ALEKS - Assessment and Learning

Selected Bibliography of Dr. Falmagne

Stochastic Models for Choice Reaction Time with Application to Experimental Results. J.-Cl. Falmagne, Journal of Mathematical Psychology, 2(1), 1965, 77-124.

Note on a Simple Property of Binary Mixtures. J.-Cl. Falmagne, British Journal of Mathematical and Statistical Psychology, 21(1), 1968, 131-132.

Composite Measurement. A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 6(3), 1969, 359-390.

Bounded Versions of Holder's Theorem with Application to Extensive Measurement. J.-Cl. Falmagne, Journal of Mathematical Psychology, 8(4), 1971, 495-507.

Biscalability of Error Matrices and All or None Reaction Time Theories. J.-Cl. Falmagne, Journal of Mathematical Psychology, 9(2), 1972, 206-224.

Sufficient Conditions for an Ordered Ring Isomorphism onto a Positive Subinterval: A Lemma for Polynomial Measurement. J.-Cl. Falmagne, Journal of Mathematical Psychology, 10(3), 1973, 290-295.

Foundations of Fechnerian Psychophysics. J.-Cl. Falmagne, In: Contemporary Developments in Mathematical Psychology Vol.II, Measurement, Psychophysics and Neural Information Processing. Eds. D.H. Krantz, R.C. Atkinson, R.D. Luce and P. Suppes. San Francisco: Freeman, 1974.

Difference Measurement and Simple Scalability with Restricted Solvability. J.-P. Doignon and J.-Cl. Falmagne, Journal of Mathematical Psychology, 11(4), 1974, 473-499.

A Set of Independent Axioms for Positive Holder Systems. J.-Cl. Falmagne, Philosophy of Science, 42(2), 1975, 137-151.

Two-Choice Reactions as an Ordered Memory Scanning Process. J.-Cl. Falmagne, S.P. Cohen and A. Dwivedi, In: Attention and Performance V Eds. P. Rabbit and S. Dornic. New York: Academic Press, 1975, 296-344.

Random Conjoint Measurement and Loudness Summation. J.-Cl. Falmagne, Psychology Review, 83(1), 1976, 65-79.

A Representation Theorem for Finite Random Scale Systems. J.-Cl. Falmagne, Journal of Mathematical Psychology, 18, 1978, 52-72.

Binaural Loudness Summation: Probabilistic Theory and Data. J.-Cl. Falmagne, G. Iverson and S. Marcovici, Psychology Review, 86(1), 1979, 25-43.

On a Class of Probabilistic Conjoint Measurement Models: Some Diagnostic Properties. J.-Cl. Falmagne, Journal of Mathematical Psychology, 19(2), 1979, 73-88.

Conjoint Weber's Law and Additivity. J.-Cl. Falmagne and G. Iverson, Journal of Mathematical Psychology, 20(2), 1979, 164-183.

A Probabilistic Theory of Extensive Measurement. J.-Cl. Falmagne, Philosophy of Science, 47, 1980, 277-296.

On a Recurrent Misuse of Classic Functional Equation Result. J.-Cl. Falmagne, Journal of Mathematical Psychology, 23, 1981, 190-193.

Psychometric Functions Theory. J.-Cl. Falmagne, Journal of Mathematical Psychology, 25(1), 1982, 1-50.

Scales and Meaningfulness of Quantitative Laws. J.-Cl. Falmagne and L. Narens, Synthese, 54, 1983, 287-325.

A Random Utility Model for a Belief Function. J.-Cl. Falmagne, Synthese, 57, 1983, 17-30.

Matching Relations and the Dimensional Structure of Social Choices. J.-P. Doignon and J.-Cl. Falmagne, Mathematical Social Sciences, 7, 1984, 211-229.

On Realizable Biorders and the Biorder Dimension of a Relation. J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 28(1), 1984, 73-109.

Elements of Psychophysical Theory. J.-Cl. Falmagne. New York: Clarendon Press, Oxford University Press, 1985.

Statistical Issues in Measurement. G. Iverson and J.-Cl. Falmagne, Mathematical Social Sciences, 10(2), 1985, 131-153.

Spaces for the Assessment of Knowledge. J.-P. Doignon and J.-Cl. Falmagne, International Journal of Man-Machine Studies, 23, 1985, 175-196.

Psychophysical Measurement and Theory. J.-Cl. Falmagne, In: Handbook of Perception and Human Performance, Eds. K. Boff, L. Kaufman and J. Thomas. New York: John Wiley, 1986.

Languages for the Assessment of Knowledge. E. Degreef, J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 30(3), 1986, 243-256.

On the Separation of two Relations by a Biorder or Semiorder. J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Mathematical Social Sciences, 11(3), 1987, 1-18.

Parametrization of Knowledge Structures. J.-P. Doignon and J.-Cl. Falmagne, Discrete Applied Mathematics, 21 1988, 87-100.

A Class of Stochastic Procedures for the Assessment of Knowledge. J.-Cl. Falmagne and J.-P. Doignon, The British Journal of Mathematical and Statistical Psychology, 1988, 1-23.

A Markovian Procedure for Assessing the State of a System. J.-Cl. Falmagne and J.-P. Doignon, Journal of Mathematical Psychology, 3, 1988, 232-258.

A Latent Trait Theory via Stochastic Learning Theory for a Knowledge Space. J.-Cl. Falmagne, Psychometrika, 54(2), 1989, 283-303.

