An overview of operators for aggregating information

By Zeshui Xu, Qingli Da. International Journal of Intelligent Systems, 2003

821 citations recorded by the source corpus.

In this work, we first make a survey of the existing main aggregation operators and then propose some new aggregation operators such as the induced ordered weighted geometric averaging (IOWGA) operator, generalized induced ordered weighted averaging (GIOWA) operator, hybrid weighted averaging (HWA) operator, etc., and study their desirable properties. Finally, we briefly classify all of these aggregation operators. © 2003 Wiley Periodicals, Inc.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6a126fba36cae0176584ad4a1b93f7aeef6287dd

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Citations in the corpus

New decision-making techniques and their application in the selection of financial products (2010, neutral): “For further reading on the theory and application of the OWA operator, refer to [1–5,7–9,13,15– 18,22–25,27–31,33–35,37,40,46–51,53–55,57–59].”
An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations (2006, background): “The DM dlaD compares these alternatives with respect to a single criterion by the multiplicative linguistic terms in the set S={sa|a=1/t ,. .”
Hesitant fuzzy information aggregation in decision making (2011, background): “Aggregation operators for hesitant fuzzy information Since its appearance, the ordered weighted averaging (OWA) operator, introduced by Yager [14], has received more and more attention [15–21].”
Intuitionistic Fuzzy Information Aggregation Using Einstein Operations (2012, background): “Note that the IFWA and IFOWA operators extend the weighted averaging (WA) [33], [65] operator and the OWA [70], [71] operator to aggregate AIFVs in L∗, respectively.”
A statistical comparative study of different similarity measures of consensus in group decision making (2013, background): “Currently, at least 90 different families of aggregation operators have been studied [11, 12, 17, 19, 21, 35, 51, 52, 55, 56].”
Some geometric aggregation operators based on intuitionistic fuzzy sets (2006, methodology): “0 and P n j ¼ 1 v j ¼ 1, then a WG operator is deﬁned as (Saaty 1980, Acze´l and Saaty 1983, Willet and Sharda 1991, Benjamin et al. 1992, Xu 2000, Xu and Da 2003): Another geometric aggregation operator called the OWG operator based on the OWA operator (Yager 1988, Yager 1993, Yager and Kacprzyk…”
Risk evaluation approaches in failure mode and effects analysis: A literature review (2013, background): “In Chen and Ko (2009a, 2009b), the FRPNs was defined as fuzzy ordered weighted geometric averaging (FOWGA) (Xu & Da, 2003) of the three risk factors.”
A framework for linguistic logic programming (2010, background): “It is noted that if the weights Wi reduce to intervals W̄i ⊆ [0, 1], the above type-2 OWA aggregation can be simpliÞed further as”
Deviation measures of linguistic preference relations in group decision making (2005, methodology): “Basic notations and operational laws The linguistic approach is an approximate technique, which represents qualitative aspects as linguistic values by means of linguistic variables [14–29].”