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Abstrakty
We propose a research program for developing a formal framework for ranking procedures based on the Pairwise Comparisons method. We are interested in the case where relatively few items are to be ranked with a complex procedure and according to a large number of criteria. A typical example of this scenario is a competition where several companies bid for a contract, and where the selection of the winner is done with multiple criteria according to an intricate selection procedure. Several other applications are suggested.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
223--240
Opis fizyczny
Bibliogr. 36 poz., tab., wykr.
Twórcy
autor
- Toronto, Canada
autor
- Dept. of Computer Science, California State University Channel Islands, One University Drive, Camarillo, CA 93012, USA.
Bibliografia
- [1] Kakiashvili T, Koczkodaj WW, Woodbury-Smith M. Improving the medical scale predictability by the pairwise comparisons method: evidence from a clinical data study. Comput Methods Programs Biomed. 2012;105(3):210–216. doi:10.1016/j.cmpb.2011.09.011.
- [2] Soltys M. Fair Ranking in Competitive Bidding Procurement: A Case Analysis. In: 18th International Conference in Knowledge Based and Intelligent Information and Engineering Systems, KES 2014, Gdynia, Poland, 15-17 September 2014. vol. 35; 2014. p. 1138–1144. Available from: http://dx.doi.org/10.1016/j.procs.2014.08.207. doi:10.1016/j.procs.2014.08.207.
- [3] Easley D, Kleinberg J. Networks, crowds, and markets: reasoning about a highly connected world. Cambridge University Press New York; 2010. ISBN:0521195330, 9780521195331.
- [4] Koczkodaj WW, Kułakowski K, Ligęza A. On the quality evaluation of scientific entities in Poland supported by consistency-driven pairwise comparisons method. Scientometrics. 2014;99(3):911–926. doi:10.1007/s11192-014-1258-y.
- [5] Brin S, Page L. The anatomy of a large-scale hypertextual web search engine. In: Proceedings of the seventh international conference on World Wide Web 7. vol. 30. Elsevier Science Publishers B. V. Amsterdam, The Netherlands, The Netherlands; 1998. p. 107–117. doi:10.1016/S0169-7552(98)00110-X.
- [6] Bozóki S, Rapcsák T. On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices. Journal of Global Optimization. 200; 42(2):157–175. doi:10.1007/s10898-007-9236-z.
- [7] Cowan N. The magical number 4 in short-term memory: A reconsideration of mental storage capacity. Behavioral and Brain Sciences. 2001;24(1):87–114. PMID:11515286.
- [8] David HA. The method of paired comparisons. London: C. Griffin; New York: Oxford University Press; 1988. ISBN: 10:0852642903.
- [9] Ranking with partial orders and pairwise comparisons. vol. 5009 of Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2008. doi:10.1007/978-3-540-79721-0 61.
- [10] Koczkodaj WW. A new definition of consistency of pairwise comparisons. Mathematical and Computer Modelling. 1993;18(7):79–84. doi:10.1016/0895-7177(93)90059-8.
- [11] Saaty TL. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology. 1977;15(3):234–281. doi:10.1016/0022-2496(77)90033-5.
- [12] Hoare CAR. An axiomatic basis for computer programming. Communications of the ACM. 1969;12(10): 576–580. doi:10.1145/363235.363259.
- [13] Soltys M, Cook S. The proof complexity of linear algebra. Annals of Pure and Applied Logic. 2004;130(1-3):207–275. doi:10.1016/j.apal.2003.10.018.
- [14] Worthington RC. Legal obligations for public purchasers. Worthington and Associates Ltd., May, 2002; 2012.
- [15] Request for proposals for private security services for the 2015 Pan Am Parapan Am games. 2013;ID:PV.DP.ON.725805.C82153.
- [16] Brennan RJ. NDP wants probe of Pan Am security contract that went to U.S. firm. The Toronto Star. 2014.
- [17] Brennan RJ. NDP wants $81-million Pan Am security contract under microscope. The Hamilton Spectator. 2014;.
- [18] Brennan RJ. Auditor general to audit Pan Am Games security contract. The Toronto Star. 2014;Available from: http://on.thestar.com/1eedu02.
- [19] Kari S. Ontario Auditor-General to audit Pan Am contracts. Globe and Mail. 2014.
- [20] CONDORCET Md. Essai sur l’application de l’analyse ‘a la probabilit´e des d´ecisions rendues à la pluralité des vois. Paris, Imprimerie Royale; 1785.
- [21] Thurstone LL. A law of comparative judgement. Psychological Review. 1927; 34(4):278–286. Available from: http://dx.doi.org/10.1037/h0070288.
- [22] Dyer JS. Remarks on the analytic hierarchy process. Journal Management Science. 1990;36(6):249–258. doi:10.1287/mnsc.36.3.249.
- [23] Janicki R. Approximations of arbitrary relations by partial orders: Classical and rough set models.. vol. 6499 of Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2011. doi:10.1007/978-3-642-18302-7 2.
- [24] Janicki R, Zhai Y. Remarks on pairwise comparison numerical and non-numerical rankings. vol. 6954 of Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2011. doi:10.1007/978-3-642-24425-4 39.
- [25] van Vliet H. Software Engineering: Principles and Practice. Wiley; 2 edition (August 30, 2000); 2000. ISBN-10:0471975087, 13:978-0471975083.
- [26] Soltys M. An introduction to the analysis of algorithms. World Scientific Publishing Company; 2 edition; 2012. ISBN-10: 020140009X, 13: 978-0201400090.
- [27] Shustek L. Interview - An interview with C.A.R. Hoare. Communications of the ACM. 2009;52(3):38–41. doi:Interview - An interview with C.A.R. Hoare.
- [28] Cook S, Soltys M. Boolean programs and quantified propositional proof systems. Bulletin of the Section of Logic. 1999;28(3):119–129.
- [29] Soltys M. Berkowitz’s algorithm and clow sequences. Electronic Journal of Linear Algebra. 2002;9:42–54. Available from: http://dx.doi.org/10.13001/1081-3810.1072.
- [30] Soltys M. LA, permutations, and the Haj´os calculus. Theoretical Computer Science. 2005;348(2-3):321–333. doi:10.1007/978-3-540-27836-8 97.
- [31] Soltys M. Feasible proofs of matrix properties with Csanky’s algoritm. In: Computer Science Logic. vol. 3634 of Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2005. p. 493–508. doi:10.1007/11538363 34.
- [32] Soltys M. Feasible proofs of Szpilrajn’s theorem: a proof-complexity framework for concurrent automata. Journal of Automata, Languages and Combinatorics (JALC). 2011;16(1):27–38.
- [33] Fülöp J. A method for approximating pairwise comparison matrices by consistent matrices. Journal of Global Optimization. 2008;42(3):423–442. doi:10.1007/s10898-008-9303-0.
- [34] B Thoms NG, Ryan T. The design and evaluation of a peer ratings system for online learning communities. 2010;p. 1–10. ISBN: 978-0-7695-3869-3. doi:10.1109/HICSS.2010.370.
- [35] Beatty J, Wiegers K. Software Requirements. 3 edition. Microsoft Press; 2013. ISBN: 10:0735679665.
- [36] Pawlak Z. Rough sets. International Journal of Computer & Information Sciences. 1982;11(5):341–356. doi:10.1007/BF01001956.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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