Bulletin of the American Mathematical Society

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Book Information

Author(s): 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

1.: 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), 946-951.
2.: R. E. Bellman, Some vistas of modern mathematics, Univ. of Kentucky Press, Lexington, Kentucky, 1968.
3.: R. Carnap, Logical foundations of probability, second ed., Univ. of Chicago Press, Chicago, 1962. MR 184839
4.: J. C. Cole, Categories of sets and models of set theory (J. Bell and A. Slomson (eds. )), Proc. Bertrand Russell Mem. Logic Conf., Uldum, 1971; Leeds, 1973, pp. 351-399. MR 357116
5.: T. L. Fine, Theories of probability, Academic Press, New York, 1973. MR 433529
6.: M. P. Fourman, C. J. Mulvey and D. S. Scott (eds. ), Applications of sheaves. Lecture Notes in Math., vol. 753, Springer-Verlag, Berlin and New York, 1979. MR 555538
7.: 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).
8.: R. Goldblatt, Topoi: The categorial analysis of logic, North-Holland, Amsterdam, 1979. MR 551362
9.: J. M. Jauch, Foundations of quantum mechanics, Addison-Wesley, Reading, Mass., 1968. MR 218062
10.: P. T. Johnstone, Topos theory, Academic Press, New York, 1977. MR 470019
11.: D. E. Knuth, The art of computer programming, Vol. 2: Seminumerical Algorithms, Addison-Wesley, Reading, Mass., 1969. MR 378456
12.: A. Kock, Taylor series calculus for ring objects of line type, J. Pure Appl. Algebra 12 (1978), 271-293. MR 501073
13.: A. Kolmogoroff, On tables of random numbers, Sankhyā Ser. A (1963), 369-376. MR 178484
14.: F. W. Lawvere, Variable quantities and variable structures in topoi, Algebra, Topology and Category Theory, Academic Press, New York, 1976, pp. 101-131. MR 419232
15.: 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), 1-21.
16.: M. Machtey and P. Young, An Introduction to the theory of algorithms, North-Holland, Amsterdam, 1978. MR 483344
17.: E. G. Manes, Book Review, SIAM Review 23 (1981), 271-273.
18.: E. G. Manes, A class of fuzzy theories, J. Math. Anal. Appl. (to appear). MR 649184
19.: E. G. Manes, Variable set theories, Mathematical Intelligencer (to appear).
20.: W. Mitchell, Boolean topoi and the theory of sets, J. Pure Appl. Algebra 2 (1972), 261-274. MR 319757

Review Information:
Journal: Bull. Amer. Math. Soc. 7 (1982), 603-612.
DOI: 10.1090/S0273-0979-1982-15067-4
PII: S 0273-0979(1982)15067-4

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS