Bustince, H. and Montero de Juan, Francisco Javier and Mesiar, R. (2009) Migrativity of aggregation functions. Fuzzy Sets and Systems, 160 (6). pp. 766-777. ISSN 0165-0114
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We introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. Among other things, in this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity (with the product being the only migrative t-norm, as already shown by other authors) and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Similarly, it is the only associative migrative aggregation function possessing a neutral element. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed.
|Uncontrolled Keywords:||Aggregation functions; Migrativity; Associativity; Bisymmetry; T-norms; Uninorms; Nullnorms|
|Subjects:||Sciences > Computer science > Artificial intelligence|
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|Deposited On:||11 Sep 2012 07:43|
|Last Modified:||05 May 2015 08:35|
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