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 op...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2010-02-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/5973 |
| _version_ | 1818891037674831872 |
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| author | Julija Lebedinska |
| author_facet | Julija Lebedinska |
| author_sort | Julija Lebedinska |
| collection | DOAJ |
| 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 |
| first_indexed | 2024-12-19T17:34:26Z |
| format | Article |
| id | doaj.art-838a89fd559c4b459d23e9ede839471b |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T17:34:26Z |
| publishDate | 2010-02-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-838a89fd559c4b459d23e9ede839471b2022-12-21T20:12:22ZengVilnius 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, LatviaWe 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 2011https://journals.vgtu.lt/index.php/MMA/article/view/5973aggregation operatorγ‐aggregation operatorpointwise extensiongeneralized aggregationorder relation |
| 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 |
| title | 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_short | γ‐Agregation operators and some aspects of generalized aggregation problem |
| title_sort | γ agregation operators and some aspects of generalized aggregation problem |
| 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 |