Rough sets have been applied in spatial information theory to construct theories of granularity – presenting information at different levels of detail. Mathematical morphology can also be seen as a framework for granularity, and the question of how rough sets relate to mathematical morphology has been raised by Bloch. This paper shows how by developing mathematical morphology in terms of relati...

Ergative case, the special case of transitive subjects, raises questions not only for the theory of case but also for theories of subjecthood and transitivity. This paper analyzes the case system of Nez Perce, a ”three-way ergative” language, with an eye towards a formalization of the category of transitive subject. I show that it is object agreement that is determinative of transitivity, and h...

Skou, a language of the central north coast of New Guinea, presents a rare example of multiple exponence of features in the agreement paradigms for subject. While this is a challenge for theories of morphology, because each morphological realization presents exactly the same featural information in Skou, there is a simple historical explanation for the modern complexities, involving cycles of c...

While classical approaches to unsupervised morphology acquisition often rely on metrics based on information theory for identifying morphemes, we describe a novel approach relying on the notion of formal analogy. A formal analogy is a relation between four forms, such as: reader is to doer as reading is to doing. Our assumption is that formal analogies identify pairs of morphologically related ...

The aim of this paper is to introduce a new approach to Mathematical Morphology based on neutrosophic set theory. Basic definitions for neutrosophic morphological operations are extracted and a study of its algebraic properties is presented. In our work we demonstrate that neutrosophic morphological operations inherit properties and restrictions of Fuzzy Mathematical Morphology.

This paper describes the central role played by default inheritance in Word Grammar, a theory of language knowledge and processing. A single formalism is used to represent knowledge at the levels of morphology, syntax, and semantics. A single rule of inference is used to inherit knowledge at all of these levels. This rule is distinctive in that it requires defaults to be explicitly overridden i...