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

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Date
2020Author
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión publicada / Argitaratu den bertsioa
Project Identifier
ES/1PE/TIN2016-77356-P
Impact
|
10.2991/ijcis.d.200204.001
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 /
Universidad Pública de Navarra. Departamento de Ingeniería /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Nafarroako Unibertsitate Publikoa. Ingeniaritza Saila
Publisher version
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.