``The process of combining several numerical values into a single representative one is called aggregation, and the numerical function performing this process is called aggregation function. This simple definition demonstrates the size of the field of application of aggregation: applied mathematics (e.g. probability, statistics, decision theory), computer science (e.g. artificial intelligence, operation research), as well as many applied fields (economics and finance, pattern recognition and image processing, data fusion, multicriteria decision making, automated reasoning etc.). Although history of aggregation is probably as old as mathematics (think of the arithmetic mean), its existence has reminded underground till only recent (...).'' (Grabisch et al, 2009, p. xiii)
agop is an open source (LGPL 3) package for R, to which anyone can contribute. It started as a fork of the CITAN package (Gagolewski, 2011).
For more infrmation refer to the Package Vignette. Its most recent version is available at http://github.com/Rexamine/agop/raw/master/inst/doc/agop-Tutorial.pdf.
Beliakov G., Pradera A., Calvo T., Aggregation Functions: A Guide for Practitioners, Springer-Verlag, 2007. Cena A., Gagolewski M., OM3: ordered maxitive, minitive, and modular aggregation operators - Part I: Axiomatic analysis under arity-dependence, In: Bustince H. et al (Eds.), Aggregation Functions in Theory and in Practise (AISC 228), Springer-Verlag, Heidelberg, 2013, pp. 93-103. Cena A., Gagolewski M., OM3: ordered maxitive, minitive, and modular aggregation operators - Part II: A simulation study, In: Bustince H. et al (Eds.), Aggregation Functions in Theory and in Practise (AISC 228), Springer-Verlag, Heidelberg, 2013, pp. 105-115. Dubois D., Prade H., Testemale C., Weighted fuzzy pattern matching, Fuzzy Sets and Systems 28, 1988, pp. 313-331. Gagolewski M., On the Relationship Between Symmetric Maxitive, Minitive, and Modular Aggregation Operators, Information Sciences 221, 2013, pp. 170-180. Gagolewski M., Grzegorzewski P., Possibilistic Analysis of Arity-Monotonic Aggregation Operators and Its Relation to Bibliometric Impact Assessment of Individuals, International Journal of Approximate Reasoning 52(9), 2011, pp. 1312-1324. Gagolewski M., Mesiar R., Aggregating Different Paper Quality Measures with a Generalized h-index, Journal of Informetrics 6(4), 2012, pp. 566-579. Gagolewski M., Bibliometric Impact Assessment with R and the CITAN Package, Journal of Informetrics 5(4), 2011, pp. 678-692. Gagolewski M., Grzegorzewski P., A Geometric Approach to the Construction of Scientific Impact Indices, Scientometrics 81(3), 2009, pp. 617-634. Gagolewski M., Statistical Hypothesis Test for the Difference between Hirsch Indices of Two Pareto-Distributed Random Samples, In: Kruse R. et al (Eds.), Synergies of Soft Computing and Statistics for Intelligent Data Analysis (AISC 190), Springer-Verlag, Heidelberg, 2013, pp. 359-367. Gagolewski M., On the Relation Between Effort-Dominating and Symmetric Minitive Aggregation Operators, In: Greco S. et al (Eds.), Advances in Computational Intelligence, Part III (CCIS 299), Springer-Verlag, Heidelberg, 2012, pp. 276-285. Gagolewski M., Grzegorzewski P., Axiomatic Characterizations of (quasi-) L-statistics and S-statistics and the Producer Assessment Problem, In: Galichet S., Montero J., Mauris G. (Eds.), Proc. EUSFLAT/LFA 2011, Atlantic Press, 2011, pp. 53-58. Gagolewski M., Grzegorzewski P., S-Statistics and Their Basic Properties, In: Borgelt C. et al (Eds.), Combining Soft Computing and Statistical Methods in Data Analysis (AISC 77), Springer-Verlag, Heidelberg, 2010, pp. 281-288. Gagolewski M., Grzegorzewski P., Arity-Monotonic Extended Aggregation Operators, In: Hullermeier E., Kruse R., Hoffmann F. (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems (CCIS 80), Springer-Verlag, Heidelberg, 2010, pp. 693-702. Grabisch M., Marichal J.-L., Mesiar R., Pap E., Aggregation functions, Cambridge University Press, 2009. Hirsch J.E., An index to quantify individual's scientific research output, Proceedings of the National Academy of Sciences 102(46), 2005, pp. 16569-16572. Shilkret, N., Maxitive measure and integration, Indag. Math. 33, 1971, pp. 109-116. Yager R.R., On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems, Man, and Cybernetics 18(1), 1988, pp. 183-190.