Pi and the AGM: a study in the analytic number theory and computational complexity
Pi and the AGM: a study in the analytic number theory and computational complexity
Fuzzy Sets and Systems
Aggregation operators: properties, classes and construction methods
Aggregation operators
Aggregation with generalized mixture operators using weighting functions
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Weighted aggregation operators based on minimization
Information Sciences: an International Journal
Fuzzy Sets and Systems
Fuzzy Sets and Their Extensions: Representation, Aggregation and Models Intelligent Systems from Decision Making to Data Mining, Web Intelligence and ...
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Quantitative weights and aggregation
IEEE Transactions on Fuzzy Systems
A View of Averaging Aggregation Operators
IEEE Transactions on Fuzzy Systems
Orthogonal Grid Constructions of Copulas
IEEE Transactions on Fuzzy Systems
Continuous Preference Logic for System Evaluation
IEEE Transactions on Fuzzy Systems
Additive Generators of Discrete Conjunctive Aggregation Operations
IEEE Transactions on Fuzzy Systems
Aggregation Operators and Commuting
IEEE Transactions on Fuzzy Systems
On the optimality of conditional expectation as a Bregman predictor
IEEE Transactions on Information Theory
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes
Information Sciences: an International Journal
On the median and its extensions
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Some averaging functions in image reduction
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part III
Fuzzy Sets and Systems
Multi-attribute aggregation operators
Fuzzy Sets and Systems
Penalty-based continuous aggregation operators and their application to group decision making
Knowledge-Based Systems
Stability of weighted penalty-based aggregation functions
Fuzzy Sets and Systems
A color image reduction based on fuzzy transforms
Information Sciences: an International Journal
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This article studies a large class of averaging aggregation functions based on minimizing a distance from the vector of inputs, or equivalently, minimizing a penalty imposed for deviations of individual inputs from the aggregated value. We provide a systematization of various types of penalty based aggregation functions, and show how many special cases arise as the result. We show how new aggregation functions can be constructed either analytically or numerically and provide many examples. We establish connection with the maximum likelihood principle, and present tools for averaging experimental noisy data with distinct noise distributions.