Handling of neutral information by aggregation operators

Authors:
G. Beliakov;T. Calvo;A. Pradera
Affiliations:
School of Engineering and Information Technology, Deakin University, 221 Burwood Hwy, Burwood 3125, Australia;Departamento de Ciencias de la Computación, Universidad de Alcalá, 28871-Alcalá de Henares, Madrid, Spain;Departamento de Arq. y Tecnología de Computadores y CCIA, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

We generalize the notion of a neutral element of aggregation operators. Our construction involves tuples of values that are neutral with respect to the result of aggregation. Neutral tuples are useful to model situations in which information from different sources, or preferences of several decision makers, cancel each other. We examine many popular classes of aggregation operators in respect to their neutral sets, and also construct new aggregation operators with predefined neutral sets.