Measurement representations of ordered, relational structures with archimedean ordered translations

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1. Alper, T.M., "A note on real measurement structures of scale type (m,m+1)", Journal of Mathematical Psychology, 29 (1985), 73-81. Zbl0602.92022MR793867
2. Alper, T.M., "A classification of all order-preserving homeomorphism groups of the reals that satisfy finite uniqueness", Journal of Mathematical Psychology, 31 (1987) , 135-154. Zbl0626.06018MR900065
3. Cameron, P.J., Groups of order-automorphisms of the rationals with prescribed scale type. Unpublished manuscript (1987). 
4. Cohen, M. & Narens, L., "Fundamental unit structures : a theory of ratio scalability", Journal of Mathematical Psychology, 20 (1979), 193-232. Zbl0422.92029MR558151
5. Falmagne, J.-C., Elements of Psychophysical Theory, New York, Oxford University Press, 1985. MR802072
6. Falmagne, J.-C. & Narens, L., "Scales and meaningfulness of quantitative laws", Synthese, 55 (1983), 287-325. Zbl0521.92027MR716481
7. Fuchs, L., Partially Ordered Algebraic Systems, Reading, MA, Addison-Wesley and Oxford, Pergamon Press, 1963. Zbl0137.02001MR171864
8. Glass, A.M.W., Ordered Permutation Groups, LondonMathematical Society Lecture Notes Series, 55, Cambridge, Cambridge University Press, 1981. Zbl0473.06010MR645351
9. Hölder, O., "Die Axioms der Quantität und die Lehre vom Mass", Ber. Verh. Kgl. Sächsis. Ges. Wiss. Leipzig, Math. -Phys. Classe, 53 (1901), 1-64. Zbl32.0079.01JFM32.0079.01
10. Krantz, D.H., Luce, R.D., Suppes, P. & Tversky A., Foundations of Measurement, Vol. I, New York, Academic Press, 1971. Zbl0232.02040MR459067
11. Luce, R.D., "Dimensionally invariant numerical laws correspond to meaningful qualitative relations", Philosophy of Science, 45 (1978), 1-16. MR489405
12. Luce, R.D., "Uniqueness and homogeneity of ordered relational structures", Journal o f Mathematical Psychology, 30 (1986) , 391-415. Zbl0603.06010MR868772
13. Luce, R.D., Measurement structures with Archimedean ordered translation groups, Order, 4 (1987) , 165-189. Zbl0629.08001MR916493
14. Luce, R.D., Krantz, D.H., Suppes, P. & Tversky, A., Foundations of Measurement, Vol. III, in press. Zbl0749.03001MR459067
15. Luce, R.D. & Narens, L., "Classification of concatenation measurement structures according to scale type", Journal of Mathematical Psychology, 29 (1985), 1-72. Zbl0578.92028MR793866
16. Luce, R.D. & Narens, L., "Measurement scales on the continuum", Science, 236 (1987) , 1527-1532. Zbl1226.91049MR893168
17. Luce, R.D. & Narens, L., "Intrinsic Archimedeaness and the continuum", in C.W. Savage & P. Ehrlich (eds.), The Nature and Purpose of Measurement, in press. Zbl1226.91049
18. Narens, L., "Utility-uncertainty tradeoff structures", Journal of Mathematical Psychology, 13 (1976), 296-322. Zbl0351.92029MR418941
19. Narens, L., "A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness", Theory and Decision, 13 (1981a), 1-70. Zbl0497.00021MR612005
20. Narens, L., "On the scales of measurement", Journal of Mathematical Psychology, 24 (1981b), 249-275. Zbl0496.92020MR653091
21. Narens, L., Abstract Measurement Theory, Cambridge, MA, MIT Press, 1985. Zbl0607.00021MR776041
22. Narens L. & Luce, R.D., "The algebra of measurement", Journal of Pure and Applied Algebra, 8 (1976), 197-233. Zbl0359.06028MR465299
23. Narens, L. & Luce, R.D., "Measurement : The theory of numerical assignments", Psychological Bulletin, 99 (1986) , 166-180. 
24. Roberts, F.S., Measurement Theory, Vol. 7, Encyclopedia of Mathematics and its Applications, Reading, MA, Addison Wesley, 1979. Zbl0432.92001MR551364
25. Stevens, S.S., "On the theory of scales of measurement", Science, 103 (1946), 677-680. Zbl1226.91050
26. Stevens, S.S., "Mathematics, measurement and psychophysics", in S.S. Stevens (ed.) Handbook of Experimental Psychology, New York, Wiley, 1951, pp. 1-49. 

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