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    OWA operators based on admissible permutations

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    2020020152_Paternain_OWAOperators.pdf (198.9Kb)
    Date
    2019
    Author
    Paternain Dallo, Daniel Upna Orcid
    Jin, LeSheng 
    Mesiar, Radko 
    Vavríková, Lucia 
    Bustince Sola, Humberto Upna Orcid
    Version
    Acceso abierto / Sarbide irekia
    Type
    Contribución a congreso / Biltzarrerako ekarpena
    Version
    Versión aceptada / Onetsi den bertsioa
    Project Identifier
    ES/1PE/ 
    Impact
     
     
     
    10.1109/FUZZ-IEEE.2019.8858866
     
     
     
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    Abstract
    In this work we propose a new OWA operator defined on bounded convex posets of a vector-lattice. In order to overcome the non-existence of a total order, which is necessary to obtain a non-decreasing arrangement of the input data, we use the concept of admissible permutation. Based on it, our proposal calculates the different ways in which the input vector could be arranged, always respecting the ... [++]
    In this work we propose a new OWA operator defined on bounded convex posets of a vector-lattice. In order to overcome the non-existence of a total order, which is necessary to obtain a non-decreasing arrangement of the input data, we use the concept of admissible permutation. Based on it, our proposal calculates the different ways in which the input vector could be arranged, always respecting the partial order. For each admissible arrangement, we calculate an intermediate value which is finally collected and averaged by means of the arithmetic mean. We analyze several properties of this operator and we give some counterexamples of those properties of aggregation functions which are not satisfied. [--]
    Subject
    Aggregation functions, Admissible order, Admissible permutation, OWA operator
     
    Publisher
    IEEE
    Published in
    2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE): 23-26 June, New Orleans, Louisiana, USA, pp. 1-5
    Departament
    Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas / Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
     
    Publisher version
    https://doi.org/10.1109/FUZZ-IEEE.2019.8858866
    URI
    https://hdl.handle.net/2454/36981
    Sponsorship
    This work has been partially supported by MINECO, AEI/FEDER,UE under grant TIN2016-77356-P, by grant VEGA 1/0006/19 and by the Public University of Navarre under the project PJUPNA13.
    Appears in Collections
    • Comunicaciones y ponencias de congresos DEIM - EIMS Biltzarretako komunikazioak eta txostenak [44]
    • Comunicaciones y ponencias de congresos - Biltzarrak eta Argitalpenak [577]
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