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    Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting

    Thumbnail
    Date
    2020
    Author
    Pekala, Barbara 
    Bentkowska, Urszula 
    Sesma Sara, Mikel Upna
    Fernández Fernández, Francisco Javier Upna
    Lafuente López, Julio Upna
    Altalhi, A. H. 
    Knap, Maksymilian 
    Bustince Sola, Humberto Upna
    Pintor Borobia, Jesús María Upna
    Version
    Acceso abierto / Sarbide irekia
    xmlui.dri2xhtml.METS-1.0.item-type
    Artículo / Artikulua
    Version
    Versión publicada / Argitaratu den bertsioa
    Project Identifier
    ES/1PE/TIN2016-77356-P 
    Impact
     
     
     
    10.2991/ijcis.d.200204.001
     
     
     
    Show full item record
    Abstract
    In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. Additionally, their relation and main properties are studied. These developments are made both with respect to the regular partial order of intervals and with respect to admissib ... [++]
    In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. Additionally, their relation and main properties are studied. These developments are made both with respect to the regular partial order of intervals and with respect to admissible orders. Finally, some construction methods of the introduced interval subsethood measures with the use interval-valued aggregation functions are examined. [--]
    Subject
    Aggregation function, Interval-valued fuzzy set, Subsethood measure
     
    Publisher
    Atlantis Press
    Published in
    International Journal of Computational Intelligence Systems, 2020, 13 (1), 167-177
    Departament
    Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas / Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematikak Saila / Universidad Pública de Navarra. Departamento de Ingeniería / Nafarroako Unibertsitate Publikoa. Ingeniaritza Saila / Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. ISC - Institute of Smart Cities
     
    Publisher version
    https://doi.org/10.2991/ijcis.d.200204.001
    URI
    https://hdl.handle.net/2454/37301
    Sponsorship
    This work was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge of University of Rzeszów, Poland, the project RPPK.01.03.00-18-001/10. Moreover, Urszula Bentkowska acknowledges the support of the Polish National Science Centre grant number 2018/02/X/ST6/00214. Mikel Sesma-Sara, Javier Fernández and Humberto Bustince were partially supported by Research project TIN2016-77356-P(AEI/UE/FEDER) of the Spanish Government.
    Appears in Collections
    • Artículos de revista ISC - ISC aldizkari artikuluak [204]
    • Artículos de revista DEIM - EIMS Aldizkari artikuluak [103]
    • Artículos de revista - Aldizkari artikuluak [2924]
    • Artículos de revista DING - INGS Aldizkari artikuluak [58]
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