000			01810 a2200265 4500
999			_c52637 _d52637
008			200320b ||||| |||| 00| 0 eng d
020			_a9780521519267
082			_a512 _bGRA
100			_aGrabisch, Michel
245			_aAggregation functions, Vol.127
260			_c2009. _aCambridge : _bCambridge University Press,
300			_axvii; 460 p. _bHb. _c24 cm.
365			_aGBP _b103.00
440			_aEncyclopedia of mathematics and its applications
520			_aAggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers.
650			_aNumerical
650			_aFunctions
650			_aAggregation
650			_aOperators
650			_ascales
700			_aMarichal, Jean-Luc
700			_aMesiar, Radko
700			_aPap, Endre
942			_2ddc _cTD