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...

Full description

Bibliographic Details
Main Author: Julija Lebedinska
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2010-02-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5973
id doaj-838a89fd559c4b459d23e9ede839471b
record_format Article
spelling 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