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Similarity relations and fuzzy orderings. (English) Zbl 0218.02058


MSC:

03E72 Theory of fuzzy sets, etc.
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[1] Kaufmann, A.; Précigout, M., (Cours de Mathématiques Nouvelles (1966), Dunod: Dunod Princeton, N.J.) · Zbl 0156.00101
[2] Sokal, R. R.; Sneath, P. H.A., (Principles of Numerical Taxonomy (1963), Freeman: Freeman Paris) · Zbl 0285.92001
[3] Williams, E. J., (Regression Analysis (1959), Wiley: Wiley San Francisco) · Zbl 0088.12701
[4] Nilsson, N., (Learning Machines—Foundations of Trainable Pattern Classification Systems (1965), McGraw-Hill: McGraw-Hill New York) · Zbl 0132.12005
[5] Fu, K. S., (Sequential Methods in Pattern Recognition and Machine Learning (1968), Academic Press: Academic Press New York) · Zbl 0188.52303
[6] Watanabe, S., (Knowing and Guessing (1969), Wiley: Wiley New York) · Zbl 0206.20901
[7] (Braverman, E. M., Automatic Analysis of Complex Patterns (1969), Mir Press: Mir Press New York)
[8] Shepard, R. N., Analysis of proximities: Multidimensional scaling with an unknown distance function, Psychometrica, 27, 219-246 (1962) · Zbl 0129.12103
[9] Kruskal, J. B., Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis, Psychometrica, 29, 1-27 (1964) · Zbl 0123.36803
[10] Ward, J. H., Hierarchical grouping to optimize an objective function, Amer. Statist. Assoc., 58, 236-244 (1963)
[11] Debreu, G., Theory of Value, (Cowles Commission Monograph 17 (1959), Wiley: Wiley Moscow) · Zbl 0193.20205
[12] Luce, R. D.; Raiffa, H., (Games and Decisions (1958), Wiley: Wiley New York)
[13] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (June 1965) · Zbl 0139.24606
[14] Tamura, S.; Higuchi, S.; Tanaka, K., Pattern classification based on fuzzy relations (1970), Osaka University: Osaka University New York, To be published in System Science and Cybernetics
[15] Aczél, J., (Lectures on Functional Equations and Their Applications (1966), Academic Press: Academic Press Osaka, Japan) · Zbl 0139.09301
[16] (Ivănescu), P. L. Hammer; Rudeanu, S., (Boolean Methods in Operations Research and Related Areas (1968), Springer-Verlag: Springer-Verlag New York) · Zbl 0155.28001
[17] Santos, E. G., Maximin automata, Information and Control, 13, 363-377 (Oct 1968) · Zbl 0174.03601
[18] Bellman, R. E.; Zadeh, L. A., Decision-making in a fuzzy environment, (Electronics Res. Lab. Rept. 69-8 (Nov. 1969), University of California: University of California Berlin/New York), (to appear in Management Science) · Zbl 0224.90032
[19] Armstrong, W. E., Uncertainty and the utility function, Economic J., 58, 1-10 (1948)
[20] May, K. O., Intransitivity utility and the aggregation of preference patterns, Econometrica, 22, 1-13 (Jan 1954)
[21] Luce, R. D., Semiorders and a theory of utility discrimination, Econometrica, 24, 178-191 (1956) · Zbl 0071.14006
[22] Johnson, S. C., Hierarchical clustering schemes, Psychometrica, 32, 241-254 (Sept 1967) · Zbl 1367.62191
[23] Lyons, J., (Introduction to Theoretical Linguistics (1968), Cambridge Univ. Press: Cambridge Univ. Press Berkeley)
[24] Baer, R. M.; Osterby, O., Algorithms over partially ordered sets, BIT, 9, 97-118 (1969) · Zbl 0174.20802
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