Abstract
We deal the problem of aggregation of individual judgments for a global evaluation of a candidate or a product. In our theoretically oriented approach, aggregation operators are compared with each other based on their mathematical properties. We show that any monotone and strategy-proof operators is characterized by a particular collection of decision makers.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Alonso, S., Cabrerizo, F.J., Herrera-Viedmac, E., Herrera, F.H.: h-index: a review focused in its variants, computation and standardization for different scientific fields. J. Informetr. 3, 273–1289 (2009)
Balinski, M., Laraki, R.: A theory of measuring, electing and ranking. Proc. National Acad. Sci. U.S.A. 104, 8720–8725 (2007)
Balinski, M., Laraki, R.: Majority Judgement: Measuring, Ranking and Electing. MIT Press, Cambridge (2010)
Balinski, M., Laraki, R.: Judge: don’t vote! Ecole Polytechnique Centre National de la Recherche Scientifique, Cahier n 2010–27 (2010)
Couceiro, M., Marichal, J.-L.: Characterizations of discrete Sugeno integrals as lattice polynomial functions. In: Proceedings of the 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009), pp. 17–20 (2009)
Couceiro, M., Marichal, J.-L.: Representations and characterizations of polynomial functions on chains. J. Mult.-Valued Log. Soft Comput. 16(1–2), 65–86 (2010)
Couceiro, M., Marichal, J.-L.: Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Fuzzy Sets Syst. 161, 694–707 (2010)
Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions: Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge (2009)
Hirsch, J.E.: An index to quantify an individual’s scientific research output. Proc. National Acad. Sci. U.S.A. 102, 16569–16572 (2005)
Marchant, T.: Score-based bibliometric rankings of authors. J. Am. Soc. Inf. Sci. Technol. 60, 1132–1137 (2009)
Savaglio, E., Vannucci, S.: Strategy-proofness and single peakedness in bounded distributive lattices, mimeo. Cornell University Library (2014)
Sugeno, M.: Theory of fuzzy integrals and its applications. Ph.D. thesis, Tokyo Institute of Technology, Tokyo (1974)
Yamamoto, Y., Zhou, Y.: Characterization of anonymous, weakly monotonic and strategy-proof aggregation function. Discussion Paper 1310. University of Tsukuba, Department of Social Systems and Management (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Cardin, M., Giove, S. (2019). Grading by Committees: An Axiomatic Approach. In: Fullér, R., Giove, S., Masulli, F. (eds) Fuzzy Logic and Applications. WILF 2018. Lecture Notes in Computer Science(), vol 11291. Springer, Cham. https://doi.org/10.1007/978-3-030-12544-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-030-12544-8_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12543-1
Online ISBN: 978-3-030-12544-8
eBook Packages: Computer ScienceComputer Science (R0)