A scaling method for priorities in hierarchical structures. (English) Zbl 0372.62084

Saaty, Thomas L.

J. Math. Psychol. 15, 234-281 (1977).

MSC:

62P15	Applications of statistics to psychology
62C99	Statistical decision theory

References:

[1]	Alexander, J.M; Saaty, T.L, The forward and backward processes of conflict analysis, Behavioral science, (1977, March)
[2]	Anderson, N.H, Information integration theory: a brief survey, ()
[3]	Cliff, N, Complete orders from incomplete data: interactive ordering and tailored testing, Psychological bulletin, 82, No. 2, 289-302, (1975)
[4]	Coombs, C.H, A theory of data, (1964), Wiley New York/London/Sydney · Zbl 0217.27902
[5]	Eckart, C; Young, G, The approximation of one matrix by another of lower rank, Psychometrika, 1, No. 3, 211-218, (1936) · JFM 62.1075.02
[6]	Gantmacher, F.R; Gantmacher, F.R, The theory of matrices, The theory of matrices, Vol. II, 60, (1960), New York: Chelsea · Zbl 0088.25103
[7]	Guilford, J.P, The method of paired comparisons as a psychometric method, Psychological review, 35, 494-506, (1928)
[8]	Hammond, K.R; Summers, D.A, Cognitive dependence on linear and nonlinear cues, Psychological review, 72, No. 3, 215-224, (1965)
[9]	Hotelling, H; Hotelling, H, Analysis of a complex of statistical variables into principal components, Journal of educational psychology, Journal of educational psychology, 24, 498-520, (1933) · JFM 59.1182.04
[10]	Johnson, R.M, On a theorem stated by Eckart and Young, Psychometrika, 28, No. 3, 259-263, (Sept. 1963)
[11]	Keller, J.B, Miscellanea, factorization of matrices by least-squares, Biometrika, 49, 1 and 2, 239-242, (1962) · Zbl 0106.34402
[12]	Krantz, D.H, A theory of magnitude estimation and cross modality matchings, Journal of mathematical psychology, 9, 168-199, (1972) · Zbl 0236.92009
[13]	Krantz, D.H, Fundamental measurement of force and Newton’s first and second laws of motion, Philosophy of science, 40, No. 4, 481-495, (Dec. 1973)
[14]	Luce, R.D; Suppes, P, Preference, utility and subjective probability, Handbook of mathematical psychology, Vol. III, (1964)
[15]	Marshall, C.W, Applied graph theory, (1971), Wiley-Interscience New York · Zbl 0226.05101
[16]	Miller, G.A, The magical number seven plus or minus two: some limits on our capacity for processing information, The psychological review, 63, 81-97, (March 1956)
[17]	Moroney, J.J, Facts from figures, (1968), Penguin Baltimore · Zbl 0044.14202
[18]	()
[19]	Saaty, T.L, Hierarchies and priorities-eigenvalue analysis, (1975), University of Pennsylvania
[20]	Saaty, T.L; Khouja, M, A measure of world influence, Peace science, (June 1976)
[21]	Saaty, T.L; Rogers, P.C, The future of higher education in the united states (1985-2000), Socio-economic planning sciences, 10, No. 6, 251-264, (Dec. 1976)
[22]	Shepard, R.N, A taxonomy of some principal types of data and of multidimensional methods for their analysis, (), 21-47
[23]	Simon, H.A; Ando, A, Aggregation of variables in dynamic systems, Econometrica, 29, No. 2, 111-138, (April 1961)
[24]	Simon, H.A, The architecture of complexity, (), 467-482 · Zbl 1088.68611
[25]	Stevens, S, Measurement, psychophysics, and utility, ()
[26]	Stevens, S; Galanter, E, Ratio scales and category scales for a dozen perceptual continua, Journal of experimental psychology, 54, 377-411, (1964)
[27]	Suppes, P; Zinnes, J.L, Basic measurement theory, ()
[28]	Thurstone, L.L, A law of comparative judgment, Psychological review, 34, 273-286, (1927)
[29]	Torgerson, W.S, Theory and methods of scaling, (1958), Wiley New York
[30]	Tucker, L.R, Determination of parameters of a functional relation by factor analysis, Psychometrika, 23, No. 1, (March 1958)
[31]	Weiss, P.A, Hierarchically organized systems in theory and practice, (1971), Hafner New York
[32]	()
[33]	Wielandt, H, Unzerlegbare, nicht negative matrizen, Mathematische zeitschrift, 52, 642-648, (1950) · Zbl 0035.29101
[34]	Wilkinson, J.J, The algebraic eigenvalue problem, (1965), Oxford Univ. Press (Clarendon) London, Chap. 2 · Zbl 0258.65037