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A generalization of the migrativity property of aggregation functions

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Bustince, H. and De Baets, B. and Fernande, J. and Mesiar, R. and Montero, Javier (2012) A generalization of the migrativity property of aggregation functions. Information Sciences, 191 . pp. 76-75. ISSN 0020-0255

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Official URL: http://www.sciencedirect.com/science/article/pii/S0020025511006682


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Abstract

This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the a-migrativity property of Durante and Sarkoci for all values of a instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of a–B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel’s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms.


Item Type:Article
Uncontrolled Keywords:Aggregation function; Migrativity; Associativity; Additive generator; t-Norm; Uninorm
Subjects:Sciences > Mathematics > Operations research
ID Code:30345
Deposited On:26 May 2015 08:55
Last Modified:18 Apr 2016 14:55

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