| bibtype |
J -
Journal Article
|
| ARLID |
0531646 |
| utime |
20240103224328.8 |
| mtime |
20200818235959.9 |
| SCOPUS |
85061115962 |
| WOS |
000495091300003 |
| DOI |
10.1016/j.fss.2019.01.009 |
| title
(primary) (eng) |
Generalized CF1F2-integrals: From Choquet-like aggregation to ordered directionally monotone functions |
| specification |
| page_count |
24 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256642 |
| ISSN |
0165-0114 |
| title
|
Fuzzy Sets and Systems |
| volume_id |
378 |
| volume |
1 (2020) |
| page_num |
44-67 |
| publisher |
|
|
| keyword |
Uninorm |
| keyword |
Fuzzy Implication |
| keyword |
Distributivity |
| author
(primary) |
| ARLID |
cav_un_auth*0330395 |
| name1 |
Dimuro |
| name2 |
G. P. |
| country |
BR |
| share |
25 |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0330393 |
| name1 |
Lucca |
| name2 |
G. |
| country |
ES |
| share |
10 |
|
| author
|
| ARLID |
cav_un_auth*0298830 |
| name1 |
Bedregal |
| name2 |
B. |
| country |
BR |
| share |
10 |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| name1 |
Mesiar |
| name2 |
Radko |
| institution |
UTIA-B |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| full_dept |
Department of Econometrics |
| share |
25 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0357025 |
| name1 |
Sanz |
| name2 |
A. |
| country |
ES |
| share |
10 |
|
| author
|
| ARLID |
cav_un_auth*0394829 |
| name1 |
Ling |
| name2 |
S.-T. |
| country |
AU |
| share |
10 |
|
| author
|
| ARLID |
cav_un_auth*0271524 |
| name1 |
Bustince |
| name2 |
H. |
| country |
ES |
| share |
10 |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
This paper introduces the theoretical framework for a generalization of CF1F2-integrals, a family of Choquet-like integrals used successfully in the aggregation process of the fuzzy reasoning mechanisms of fuzzy rule based classification systems. The proposed generalization, called by gCF1F2-integrals, is based on the so-called pseudo pre-aggregation function pairs (F1,F2), which are pairs of fusion functions satisfying a minimal set of requirements in order to guarantee that the gCF1F2-integrals to be either an aggregation function or just an ordered directionally increasing function satisfying the appropriate boundary conditions. We propose a dimension reduction of the input space, in order to deal with repeated elements in the input, avoiding ambiguities in the definition of gCF1F2-integrals. We study several properties of gCF1F2-integrals, considering different constraints for the functions F1 and F2, and state under which conditions gCF1F2-integrals present or not averaging behaviors. Several examples of gCF1F2-integrals are presented, considering different pseudo pre-aggregation function pairs, defined on, e.g., t-norms, overlap functions, copulas that are neither t-norms nor overlap functions and other functions that are not even pre-aggregation functions. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2021 |
| num_of_auth |
7 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0310640 |
| confidential |
S |
| mrcbC86 |
1* Article Computer Science Theory Methods|Mathematics Applied|Statistics Probability |
| mrcbC91 |
C |
| mrcbT16-e |
COMPUTERSCIENCETHEORYMETHODS|MATHEMATICSAPPLIED|STATISTICSPROBABILITY |
| mrcbT16-i |
1.54465 |
| mrcbT16-j |
0.706 |
| mrcbT16-s |
0.902 |
| mrcbT16-B |
48.968 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2020 |
| mrcbU14 |
85061115962 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000495091300003 WOS |
| mrcbU63 |
cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 378 č. 1 2020 44 67 Elsevier |
|