Audiovisual information is integrated in speech perception. One manifestation of this is the McGurk illusion in which watching the articulating face alters the auditory phonetic percept. Understanding this phenomenon fully requires a computational model with predictive power. Here, we describe an ordinal model, in which the response categories are ordered cyclically, that can account for the Mc...

Within the AGM paradigm revision and contraction operators are constrained by a set of rationality postulates. The logical properties of a set of knowledge are not strong enough to uniquely determine a revision or contraction operation, therefore constructions for these operators rely on some form of underlying preference relation, such as a systems of spheres, or an epistemic entrenchment orde...

In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary and sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of importation with a t-norm $T$. Some relationships between the orders induced by an ordinal sum implication and its summands are determined. The algebraic structures obtained fr...

Neuroimaging data are increasingly being used to predict potential outcomes or groupings, such as clinical severity, drug dose response, and transitional illness states. In these examples, the variable (target) we want to predict is ordinal in nature. Conventional classification schemes assume that the targets are nominal and hence ignore their ranked nature, whereas parametric and/or non-param...