Aggregation functions considering criteria interrelationships in fuzzy multi-criteria decision making: state-of-the-art

Sun, L, Dong, H and Liu, A 2018, 'Aggregation functions considering criteria interrelationships in fuzzy multi-criteria decision making: state-of-the-art', IEEE Access, vol. 6, pp. 68104-68136.


Document type: Journal Article
Collection: Journal Articles

Title Aggregation functions considering criteria interrelationships in fuzzy multi-criteria decision making: state-of-the-art
Author(s) Sun, L
Dong, H
Liu, A
Year 2018
Journal name IEEE Access
Volume number 6
Start page 68104
End page 68136
Total pages 33
Publisher IEEE
Abstract Aggregation function is an important component in an information aggregation or information fusion system. Interrelationships usually exist between the input arguments (e.g. the criteria in the multi-criteria decision making) of an aggregation function. In this paper, we make a comprehensive survey on the aggregation operators (AOs) that consider the argument interrelationships in crisp and fuzzy settings. In particular, we discuss the mechanisms of modelling the argument interrelationships of the Choquet integral (CI), the power average (PA), the Bonferroni mean (BM), the Heronian mean (HM) and the Maclaurin symmetric mean (MSM) operators, and introduce their extended (e.g. generalized or weighted) forms and their applications in different fuzzy sets. In addition, we compare these five types of operators and summarize their advantages and disadvantages. Furthermore, we discuss the applications of these operators. Finally, we identify some future research directions in the AOs considering the argument interrelationships. The reviewed papers are mainly about the development of the CI, the PA, the BM, the HM and the MSM in (fuzzy) MCDMs, most of which fall in the period of 2009-2018.
Subject Neural, Evolutionary and Fuzzy Computation
Decision Support and Group Support Systems
DOI - identifier 10.1109/ACCESS.2018.2879741
Copyright notice © 2018 IEEE
ISSN 2169-3536
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