Introduction to Knowledge Spaces: How to Build, Test and Search Them. J.-Cl. Falmagne, M. Koppen, M. Villano, J.-P. Doignon and L. Johannesen, Psychological Review, 97(2), 1990, 201-224.

Random Utility Representation of Choice Probability: A New Class of Necessary Conditions. Michael Cohen and J.-Cl. Falmagne, Journal of Mathematical Psychology, 34(1), 1990, 88-94.

Mathematical Psychology: Current Developments. J.-P. Doignon and J.-Cl. Falmagne (Eds.), Springer-Verlag: New York, 1991.

Uniqueness in Attribute Weigthing, and in Representation of Qualitative Probabilities. J.-P. Doignon and J.-Cl. Falmagne, In: Mathematical Psychology: Current Developments, J.-P. Doignon and J.-Cl. Falmagne (Eds.). New York: Springer-Verlag, 1991.

Bisector Spaces: Geometry for Triadic Data. J.-Cl. Falmagne and J.-P. Doignon, In: Mathematical Psychology: Current Developments. J.-P. Doignon and J.-Cl. Falmagne (Eds.) New York: Springer-Verlag, 1991.

Stochastic Learning Paths in Knowledge Structures. J.-Cl. Falmagne, Journal of Mathematical Psychology 37(4), 1993, 489-512.

Representations and Models in Psychology. P. Suppes, M. Pavel and J.-Cl. Falmagne, Annual Review of Psychology, 45, 1994, 517-544.

A Polynomial Time Algorithm for Unidimensional Unfolding Representations. J.-P. Doignon and J.-Cl. Falmagne, Journal of Algorithms, 16, 1994, 218-233.

Finite Markov Learning Models for Knowledge Structures. J.-Cl. Falmagne, In: Contributions to Mathematical Psychology, Psychometrics, and Methodology. G.H. Fischer and D. Laming (Eds.), New York: Springer Verlag, 1994.

Knowledge Assessment: Tapping Human Expertise by the QUERY Routine. M. Kambouri, M. Koppen, M. Villano and J.-Cl. Falmagne, International Journal for Human-Computer Studies, 40, 1994, 119-151.

The Monks' Vote: A Dialogue on Unidimensional Probabilistic Geometry. J.-Cl. Falmagne, In: Patrick Suppes, Scientific Philosopher, Paul Humphreys (Ed.). Kluwer Academic, 1994.

Mesurage, Modeles Mathematiques et Psychophysique. J.-Cl. Falmagne, In: Traite de Psychologie Experimentale, M. N. Richelle, M. Robert, and J. Requin (Eds.), Paris: Presses Universitaires de France, 1994.

On the Interpretation of the Exponent in the `Near-Miss-to-Weber's-Law. J.-Cl. Falmagne, Journal of Mathematical Psychology, 38(4), 1994, 497-503.

Random Utility Models for Approval Voting. J.-Cl. Falmagne and M. Regenwetter, Journal of Mathematical Psychology, 40(2), 1996, 152-159.

Technical Note: Errata to SLP. J.-Cl. Falmagne, Journal of Mathematical Psychology, 40(2),1996, 169-174, 497-503.

A Stochastic Theory for the Emergence and the Evolution of Preference Structures. J.-Cl. Falmagne, Mathematical Social Sciences, 31, 1996, 63-84.

Well Graded Families of Relations. J.-P. Doignon and J.-Cl. Falmagne, Discrete Mathematics, 133, 1997, 35-44.

Stochastic Evolution of Rationality. J.-Cl. Falmagne and J.-P. Doignon, Theory and Decision, 43, 1997, 107-138.

Stochastic Token Theory. J.-Cl. Falmagne, Journal of Mathematical Psychology, 41(2) 1997, 129-143.

A Stochastic Model for the Evolution of Preferences. J.-Cl. Falmagne, M. Regenwetter and B. Grofman, in Choice, decision and Measurement: Essays in the Honor of R. Duncan Luce, A.A.J. Marley (Ed.), Mahwah, New Jersey: Erlbaum, 1997.

Meshing Knowledge Structures. J.-.Cl. Falmagne and J.-P. Doignon, in Recent Progress in Mathematical Psychology, C. Dowling, F. Roberts, and P. Theuns (Eds.), Mahwah, New Jersey: Erlbaum, 1998.

Knowledge Spaces. J.-P. Doignon and J.-Cl. Falmagne, Berlin: Springer, 1999.

A Stochastic Model of Preference Changes and its Application to 1992 Presidential Election Panel Data. M. Regenwetter, J.-Cl. Falmagne and B. Grofman, Psychological Review, 2 1999, 362-384.

Consistency of Monomial and Difference Representations of functions Arising from Empirical Phenomena. J. Aczel and J.Cl. Falmagne, Journal of Mathematical Analysis and Applications, 234(2) 1999, 632-659.

Combinatoric and Geometric Aspect of Some Probabilistic Choice Models---A Review. J.-P. Doignon, J.-Cl. Falmagne and M. Regenwetter, in FUR VIII VOLUME, Mark J. Machina and Bertrand Munier (Eds.), Kluwer Academic, in press.

Patrick Suppes---Scientific Philosopher and Mathematical Psychologist. J.-Cl. Falmagne, in The Encyclopedia of Psychology, E.Kazdin (Ed.), New York: Oxford University Press, in press.

Compatibility of Gain-Control and Power Law Representations. J.-Cl. Falmagne and A. Lundberg, Aequationes Mathematicae, 58 1999, 1-10.