Czasopismo
2016
|
Vol. 144, nr 3/4
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241--254
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper examines two main possibilities of pairwise comparisons analysis: first, pairwise comparisons within a lattice, in this case these comparisons can be measurable by numbers; second, comparisons beyond any lattice, in this case these comparisons cannot be measurable in principle. We show that the first approach to pairwise comparisons analysis is based on the conventional square of opposition and its generalization, but the second approach is based on unconventional squares of opposition. Furthermore, the first approach corresponds to lateral inhibition in transmission signals and the second approach corresponds to lateral activation in transmission signals.
Czasopismo
Rocznik
Tom
Strony
241--254
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
- University of Information Technology and Management in Rzeszów, Sucharskiego 2, 35-225 Rzeszów, Poland, andrew.schumann@gmail.com
autor
- University of Information Technology and Management in Rzeszów, Sucharskiego 2, 35-225 Rzeszów, Poland
Bibliografia
- [1] Fechner GT. Elements of psychophysics. vol. 1. Holt, Rinehart and Winston; 1966.
- [2] Thurstone LL. A law of comparative judgment, reprint of an original work published in 1927. Psychological Review. 1994;101(2):266–270. Available from: http://dx.doi.org/10.1037/0033-295X.101.2.266.
- [3] Kułakowski K. A heuristic rating estimation algorithm for the pairwise comparisons method. Central European Journal of Operations Research. 2015;23(1):187–203. doi:10.1007/s10100-013-0311-x.
- [4] Kułakowski K. On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method. Fundamentae Informaticae. 2015;139(4):403–419. doi:10.3233/FI-2015-1240.
- [5] Saaty TL. Relative measurement and its generalization in decision making. Why pairwise comparisons are central in mathematics for the measurement of intangible factors. The analytic hierarchy/network process. RACSAM - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales Serie A Matematicas. 2008;102(2):251–318. doi:10.1007/BF03191825.
- [6] Chu ATW, Kalaba RE, Spingarn K. A comparison of two methods for determining the weight belonging to fuzzy sets. Journal of Optimization Theory and Applications. 1979;27(4):531–538. doi:10.1007/BF00933438.
- [7] Koczkodaj WW, Herman MW, Orlowski M. Using consistency-driven pairwise comparisons in knowledge-based systems. In: Golshani MKe Forouzan, editor. Proceedings of the Sixth International Conference on Information and Knowledge Management CIKM97. CIKM - ACM International Conference on Information and Knowledge Management. Las Vegas, Nevada: ACM Press; 1997. p. 91–96. ISBN:0-89791-970-X. doi:10.1145/266714.266867.
- [8] Ailon N. An active learning algorithm for ranking from pairwise preferences with an almost optimal query complexity. Journal of Machine Learning Research. 2012;13(1):137–164. Available from: http://dblp.uni-trier.de/db/journals/jmlr/jmlr13.html#Ailon12.
- [9] Negahban S, Oh S, Shah D. Iterative ranking from pair-wise comparisons. In: Bartlett P, c n Pereira F, j c Burges C, Bottou L, q Weinberger K, editors. Advances in Neural Information Processing Systems 25. MIT Press; 2012. p. 2483–2491. Available from: http://books.nips.cc/papers/files/nips25/NIPS2012_1196.pdf.
- [10] Gass SI, Standard SM. Characteristics of positive reciprocal matrices in the analytic hierarchy process. Journal of Operational Research Society. 2002;53(12):1385–1389. Available from: http://www.jstor.org/stable/822729.
- [11] Peláez JI, Lamata MT. A new measure of consistency for positive reciprocal matrices. Computers and Mathematics with Applications. 2003;46(12):1839–1845. doi:10.1016/S0898-1221(03)90240-9.
- [12] David HA. The method of paired comparisons. London: C.Griffin; New York: Oxford University Press; 1988. ISBN: 10:0852642903.
- [13] Jones JD. Towards Lateral Inhibition and Collective Perception in Unorganised Non-Neural Systems. In: Pancerz K, ) EZE, editors. Computational Intelligence, Medicine and Biology. Selected Links. vol. 600 of Studies in Computational Intelligence. Springer International Publishing; 2015. p. 103–122. Available from: http://www.springer.com/gb/book/9783319168432. doi:10.1007/978-3-319-16844-9 6.
- [14] Schumann A. On Two Squares of Opposition: the Leśniewski’s Style Formalization of Synthetic Propositions. Acta Analytica. 2013;28(1):71–93. doi:10.1007/s12136-012-0162-4.
- [15] Schumann A, Akimowa L. Syllogistic System for the Propagation of Parasites. The Case of Schistosomatidae (Trematoda: Digenea). Studies in Logic, Grammar and Rhetoric. 2015;40(53):303–319. doi:10.1515/slgr-2015-0015.
- [16] Woleński J. Applications of Squares of Oppositions and Their Applications in Philosophical Analysis. Logica Universalis. 2008;2(1):13–29. doi:10.1007/s11787-007-0028-5.
- [17] Bull RA, Segerberg K. Basic Modal Logic. vol. 165 of Synthese Library. Springer Netherlands; 1984. doi:10.1007/978-94-009-6259-0 1.
- [18] Kripke SA. A Completeness Theorem in Modal Logic. Journal of Symbolic Logic. 1959;24(1):1–14. doi:10.2307/2964568.
- [19] Jamieson KG, Nowak R. Active ranking using pairwise comparisons. In: Shawe-Taylor J, s Zemel R, Bartlett P, c n Pereira F, q Weinberger K, editors. Advances in Neural Information Processing Systems 24; 2011. p. 2240–2248. Available from: http://books.nips.cc/papers/files/nips24/NIPS2011_1231.pdf.
- [20] Narens L. Theories of meaningfulness. Scientific Psychology Series. Lawrence Erlbaum Associates; 1 edition; 2001. ISBN-10:0805840451, 13:978-0805840452.
- [21] Woleński J. In: Essays on Logic and its Applications in Philosophy. vol. 3 of Polish Contemporary Philosophy and Philosophical Humanities. Peter Lang; 2011. p. 255–269. SBN: 978-3-631-60666-7 hb. Available from: http://dx.doi.org/10.1037/0033-295X.101.2.266.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-94f12e2b-aa74-48e6-9e54-306bbd0d2fc9