Classical fuzzy mathematical morphology is one of the extensions of original binary morphology to greyscale morphology. Recently, this theory was further extended to interval-valued fuzzy mathematical morphology by allowing uncertainty in the grey values of the image and the structuring element. In this paper, we investigate the construction of increasing interval-valued fuzzy operators from th...

The various chapters of this handbook have painted a fairly complete picture of what morphology is, what constructs are needed in the morphological component of a grammar, and how these constructs interact with one another and with other parts of the grammar. For the most part, the perspective taken on these questions has been purely synchronic, yet, as with all aspects of language (and indeed ...

1.1 Introduction Mathematical morphology is a discipline of image analysis that was introduced in the mid-1960s by two researchers at thé Ecole des Mines in Paris: Georges Matheron [1] and Jean Serra [2, 3]. Historically, it was the first consistent non-linear image analysis theory, which from the very start included not only theoretical results but also many practical aspects. Due to the algeb...

Using an in situ combination of tensile tests and x-ray diffraction, we have determined the mechanical properties of both the crystalline and the disordered phase of the biological nanocomposite silk by adapting a model from linear viscoelastic theory to the semicrystalline morphology of silk. We observe a strong interplay between morphology and mechanical properties. Silk's high extensibility ...

Using effective medium theory the authors demonstrate that the thermal conductivity of nanofluids can be significantly enhanced by the aggregation of nanoparticles into clusters. Predictions of the effective medium theory are in excellent agreement with detailed numerical calculation on model nanofluids involving fractal clusters and show the importance of cluster morphology on thermal conducti...

Grammatical Framework is a grammar formalism based on type theory and implemented in Haskell, that utilizes the interlingua approach to multilingual translation. Multilingualism is achieved by defining resource grammar libraries for each individual language within the framework. Here, we present the definition of the inflectional morphology grammars for Swahili, as part of the Swahili resource ...

This paper introduces a probabilistic model of morphology based on a word-based morphological theory. Morphology is understood here as a system of rules that describe systematic correspondences between full word forms, without decomposing words into any smaller units. The model is formulated in the Bayesian learning framework and can be trained in both supervised and unsupervised setting. Evalu...