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The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs.
It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions.
A broad introduction to the topic of aggregation functions is to be found in this book. Particular attention is paid to identification and construction of aggregation functions from application specific requirements and empirical data.
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