2007
DOI: 10.1007/978-3-540-73345-4_52
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Rough Ontology: Extension of Ontologies by Rough Sets

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Cited by 14 publications
(9 citation statements)
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“…This is a major difference when compared with the fuzzy set theory which requires probability assignments and membership values respectively. Ishizu et al [6] formulated a concept of rough ontology, which is an extended concept of the rough set, and define extended concepts of rough ontology. In this way, rough set theory using the concept of ontology enables us to use flexible information system in ontological description.…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…This is a major difference when compared with the fuzzy set theory which requires probability assignments and membership values respectively. Ishizu et al [6] formulated a concept of rough ontology, which is an extended concept of the rough set, and define extended concepts of rough ontology. In this way, rough set theory using the concept of ontology enables us to use flexible information system in ontological description.…”
Section: Related Workmentioning
confidence: 99%
“…The Rough set theory incorporates with the existing ontology concepts and can provide possibilities to quantify a degree of accuracy of knowledge,. It can also a concept of rough ontology, which is an extended concept of the Rough set [6]. The unique advantage offered by the theory is that it enables us to use flexible information system in the form of rough ontology.…”
Section: Introductionmentioning
confidence: 99%
“…In the works of Pancerz (2012b;2013b), ontologies were incorporated into information (decision) systems, i.e., attribute values were considered in the ontological (semantic) spaces. Similar approaches have been considered in the literature, e.g., DAG-decision systems (Midelfart and Komorowski, 2002), the dominance-based rough set approach (DRSA) (Greco et al, 2001), rough ontology (Ishizu et al, 2007), etc. In our approach, we replace, in a classic definition…”
Section: Introductionmentioning
confidence: 99%
“…the tuple notation in [6], use both R and D for the 'attributes' of the concepts (cf. R only in [5,8]), include the properties of the indistinguishability relation (cf. their omission in [7] or a similarity relation [3]), and adhere to proper declaration of C, C, and C in that they all have the same collection of properties from R ∪ D (cf.…”
Section: Prospects For Rough Owl Ontologiesmentioning
confidence: 99%
“…To support such usage of ontologies, one needs a language with which one can represent, at least, rough concepts as the intensional representation of the corresponding rough set and a way to persistently relate the instance data to the rough concepts. Various extensions of Description Logics (DL) and OWL languages have been proposed for rough ontologies [3][4][5][6][7][8], which diverge in commitment as to which aspects of rough sets are included in the ontology language and they concern theory instead of demonstrating successful use of the rough ontology in ontology engineering. As it turns out, there is no perfect DL language, reasoner, and ontology development tool that does it all with respect to the semantics of rough sets, nor will there be if one adheres to the hard requirement of staying within the decidable fragment of first order logic, let alone within the tractable zone.…”
Section: Introductionmentioning
confidence: 99%