The logic of inexact concepts. (English) Zbl 0184.00903


03-XX Mathematical logic and foundations


general logic
Full Text: DOI


[1] R. Bellman, R. Kalaba, and L. A. Zadeh, ?Abstraction and Pattern Classification?, Journal of Mathematical Analysis and Applications 13 (1966) 1-7. · Zbl 0134.15305
[2] G. Birkhoff, Lattice Theory, AMS Colloquium Publications 25, 2nd edition, Providence, R.I., 1948.
[3] M. Black, ?Reasoning with Loose Concepts?, Dialogue 2 (1963) 1-12.
[4] M. Black, ?Vagueness?, Phil. of Science 4 (1937) 427-455.
[5] G. Boole, An Investigation into the Laws of Thought, London 1854 (reprinted as paperback by Open Court Publishing Co., Chicago, 1940).
[6] C. C. Chang and H. J. Keisler, Continuous Model Theory (Annals of Math. Studies 58), Princeton 1966. · Zbl 0149.00402
[7] P. J. Cohen, Set Theory and the Continuum Hypothesis, Benjamin Co., New York 1966. · Zbl 0182.01301
[8] P. J. Cohen, and R. Hirsch, ?Non-Cantorian Set Theory?, Scientific American, Dec. 1967, 104-116.
[9] C. H. Coombs, H. Raiffa, and R. M. Thrall, ?Some Views on Mathematical Models and Measurement Theory?, Psychol. Review 61 (1954) 132-144. · Zbl 0058.00403
[10] J. A. Goguen, ?L-fuzzy Sets?, Journal of Mathematical Analysis and Applications 18 (1967) 145-174. · Zbl 0145.24404
[11] J. A. Goguen, ?Categories of Fuzzy Sets: Applications of Non-Cantorian Set Theory?, Ph.D. dissertation, University of California at Berkeley, May 1968.
[12] J. A. Goguen, ?Representing Inexact Concepts?, in preparation.
[13] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, 4th edition, 1960. · Zbl 0086.25803
[14] J. Kelley, General Topology, Van Nostrand Co., Princeton 1955.
[15] S. K?rner, The Philosophy of Mathematics, Harper Torchbooks, New York 1960.
[16] R. C. Lyndon, Notes on Logic, Van Nostrand Mathematical Studies 6, Princeton 1966. · Zbl 0168.00301
[17] S. MacLane, ?Categorical Algebra?, Bull. Am. Math. Soc. 71 (1965) 40-106. · Zbl 0161.01601
[18] S. MacLane and G. Birkhoff, Algebra, Macmillan, New York 1968
[19] F. Perls, R. Hefferline, and P. Goodman, Gestalt Therapy, Dell Publishing Co., New York 1965.
[20] P. E. Rutherford, Introduction to Lattice Theory, Oliver and Boyd, London, 1965. · Zbl 0127.24904
[21] A. L. Samuel, ?Some Studies in Machine Learning Using the Game of Checkers?, IBM Journal of Research and Development 3 (1959) 211-229.
[22] A. L. Samuel, ?Some Studies in Machine Learning Using the Game of Checkers II?, IBM Journal of Research and Development 11 (1967) 601-617.
[23] D. Scott and R. Solovay, Boolean Valued Models for Set Theories, to appear.
[24] P. Suppes and J. G. Zinnes, ?Basic Measurement Theory?, in Handbook of Mathematical Psychology, Vol. I (ed. by Luce, Bush, and Galanter), Wiley, New York 1963, pp. 1-76.
[25] A. Watts, The Book, Collier Books, New York 1966.
[26] L. A. Zadeh, ?Fuzzy Sets?, Information and Control 8 (1965) 338-353. · Zbl 0139.24606
[27] L. A. Zadeh, ?Fuzzy Sets and Systems?, Proceedings of a Symposium on Systems Theory, Polytechnic Press of Polytechnic Institute of Brooklyn, New York 1965, pp. 29-37.
[28] L. A. Zadeh, ?Optimality and Non-Scalar-Valued Performance Criteria?, IEEE Transactions on Automatic Control, AC-8 (1963) 315-316.
[29] L. A. Zadeh, ?Fuzzy Algorithms?, Information and Control 12 (1968) 94-102. · Zbl 0182.33301
[30] L. A. Zadeh, ?Probability Measures of Fuzzy Events?, to appear in Journal of Mathematical Analysis and Applications. · Zbl 0174.49002
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