Armen Inants, Manuel Atencia, Jérôme Euzenat, Algebraic calculi for weighted ontology alignments, in: Proc. 15^{th }conference on International semantic web conference (ISWC), Kobe (JP), (Paul Groth, Elena Simperl, Alasdair Gray, Marta Sabou, Markus Krötzsch, Freddy Lécué, Fabian Flöck, Yolanda Gil (eds), The Semantic Web - ISWC 2016, Lecture notes in computer science 9981, 2016), pp360-375, 2016

Alignments between ontologies usually come with numerical attributes expressing the confidence of each correspondence. Semantics supporting such confidences must generalise the semantics of alignments without confidence. There exists a semantics which satisfies this but introduces a discontinuity between weighted and non-weighted interpretations. Moreover, it does not provide a calculus for reasoning with weighted ontology alignments. This paper introduces a calculus for such alignments. It is given by an infinite relation-type algebra, the elements of which are weighted taxonomic relations. In addition, it approximates the non-weighted case in a continuous manner.

Weighted ontology alignment, Algebraic reasoning, Qualitative calculi