γ‐Agregation operators and some aspects of generalized aggregation problem
We explore questions related to the aggregation operators and aggregation of fuzzy sets. No preliminary knowledge of the aggregation operators theory and of the fuzzy sets theory are required, because all necessary information is given in Section 2. Later we introduce a new class of γ‐aggregation o...
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Vilnius Gediminas Technical University
2010-02-01
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doaj-838a89fd559c4b459d23e9ede839471b2021-07-02T10:49:43ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102010-02-0115110.3846/1392-6292.2010.15.83-96γ‐Agregation operators and some aspects of generalized aggregation problemJulija Lebedinska0Department of Mathematics, University of Latvia Zellu iela 8, LV-1002, Riga, Latvia We explore questions related to the aggregation operators and aggregation of fuzzy sets. No preliminary knowledge of the aggregation operators theory and of the fuzzy sets theory are required, because all necessary information is given in Section 2. Later we introduce a new class of γ‐aggregation operators, which “ignore” arguments less than γ. Due to this property γ‐aggregation operators simplify the aggregation process and extend the area of possible applications. The second part of the paper is devoted to the generalized aggregation problem. We use the definition of generalized aggregation operator, introduced by A. Takaci in [7], and study the pointwise extension of a γ‐agop. First published online: 09 Jun 2011 https://journals.vgtu.lt/index.php/MMA/article/view/5973aggregation operatorγ‐aggregation operatorpointwise extensiongeneralized aggregationorder relation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Julija Lebedinska |
spellingShingle |
Julija Lebedinska γ‐Agregation operators and some aspects of generalized aggregation problem Mathematical Modelling and Analysis aggregation operator γ‐aggregation operator pointwise extension generalized aggregation order relation |
author_facet |
Julija Lebedinska |
author_sort |
Julija Lebedinska |
title |
γ‐Agregation operators and some aspects of generalized aggregation problem |
title_short |
γ‐Agregation operators and some aspects of generalized aggregation problem |
title_full |
γ‐Agregation operators and some aspects of generalized aggregation problem |
title_fullStr |
γ‐Agregation operators and some aspects of generalized aggregation problem |
title_full_unstemmed |
γ‐Agregation operators and some aspects of generalized aggregation problem |
title_sort |
γ‐agregation operators and some aspects of generalized aggregation problem |
publisher |
Vilnius Gediminas Technical University |
series |
Mathematical Modelling and Analysis |
issn |
1392-6292 1648-3510 |
publishDate |
2010-02-01 |
description |
We explore questions related to the aggregation operators and aggregation of fuzzy sets. No preliminary knowledge of the aggregation operators theory and of the fuzzy sets theory are required, because all necessary information is given in Section 2. Later we introduce a new class of γ‐aggregation operators, which “ignore” arguments less than γ. Due to this property γ‐aggregation operators simplify the aggregation process and extend the area of possible applications. The second part of the paper is devoted to the generalized aggregation problem. We use the definition of generalized aggregation operator, introduced by A. Takaci in [7], and study the pointwise extension of a γ‐agop.
First published online: 09 Jun 2011
|
topic |
aggregation operator γ‐aggregation operator pointwise extension generalized aggregation order relation |
url |
https://journals.vgtu.lt/index.php/MMA/article/view/5973 |
work_keys_str_mv |
AT julijalebedinska gagregationoperatorsandsomeaspectsofgeneralizedaggregationproblem |
_version_ |
1721331680612974592 |