Some construction methods of aggregation operators in decision-making problems: an overview
Aggregating data is the main line of any discipline dealing with fusion of information from the knowledge-based systems to decision-making. The purpose of aggregation methods is to convert a list of objects, all belonging to a given set, into a single representative object of the same set usually by...
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| Format: | Article |
| Language: | English |
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MDPI
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36520/ http://psasir.upm.edu.my/id/eprint/36520/1/36520.pdf |
| _version_ | 1848848355785965568 |
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| author | Khameneh, Azadeh Zahedi Kilicman, Adem |
| author_facet | Khameneh, Azadeh Zahedi Kilicman, Adem |
| author_sort | Khameneh, Azadeh Zahedi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Aggregating data is the main line of any discipline dealing with fusion of information from the knowledge-based systems to decision-making. The purpose of aggregation methods is to convert a list of objects, all belonging to a given set, into a single representative object of the same set usually by an n-ary function, so-called aggregation operator. As the useful aggregation functions for modeling real-life problems are limited, the basic problem is to construct a proper aggregation operator, usually a symmetric one, for each situation. During the last decades, a number of construction methods for aggregation functions have been developed to build new classes based on the existing well-known operators. There are three main construction methods in common use: transformation, composition, and convex combination. This paper compares these methods with respect to the type of aggregating problems that can be handled by each of them. |
| first_indexed | 2025-11-15T09:33:11Z |
| format | Article |
| id | upm-36520 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:33:11Z |
| publishDate | 2020 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-365202020-06-15T08:40:18Z http://psasir.upm.edu.my/id/eprint/36520/ Some construction methods of aggregation operators in decision-making problems: an overview Khameneh, Azadeh Zahedi Kilicman, Adem Aggregating data is the main line of any discipline dealing with fusion of information from the knowledge-based systems to decision-making. The purpose of aggregation methods is to convert a list of objects, all belonging to a given set, into a single representative object of the same set usually by an n-ary function, so-called aggregation operator. As the useful aggregation functions for modeling real-life problems are limited, the basic problem is to construct a proper aggregation operator, usually a symmetric one, for each situation. During the last decades, a number of construction methods for aggregation functions have been developed to build new classes based on the existing well-known operators. There are three main construction methods in common use: transformation, composition, and convex combination. This paper compares these methods with respect to the type of aggregating problems that can be handled by each of them. MDPI 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/36520/1/36520.pdf Khameneh, Azadeh Zahedi and Kilicman, Adem (2020) Some construction methods of aggregation operators in decision-making problems: an overview. Symmetry, 12 (5). art. no. 694. pp. 1-20. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/5/694 10.3390/sym12050694 |
| spellingShingle | Khameneh, Azadeh Zahedi Kilicman, Adem Some construction methods of aggregation operators in decision-making problems: an overview |
| title | Some construction methods of aggregation operators in decision-making problems: an overview |
| title_full | Some construction methods of aggregation operators in decision-making problems: an overview |
| title_fullStr | Some construction methods of aggregation operators in decision-making problems: an overview |
| title_full_unstemmed | Some construction methods of aggregation operators in decision-making problems: an overview |
| title_short | Some construction methods of aggregation operators in decision-making problems: an overview |
| title_sort | some construction methods of aggregation operators in decision-making problems: an overview |
| url | http://psasir.upm.edu.my/id/eprint/36520/ http://psasir.upm.edu.my/id/eprint/36520/ http://psasir.upm.edu.my/id/eprint/36520/ http://psasir.upm.edu.my/id/eprint/36520/1/36520.pdf |