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
An application of possibility theory to object recognition
Fuzzy Sets and Systems - Mathematical Modelling
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
Fuzzy sets in approximate reasoning, Part 1: inference with possibility distributions
Fuzzy Sets and Systems
Uninorms in fuzzy systems modeling
Fuzzy Sets and Systems
A Hierarchical Document Retrieval Language
Information Retrieval
Efficient andness-directed importance weighted averaging operators
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Intelligent information systems
Learning fuzzy rules with their implication operators
Data & Knowledge Engineering
Generalized conjunction/disjunction
International Journal of Approximate Reasoning
Parametric characterization of aggregation functions
Fuzzy Sets and Systems
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
Quantitative weights and aggregation
IEEE Transactions on Fuzzy Systems
An Orness Measure for Quasi-Arithmetic Means
IEEE Transactions on Fuzzy Systems
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Importance weighted aggregation plays a central role in utilization of information resources for information retrieval and fusion, pattern and object recognition, decision making, etc. A class of aggregation operators of particular interest is formed by the aggregation operators between the min (minimum) and the max (maximum), the so-called averaging operators. Two key issues in the choice of such an operator for a given application are the kind of importance weighting and the andness (''minness'') of the operator. Two main kinds of importance weighting for such operators, namely multiplicative and implicative, are proposed and discussed. The purpose of this paper is to facilitate the choice and application of such operators through providing a systematization of their classes according to their behavior and equipping some classical averaging operators, namely the power means and the OWA operators, with importance weighting schemes and direct parametric andness control for both kinds of importance weighting. For increased efficacy and for symmetric behavior by andness and orness (=1-andness) at the same degree of both measures, the two classes of averaging operators are applied in a De Morgan dual form. The main issue in the choice of underlying the classical averaging operator appears to be the computational cost of its application.