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A fuzzy majority-based construction method for composed aggregation functions by using combination operator


Kilicman, Adem and Khameneh, Azadeh Zahedi (2019) A fuzzy majority-based construction method for composed aggregation functions by using combination operator. Information sciences, 505. pp. 367-387. ISSN 0020-0255


This paper focuses on the problem of constructing aggregation functions which support the concept of partial agreement when only one or more sub-group(s) of decision makers and criteria, not necessarily all of them, is (are) involved to take the final action. The proposed method is started with computing all different α-combinations from an n-element set of inputs, according to the binomial coefficient, and then completed by combining their aggregations. This approach, so-called combination operator-based aggregation function, guarantees to consider various agreement scenarios at different consensus levels in contrary with the traditional composition-based construction methods that act as a full agreement. The attention is then given to the weighted case specially the conditions of weighting vectors for ensuring the well-defined property of the proposed method. As an application, the combination operator-based aggregation function is generalized over the Cartesian product of unit intervals [0,1] to deal with multi-polar information. The proposed aggregating methodology is then used to reach consensus in a group decision-making problem.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1016/j.ins.2019.07.090
Publisher: Elsevier
Keywords: Aggregation function; Combination operator; Weighting matrix; Decision-making; Consensus
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 10 Nov 2020 07:22
Last Modified: 10 Nov 2020 07:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.ins.2019.07.090
URI: http://psasir.upm.edu.my/id/eprint/80419
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