Local and Global Similarities in Fuzzy Class Theory

Eva Armengol*, Pilar Dellunde, Àngel García-Cerdaña

*Corresponding author for this work

Research output: Chapter in BookChapterResearch

Abstract

Similarity is a central issue in many topics from psychology to artificial intelligence. In the present paper we want to contribute to the study of the similarity relation between objects represented as attribute-value pairs in the logical context. Following the idea that similarity is a phenomena essentially fuzzy, we introduce fuzzy similarities and prove some logical properties in the framework of Fuzzy Class Theory based on the logic MTLΛ. We prove that the global similarity inherits the usual properties of the local similarities (reflexivity, symmetry, transitivity). We also show that similar objects have similar properties, being these properties expressed by MTLΛ ∀ formulas evaluated in these objects.

Original languageEnglish
Title of host publicationArtificial Intelligence Research and Development - Recent Advances and Applications
Editors ISBN 978-1-61499-451-0
Place of PublicationAmsterdam (NL)
Pages205-214
Number of pages10
Volume269
Edition1
ISBN (Electronic)9781614994510, 9781614994527
DOIs
Publication statusPublished - 1 Jan 2014

Publication series

NameFrontiers in Artificial Intelligence and Applications
Volume269
ISSN (Print)0922-6389

Keywords

  • Attribute-Value Representation
  • Fuzzy Class Theory
  • Similarity Relation

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