The effective application of a Decision Tree (DT) process is beset with many difficult and technical decisions about the choice of algorithms, parameters, evaluation, etc. Therefore, we propose assistance by using ontologies for addressing the above-mentioned challenges that face the non-specialist DT miner (person). Ontologies have been used in various research areas such as computer science, including data mining tools. In this paper, we propose the realisation of a domain ontology for DT OntoDTA to empower the non-specialist DT miner throughout the key phases of the DT process. OntoDTA ontology contains the knowledge of DT and provides a common terminology that can be shared and processed by DT miners.

In this article, we study the boundary value problem Àdiv(jruj p(x)À2 ru) þ juj (x)À2 u ¼ juj q(x)À2 u, in , u ¼ 0 on @, where is a smooth bounded domain in R N and p, q, are continuous functions on . We show that for any 40 there exists infinitely many weak solutions (respectively, if 40 and small enough, then there exists a non-negative, non-trivial weak solution). Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined with a Z 2 symmetric version for even functionals of the Mountain pass Theorem (respectively on simple variational arguments based on Ekeland's variational principle).

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In the medical field, ontologies are mainly used to standardise the coding of knowledge, either during the drafting phase of documents or during subsequent processing intended to give them a format which makes them usable for automatic processing. In this sense, they have a normative role analogous to the classical medical terminologies (in particular thesauri): to set up a common vocabulary and to make use of shared representations and concepts, in order to allow the interoperability of documents and medicals information systems. Medical and biomedical data play a very important role in the medical field. They solve many of the problems encountered during the diagnosis of diseases and in the prescription medical treatments. The objective of this paper is to develop ontology for the field of medical analyses in an attempt to facilitate the tasks of the various actors in the medical field, namely: doctors, laboratory assistants and patients. It also endeavours to improve the care of patients and facilitate the various acts of health professionals, the purpose of which is to aid in decision-making in the treatment of a disease. To this end, we followed the so-called METHONTOLOGY based on the phases ranging from the needs specification to the evaluation and documentation of this ontology of medical analysis.