4.7 Article

Constructing Choquet integral-based operators that generalize weighted means and OWA operators

Journal

INFORMATION FUSION
Volume 23, Issue -, Pages 131-138

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.inffus.2014.06.003

Keywords

Choquet integral; Weighted means; OWA operators; SUOWA operators; Semi-uninorms

Funding

  1. University of Valladolid
  2. Spanish Ministry of Economy and Competitiveness [ECO2012-32178]
  3. Junta de Castilla y Leon (Consejeria de Educacion) [VA066U13]

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In this paper we introduce the semi-uninorm based ordered weighted averaging (SUOWA) operators, a new class of aggregation functions that, as WOWA operators, simultaneously generalize weighted means and OWA operators. To do this we take into account that weighted means and OWA operators are particular cases of Choquet integral. So, SUOWA operators are Choquet integral-based operators where their capacities are constructed by using semi-uninorms and the values of the capacities associated to the weighted means and the OWA operators. We also show some interesting properties of these new operators and provide examples showing that SUOWA and WOWA operators are different classes of aggregation operators. (C) 2014 Elsevier B.V. All rights reserved.

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