Journal
FUZZY SETS AND SYSTEMS
Volume 168, Issue 1, Pages 18-34Publisher
ELSEVIER
DOI: 10.1016/j.fss.2010.05.009
Keywords
Aggregation operator; OWA operator; Generalized mean; Decision making
Funding
- National Natural Science Foundation of China [70571001]
- Natural Science Foundation of Anhui province [070416245]
- Science Foundation of Anhui province [08040106835, 2007jq1017, 2008jq1128]
- Foundation of the Youth Scholarship of Anhui University [2009QN022B]
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In this paper we present a new class of operators called the continuous generalized ordered weighted averaging (C-GOWA) operators, which extends the continuous ordered weighted averaging operator. To adapt to uncertain and complex situations in decision making, we use differentiated aggregation method and produce special forms of C-GOWA operator. In addition, we apply the C-GOWA operator to the aggregation of multiple interval arguments and obtain a wide range of aggregation operators. We especially discuss the controlling parameter and the selection of basic unit-interval monotonic function, introduced in the information aggregation, to make it more feasible. We further generalize the previous approaches by using Choquet integral and quasi-arithmetic means, obtaining the combined continuous generalized Choquet integral aggregation operator and the combined continuous quasi-arithmetic Choquet integral aggregation operator. We also present some further extension by using hierarchical aggregation rules, obtaining the ordered hierarchies of the combined C-GOWA operator. Meanwhile, some desirable properties of these operators are investigated. Finally, we give a numerical example to illustrate the application of these operators to group decision making with interval arguments. (C) 2010 Elsevier B.V. All rights reserved.
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