preference relation R in its symmetric part I (indifference relation) and its asymmetric part P (strict preference relation) by means of a so-called (indifference) generator i. Given the type of transitivity of a large preference relation R (w.r.t. a conjunctor) and a generator, we establish basic lower bounds and general upper bounds on the transitivity of P and I. These bounds are due to the careful design of generic counterexamples. Moreover, we identify the situations in which these bounds are effectively reached, thereby establishing connections with interesting properties such as dominance, bisymmetry, the 1-Lipschitz property and rotation invariance