Possibilistic analysis of arity-monotonic aggregation operators and its relation to bibliometric impact assessment of individuals

International Journal of Approximate Reasoning

Volumn 52, Issue 9, 2011, Pages 1312-1324

  Ga̧golewski, Marek ^a,b   Grzegorzewski, Przemysław ^a,b  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Aggregation operators; h index; OWMax; Possibility theory; S statistics

Indexed keywords

AGGREGATION OPERATOR; H INDICES; OWMAX; POSSIBILITY THEORY; S-STATISTICS;

INDEXING (OF INFORMATION); RATING;

MATHEMATICAL OPERATORS;

EID: 80955134174     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2011.01.010     Document Type: Conference Paper

References (40)

1. M. Grabisch, E. Pap, J.-L. Marichal, R. Mesiar, Aggregation Functions, Cambridge, 2009.
2. J.E. Hirsch An index to quantify individual's scientific research output PNAS 102 46 2005 16569 16572 (Pubitemid 41688817)
3. M. Ggolewski, and P. Grzegorzewski S-statistics and their basic properties C. Borgelt, Combining Soft Computing and Statistical Methods in Data Analysis 2010 Springer-Verlag 281 288
4. M. Ggolewski, and P. Grzegorzewski Arity-monotonic extended aggregation operators CCIS 80 2010 693 702
5. G. Mayor, T. Calvo, On extended aggregation functions, in: Proc. IFSA 1997, Vol. 1, Academia, Prague, 1997, pp. 281-285.
6. T. Calvo, A. Kolesarova, M. Komornikova, R. Mesiar, and Aggregation operators: Properties classes and construction methods T. Calvo, G. Mayor, R. Mesiar, Aggregation Operators. New Trends and Applications Studies in Fuzziness and Soft Computing Vol. 97 2002 Physica-Verlag New York 3 104
7. R.R. Yager On generalized Bonferroni mean operators for multi-criteria aggregation International Journal of Approximate Reasoning 50 2009 1279 1286
8. R.R. Yager On ordered weighted averaging aggregation operators in multictriteria decision making IEEE Trans. Systems, Man, and Cybernetics 18 1 1988 183 190
9. D. Dubois, H. Prade, and C. Testemale Weighted fuzzy pattern matching Fuzzy Sets and Systems 28 1988 313 331
10. D. Dubois, H. Prade, Formal representations of uncertainty, in: D. Bouyssou, D. Dubois, M. Pirlot, H. Prade (Eds.), Decision-making process, ISTE, London, UK, 2009, Ch. 3.
11. G.J. Klir, and B. Yuan Fuzzy sets and fuzzy logic. Theory and applications 1995 Prentice Hall PTR New Jersey
12. S. Destercke, D. Dubois, and E. Chojnacki Unifying practical uncertainty representations. I: Generalized p-boxes International Journal of Approximate Reasoning 49 3 2008 649 664
13. S. Destercke, D. Dubois, and E. Chojnacki Unifying practical uncertainty representations. II: Clouds International Journal of Approximate Reasoning 49 3 2008 664 677
14. D. Dubois, H. Prade, and P. Smets A definition of subjective possibility International Journal of Approximate Reasoning 48 2 2008 352 364 (Pubitemid 351602151)
15. G.J. Woeginger An axiomatic analysis of Egghe's g-index Journal of Informetrics 2 4 2008 364 368
16. G.J. Woeginger An axiomatic characterization of the Hirsch-index Mathematical Social Sciences 56 2 2008 224 232
17. T. Marchant An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors Scientometrics 80 2 2009 325 342
18. T. Marchant Score-based bibliometric rankings of authors Journal of the American Society for Information Science and Technology 60 6 2009 1132 1137
19. I. Palacios-Huerta, and O. Volij The measurement of intellectual influence Econometrica 72 3 2004 963 977
20. A. Quesada More axiomatics for the Hirsch index Scientometrics 82 2010 413 418
21. B. de Finetti Sul significato soggettivo della probabilitá Fundamenta Mathematicae 17 1931 298 329
22. J. von Neumann, and O. Morgenstern Theory of games and economic behavior 1947 Princeton University Press Princeton
23. K.J. Arrow A difficulty in the concept of social welfare Journal of Political Economy 58 4 1950 328 346
24. K.O. May A set of independent necessary and sufficient conditions for simple majority decision Econometrica 20 4 1952 680 684
25. T. Calvo, and G. Mayor Remarks on two types of extended aggregation functions Tatra Mountains Mathematical Publications 16 1999 235 253
26. B.S. Ahn Parameterized OWA operator weights: An extreme point approach International Journal of Approximate Reasoning 51 7 2010 820 831
27. T. Calvo, G. Mayor, J. Torrens, J. Suner, M. Mas, and M. Carbonell Generation of weighting triangles associated with aggregation functions Intl. J. Uncertainty, Fuzziness and Knowledge-based Systems 8 4 2000 417 451
28. P. Ball Index aims for fair ranking of scientists Nature 436 2005 900
29. S. Alonso, F.J. Cabrerizo, E. Herrera-Viedma, and F. Herrera h-index: A review focused on its variants, computation and standardization for different scientific fields Journal of Informetrics 3 2009 273 289
30. Y. Benjamini, and Y. Hochberg Controlling false discovery rate: A practical and powerful approach to multiple testing Journal of the Royal Statistical Society. Series B 57 1 1995 289 300
31. V. Torra, and Y. Narukawa The h-index and the number of citations: Two fuzzy integrals IEEE Transactions on Fuzzy Systems 16 3 2008 795 797
32. M. Franceschet A comparison of bibliometric indicators for computer science scholars and journals on Web of Science and Google Scholar Scientometrics 83 1 2010 243 258
33. E.S. Vieira, and J.A.N.F. Gomes A comparison of Scopus and Web of Science for a typical university Scientometrics 81 2 2009 587 600
34. E. Garfield, Can citation indexing be automated?, in: M.E. Stevens, V.E. Giuliano, L.B. Heilprin (Eds.), Proc. Statistical Association Methods for Mechanized Documentation, Washington, 1964, pp. 189-192.
35. L. Bornmann, and H.-D. Daniel What do citation counts measure? A review of studies on citing behavior Journal of Documentation 64 1 2008 45 80
36. P.M. Davis Reward or persuation? The battle to define the meaning of a citation Learned Publishing 21 2009 5 11
37. M. Ggolewski, and P. Grzegorzewski A geometric approach to the construction of scientific impact indices Scientometrics 81 3 2009 617 634
38. M. Ggolewski, P. Grzegorzewski, Possible and necessary h-indices, in: Proc. IFSA/Eusflat, 2009, pp. 1691-1695.
39. B.S. Ahn Preference relation approach for obtaining OWA operators weights International Journal of Approximate Reasoning 47 2 2008 166 178 (Pubitemid 350148249)
40. R.R. Yager Prioritized aggregation operators International Journal of Approximate Reasoning 48 1 2008 263 274