Weighted minimum and maximun operations in fuzzy sets theory
Information Sciences: an International Journal
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Retrieving information by fuzzification of queries
Journal of Intelligent Information Systems - Special issue: fuzzy logic and uncertainty management in information systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Analytic properties of maximum entropy OWA operators
Information Sciences—Informatics and Computer Science: An International Journal
Using OWA operator in flexible query processing
The ordered weighted averaging operators
Generation of weighting triangles associated with aggregation functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Extended Boolean information retrieval
Communications of the ACM
Limit properties of quasi-arithmetic means
Fuzzy Sets and Systems
Aggregation operators for selection problems
Fuzzy Sets and Systems - Special issue: Soft decision analysis
A framework for fuzzy recognition technology
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Including importances in OWA aggregations using fuzzy systems modeling
IEEE Transactions on Fuzzy Systems
Generalized conjunction/disjunction
International Journal of Approximate Reasoning
Orness and parameterized RIM quantifier aggregation with OWA operators: A summary
International Journal of Approximate Reasoning
Exploring the Application of Fuzzy Logic and Data Fusion Mechanisms in QAS
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Parameterized defuzzification with continuous weighted quasi-arithmetic means - An extension
Information Sciences: an International Journal
FuzzyPR: An Effective Passage Retrieval System for QAS
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
The orness measures for two compound quasi-arithmetic mean aggregation operators
International Journal of Approximate Reasoning
Importance weighting and andness control in De Morgan dual power means and OWA operators
Fuzzy Sets and Systems
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Importance weighted averaging is a central information processing task in multicriteria decision problems of many kinds, such that selection, classification, object recognition, query answering, and information retrieval. These problems are characterized by a query, i.e., a set of importance weighted criteria, and a set of options queried. While each criterion determines a ranking of the options, the task of the averaging operator is essentially to aggregate these rankings into an overall ranking under the consideration of the criterion importance. We present a class of such operators, based on the power means, namely the Andness-directed Importance Weighted Averaging (AIWA) operators. The operators are equipped with an approximate andness measure allowing an easy, direct control of the andness in the unit interval. The aggregation behavior of the operators appears to be similar to that of importance weighted maximum entropy OWA operators. However, AIWA operators aggregates n arguments (criterion satisfaction values) in O(n) time as opposed to O(n log n) time for OWA operators. An interesting property provided by AIWA operators is decomposability, allowing us to consider new or improved criteria without recomputing with all arguments. Overall, the AIWA operators appear to be effective as andness controlled, importance weighted averaging operators, as well as easy to apply and computationally efficient.