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Aggregation of T-transitive relations

โœ Scribed by J. Jacas; J. Recasens

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
162 KB
Volume
18
Category
Article
ISSN
0884-8173

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โœฆ Synopsis

This article studies the aggregation of transitive fuzzy relations. We first find operators that preserve transitivity and then extend the results to aggregating operators. As special cases, means and some kind of suitable ordered weighted averaging (OWAs) are used to aggregate transitive fuzzy relations with respect to an Archimedean t-norm. Three families of transitive relations that allow us to modify the entries of a given relation R continuously towards the smallest and the greatest ones in our universe are given. Aggregation of nonfinite families of transitive relations also is studied and applied to calculate the degree of inclusion or similarity of fuzzy quantities (fuzzy subsets of an interval of the real line).

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