By Gleb Beliakov, Humberto Bustince Sola, Tomasa Calvo

ISBN-10: 3319247514

ISBN-13: 9783319247519

ISBN-10: 3319247530

ISBN-13: 9783319247533

This booklet deals an easy-to-use and practice-oriented reference consultant to mathematical averages. It provides alternative ways of aggregating enter values given on a numerical scale, and of selecting and/or developing aggregating capabilities for particular functions. development on a prior monograph through Beliakov et al. released through Springer in 2007, it outlines new aggregation tools built for the time being, with a different specialise in the subject of averaging aggregation capabilities. It examines fresh advances within the box, similar to aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends some of the already present equipment, similar to: ordered weighted averaging (OWA), fuzzy integrals and mix capabilities. a considerable mathematical historical past isn't really referred to as for, as all of the appropriate mathematical notions are defined right here and pronounced on including a wealth of graphical illustrations of targeted households of aggregation features. The authors usually concentrate on functional purposes and provides principal significance to the conciseness of exposition, in addition to the relevance and applicability of the suggested equipment, delivering a useful source for computing device scientists, IT experts, mathematicians, method architects, wisdom engineers and programmers, in addition to for a person dealing with the problem of ways to mix numerous inputs right into a unmarried output value.