Book Review
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MathSciNet review: 1567386
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Book Information:
Authors: Didier Dubois and Henri Prade
Title: Fuzzy sets and systems: Theory and applications
Additional book information: Mathematics in Science and Engineering, vol. 144, Academic Press, New York, 1980, xvii + 393 pp., $49.50.
 Rudolf Carnap, Logical foundations of probability, 2nd ed., The University of Chicago Press, Chicago, Ill., 1962. MR 0184839
 J. C. Cole, Categories of sets and models of set theory, The Proceedings of the Bertrand Russell Memorial Conference (Uldum, 1971), Bertrand Russell Memorial Logic Conf., Leeds, 1973, pp. 351–399. MR 0357116
 Terrence L. Fine, Theories of probability: an examination of foundations, Academic Press, New YorkLondon, 1973. MR 0433529
 Michael P. Fourman, Christopher J. Mulvey, and Dana S. Scott (eds.), Applications of sheaves, Lecture Notes in Mathematics, vol. 753, Springer, Berlin, 1979. MR 555538 I. R. Goodman, Fuzzy sets as equivalence classes of random sets, Recent Developments in Fuzzy Set and Possibility Theory (R. R. Yager (ed. )), Pergamon Press, New York (to appear).
 Robert I. Goldblatt, Topoi, Studies in Logic and the Foundations of Mathematics, vol. 98, NorthHolland Publishing Co., AmsterdamNew York, 1979. The categorical analysis of logic. MR 551362
 Josef M. Jauch, Foundations of quantum mechanics, AddisonWesley Publishing Co., Reading, Mass.LondonDon Mills, Ont., 1968. MR 0218062
 P. T. Johnstone, Topos theory, Academic Press [Harcourt Brace Jovanovich, Publishers], LondonNew York, 1977. London Mathematical Society Monographs, Vol. 10. MR 0470019
 Donald E. Knuth, The art of computer programming, 2nd ed., AddisonWesley Publishing Co., Reading, Mass.LondonAmsterdam, 1975. Volume 1: Fundamental algorithms; AddisonWesley Series in Computer Science and Information Processing. MR 0378456
 Anders Kock, Taylor series calculus for ring objects of line type, J. Pure Appl. Algebra 12 (1978), no. 3, 271–293. MR 501073, DOI https://doi.org/10.1016/00224049%2887%29900065
 A. N. Kolmogorov, On tables of random numbers, Sankhyā Ser. A 25 (1963), 369–376. MR 178484
 F. William Lawvere, Variable quantities and variable structures in topoi, Algebra, topology, and category theory (a collection of papers in honor of Samuel Eilenberg), Academic Press, New York, 1976, pp. 101–131. MR 0419232 J. Łukasiewicz and A. Tarski, Untersuchen über den Aussagenkalkül, Comptes Rendus des Séances de la Société des Sciences et des Lettres, Warsaw, classe III, 23 (1930), 121.
 Michael Machtey and Paul Young, An introduction to the general theory of algorithms, NorthHolland, New YorkOxfordShannon, 1978. Computer Science Library—Theory of Computation Series. MR 483344 E. G. Manes, Book Review, SIAM Review 23 (1981), 271273.
 Ernest G. Manes, A class of fuzzy theories, J. Math. Anal. Appl. 85 (1982), no. 2, 409–451. MR 649184, DOI https://doi.org/10.1016/0022247X%2882%29900105 E. G. Manes, Variable set theories, Mathematical Intelligencer (to appear).
 William Mitchell, Boolean topoi and the theory of sets, J. Pure Appl. Algebra 2 (1972), 261–274. MR 319757, DOI https://doi.org/10.1016/00224049%2872%29900060

M. A. Arbib, Review of "Fuzzy sets and their applications to cognitive and decision processes ", edited by L. A. Zadeh, K. S. Fu, K. Tanaka and M. Shimura; Introduction to the theory of fuzzy subsets. Volume I, by A. Kaufmann; Applications of fuzzy sets to systems analysis, by C. V. Negoifi and D. A. Ralescu, Bull. Amer. Math. Soc. 83 (1977), 946951.
R. E. Bellman, Some vistas of modern mathematics, Univ. of Kentucky Press, Lexington, Kentucky, 1968.
Review Information:
Reviewer: E. G. Manes
Journal: Bull. Amer. Math. Soc. 7 (1982), 603612
DOI: https://doi.org/10.1090/S027309791982150674