Aggregation of triangle of distortion functions

Časopis: Information Sciences

Volume 563

ISSN: 0020-0255

DOI: 10.1016/j.ins.2021.02.065

Stranice: 401-417


In this paper we introduce notions of distortion function and aggregated distortion function. Applying some extended aggregation function on the triangle of distortion functions, a new extended aggregation function is obtained. Properties of the aggregation function constructed in this way depend on the properties of applied aggregation function and the distortion functions used. Its properties as continuity, convexity, concavity, subadditivity and superadditivity are investigated.
Ključne reči: Aggregation functions; Distortion function; Convexity; Concavity; Subadditivity; Superadditivity
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