License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2020.30
URN: urn:nbn:de:0030-drops-123522
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12352/
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Dundua, Besik ; Kutsia, Temur ; Marin, Mircea ; Pau, Cleopatra

Constraint Solving over Multiple Similarity Relations

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LIPIcs-FSCD-2020-30.pdf (0.6 MB)


Abstract

Similarity relations are reflexive, symmetric, and transitive fuzzy relations. They help to make approximate inferences, replacing the notion of equality. Similarity-based unification has been quite intensively investigated, as a core computational method for approximate reasoning and declarative programming. In this paper we consider solving constraints over several similarity relations, instead of a single one. Multiple similarities pose challenges to constraint solving, since we can not rely on the transitivity property anymore. Existing methods for unification with fuzzy proximity relations (reflexive, symmetric, non-transitive relations) do not provide a solution that would adequately reflect particularities of dealing with multiple similarities. To address this problem, we develop a constraint solving algorithm for multiple similarity relations, prove its termination, soundness, and completeness properties, and discuss applications.

BibTeX - Entry

@InProceedings{dundua_et_al:LIPIcs:2020:12352,
  author =	{Besik Dundua and Temur Kutsia and Mircea Marin and Cleopatra Pau},
  title =	{{Constraint Solving over Multiple Similarity Relations}},
  booktitle =	{5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)},
  pages =	{30:1--30:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-155-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{167},
  editor =	{Zena M. Ariola},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12352},
  URN =		{urn:nbn:de:0030-drops-123522},
  doi =		{10.4230/LIPIcs.FSCD.2020.30},
  annote =	{Keywords: Fuzzy relations, similarity, constraint solving}
}

Keywords: Fuzzy relations, similarity, constraint solving
Collection: 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)
Issue Date: 2020
Date of publication: 28.06.2020


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