bibtype J - Journal Article
ARLID 0559712
utime 20230324085040.0
mtime 20220805235959.9
SCOPUS 85132873051
WOS 000833300000007
DOI 10.1016/j.ijar.2022.06.003
title (primary) (eng) Rectangles-based discrete universal fuzzy integrals
specification
page_count 12 s.
media_type P
serial
ARLID cav_un_epca*0256774
ISSN 0888-613X
title International Journal of Approximate Reasoning
volume_id 148
volume 1 (2022)
page_num 162-173
publisher
name Elsevier
keyword Aggregation function
keyword Choquet integral
keyword Discrete fuzzy integral
keyword Hypergraph of survival function
keyword Rectangle mapping
author (primary)
ARLID cav_un_auth*0101163
name1 Mesiar
name2 Radko
institution UTIA-B
full_dept (cz) Ekonometrie
full_dept (eng) Department of Econometrics
department (cz) E
department (eng) E
full_dept Department of Econometrics
share 70
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0212843
name1 Kolesárová
name2 A.
country SK
share 30
source
url http://library.utia.cas.cz/separaty/2022/E/mesiar-0559712.pdf
source
url https://www.sciencedirect.com/science/article/pii/S0888613X22000925?via%3Dihub
cas_special
abstract (eng) Using hypergraphs of survival functions, we propose a rather general method for the construction of discrete fuzzy integrals. Our method is based on various rectangle decompositions of hypergraphs and on rectangle mappings suitably evaluating the rectangles of the considered decompositions. By means of appropriate binary aggregation functions we define two types of rectangle mappings and four types of discrete fuzzy integral constructions, and we also investigate the properties of the introduced integrals and the relationships between them. All the introduced methods based on non-overlapping rectangles coincide in the case of the product aggregation function, and then the related integral is the Choquet integral. Several examples are given.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2023
num_of_auth 2
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0333423
confidential S
mrcbC86 n.a. Article Computer Science Artificial Intelligence
mrcbC91 C
mrcbT16-e COMPUTERSCIENCEARTIFICIALINTELLIGENCE
mrcbT16-j 0.721
mrcbT16-s 0.978
mrcbT16-D Q3
mrcbT16-E Q2
arlyear 2022
mrcbU14 85132873051 SCOPUS
mrcbU24 PUBMED
mrcbU34 000833300000007 WOS
mrcbU63 cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 148 č. 1 2022 162 173 Elsevier