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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 α-migrativity property of Durante and Sarkoci for all values of α instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of α–B-migrativity and B-migrativity. This...
AbstractUninorms are an important generalization of t-norms and t-conorms, having a neutral element lying anywhere in the unit interval. A uninorm shows a typical block structure and is built from a t-norm, a t-conorm and a mean operator. Two important classes of uninorms are characterized, corresponding to the use of the minimum operator (the class Umin) and maximum operator (the class Umax) as mean...
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