Lizasoain Iriso, María Inmaculada

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https://academica-e.unavarra.es/handle/2454/49412

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Lizasoain Iriso

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María Inmaculada

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0002-0860-287X

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88363

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156

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    PublicationOpen Access
    Orness for idempotent aggregation functions
    (MDPI, 2017) Legarreta, Leire; Lizasoain Iriso, María Inmaculada; Mardones Pérez, Iraide; Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Matemáticas
    Aggregation functions are mathematical operators that merge given data in order to obtain a global value that preserves the information given by the data as much as possible. In most practical applications, this value is expected to be between the infimum and the supremum of the given data, which is guaranteed only when the aggregation functions are idempotent. Ordered weighted averaging (OWA) operators are particular cases of this kind of function, with the particularity that the obtained global value depends on neither the source nor the expert that provides each datum, but only on the set of values. They have been classified by means of the orness—a measurement of the proximity of an OWA operator to the OR-operator. In this paper, the concept of orness is extended to the framework of idempotent aggregation functions defined both on the real unit interval and on a complete lattice with a local finiteness condition.
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    PublicationEmbargo
    Some characterizations of lattice OWA operators
    (World Scientific Publishing Company, 2017) Miguel Turullols, Laura de; Paternain Dallo, Daniel; Lizasoain Iriso, María Inmaculada; Ochoa Lezaun, Gustavo; Bustince Sola, Humberto; Automática y Computación; Automatika eta Konputazioa; Matemáticas; Matematika
    Ordered Weighted Averaging (OWA) operators are a family of aggregation which fusion data. If the data are real numbers, then OWA operators can be characterized either as an special kind of Choquet integral or simply as an arithmetic mean of the given values previously ordered. This paper analyzes the possible generalizations of these characterizations when OWA operators are de ned on a complete lattice. In addition, the set of all n -ary OWA operators is studied as a sublattice of the lattice of all the n -ary aggregation functions de ned on a distributive lattice.