Interval Subsethood Measures with Respect to Uncertainty for the Interval-Valued Fuzzy Setting

Barbara Pękala; Urszula Bentkowska; Mikel Sesma-Sara; Javier Fernandez; Julio Lafuente; Abdulrahman Altalhi; Maksymilian Knap; Humberto Bustince; Jesús M. Pintor

doi:10.2991/ijcis.d.200204.001

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Volume 13, Issue 1, 2020, Pages 167 - 177

Interval Subsethood Measures with Respect to Uncertainty for the Interval-Valued Fuzzy Setting

Authors

Barbara Pękala¹, Urszula Bentkowska¹, Mikel Sesma-Sara²^{, 3}, Javier Fernandez²^{, 3}, Julio Lafuente², Abdulrahman Altalhi⁴, Maksymilian Knap¹, Humberto Bustince²^{, 3}^{, 4}^{, *}, Jesús M. Pintor⁵

¹Institute of Computer Science, University of Rzeszów, Rzeszów, Poland

²Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra, Pamplona, Spain

³Institute of Smart Cities, Universidad Publica de Navarra, Pamplona, Spain

⁴Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia

⁵Department of Engineering, Universidad Publica de Navarra, Pamplona, Spain

^*Corresponding author. Email: bustince@unavarra.es

Corresponding Author

Humberto Bustince

Received 6 November 2019, Accepted 27 January 2020, Available Online 12 February 2020.

DOI: 10.2991/ijcis.d.200204.001 How to use a DOI?
Keywords: Aggregation function; Interval-valued fuzzy set; Subsethood measure
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 admissible orders. Finally, some construction methods of the introduced interval subsethood measures with the use interval-valued aggregation functions are examined.
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal: International Journal of Computational Intelligence Systems
Volume-Issue: 13 - 1
Pages: 167 - 177
Publication Date: 2020/02/12
ISSN (Online): 1875-6883
ISSN (Print): 1875-6891
DOI: 10.2991/ijcis.d.200204.001 How to use a DOI?
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

ris enw bib

TY  - JOUR
AU  - Barbara Pękala
AU  - Urszula Bentkowska
AU  - Mikel Sesma-Sara
AU  - Javier Fernandez
AU  - Julio Lafuente
AU  - Abdulrahman Altalhi
AU  - Maksymilian Knap
AU  - Humberto Bustince
AU  - Jesús M. Pintor
PY  - 2020
DA  - 2020/02/12
TI  - Interval Subsethood Measures with Respect to Uncertainty for the Interval-Valued Fuzzy Setting
JO  - International Journal of Computational Intelligence Systems
SP  - 167
EP  - 177
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200204.001
DO  - 10.2991/ijcis.d.200204.001
ID  - Pękala2020
ER  -

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