Definition of general aggregation operators through similarity relations
type: Item
instance of: scholarly article
title: Definition of general aggregation operators through similarity relations
zbMATH Open document ID: 0962.03051
DOI: 10.1016/S0165-0114(98)00194-8
author: Gleb Beliakov
published in: Fuzzy Sets and Systems
publication date: 2001-06-13T00:00:00Z
review text: The paper offers a general approach to the concept of aggregation operators. A method for generating such operators is studied and the main attention is focused on a meaningful, simple and general interpretation of their mathematical formalism. For this purpose, the aggregation operators are percepted as different methods to measure distances to an essential reference point of the measured space. Every general aggregation operator can be associated with a corresponding metric in which the result of its application is equal to the distance to the considered reference point. It is also shown that classical operators are specific cases of the proposed general semantic model.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1517322
zbMATH Keywords: fuzzy sets
zbMATH Keywords: multicriteria analysis
zbMATH Keywords: defuzzification
zbMATH Keywords: aggregation operators
zbMATH Keywords: reference point
zbMATH Keywords: metric
zbMATH Keywords: distance
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1517322