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Some construction methods of aggregation operators in decision-making problems: an overview


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


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym12050694
Publisher: MDPI
Keywords: Aggregation operators; Composite aggregation operators; Weighted aggregation operators; Transformation; Duality; Group decision-making
Depositing User: Nabilah Mustapa
Date Deposited: 15 Jun 2020 08:40
Last Modified: 15 Jun 2020 08:40
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym12050694
URI: http://psasir.upm.edu.my/id/eprint/36520
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