A joint Choquet index from two vectors of weights

  1. José Carlos Rodríguez Alcantud 1
  2. Antoni Vidal Ferràndiz coord.
  3. Ramón José Torregrosa Montaner coord. 1
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

Proceedings:
XXVI edition of the international congress Mathematical Modelling in Engineering & Human Behaviour (MME&HB2024)

Publisher: im2 Instituto Universitario de Matemática Interdisciplinar, Universidad Politécnica de Valencia

ISBN: 978-84-09-63274-9

Year of publication: 2024

Pages: 287-294

Congress: This book includes the extended abstracts of papers presented at XXVI Edition of the Mathematical Modelling Conference Series at the Institute for Multidisciplinary Mathematics MathematicalModelling in Engineering & Human Behaviour 2024, Valencia, July 10th-12th

Type: Conference paper

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Abstract

The topic of mixing the weighted average means (WAM) and ordered weighted average (OWA) operators has been studied in agonizing detail. It has become one of the most prominent ways to extend OWA operators. Mixed indices using both approaches must use two vectors of weights. Whereas the focus of weights associated with WAM is on the values, the weights associated with OWA focus on order. This work studies how two weights can be combined to produce one single operator sharing traits from both WAMs and OWAs. This operator takes the form of a Choquet integral defined by a 2-additive capacity.