@inbook{e0e3c7dbfbfb428da86f2c286710d946,
title = "Local and Global Similarities in Fuzzy Class Theory",
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.",
keywords = "Attribute-Value Representation, Fuzzy Class Theory, Similarity Relation",
author = "Eva Armengol and Pilar Dellunde and {\`A}ngel Garc{\'i}a-Cerda{\~n}a",
year = "2014",
month = jan,
day = "1",
doi = "10.3233/978-1-61499-452-7-205",
language = "English",
isbn = "978-1-61499-451-0",
volume = "269",
series = "Frontiers in Artificial Intelligence and Applications",
pages = "205--214",
editor = "{ISBN 978-1-61499-451-0}",
booktitle = "Artificial Intelligence Research and Development - Recent Advances and Applications",
edition = "1",
}