Vagueness and blurry sets

Journal of Philosophical Logic

Volumn 33, Issue 2, 2004, Pages 165-235

  Smith, Nicholas J J ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

Blurry sets; Degree functions; Degrees of truth; Fuzzy logic; Fuzzy sets; Higher order vagueness; Logic; Sorites paradox; Truth; Type n fuzzy logic; Vagueness

Indexed keywords

EID: 40049096099     PISSN: 00223611     EISSN: 15730433     Source Type: Journal    
DOI: 10.1023/B:LOGI.0000021717.26376.3f     Document Type: Article

References (31)

1. Barker, J., 1998: The inconsistency theory of truth, Ph.D. thesis, Department of Philosophy, Princeton University.
2. Cantor, G., 1915: Contributions to the Founding of the Theory of Transfinite Numbers, Dover, New York. Translated by Philip E. B. Jourdain.
3. Copeland, B. J., 1997: Vague identity and fuzzy logic, J. Philos. 94, 514-534.
4. Dubois, D. and Prade, H., 1980: Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York.
5. Fine, K., 1975: Vagueness, truth and logic, in (Keefe and Smith, 1997), pp. 119-150.
6. Hisdal, E., 1981: The IF THEN ELSE statement and interval-valued fuzzy sets of higher type, Internat. J. Man-Machine Studies 15, 385-455.
7. Islam, A., 1996: The abstract and the concrete, Typescript.
8. John, R., 1998: Type 2 fuzzy sets: An appraisal of theory and applications, Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems 6, 563-576.
9. Karnik, N. N., Mendel, J. M. and Liang, Q., 1999: Type-2 fuzzy logic systems, IEEE Trans. on Fuzzy Systems 7, 643-658.
10. Keefe, R., 2000: Theories of Vagueness, Cambridge University Press, Cambridge.
11. Keefe, R. and Smith, P. (eds.), 1997: Vagueness: A Reader, MIT Press, Cambridge MA.
12. Kleene, S. C., 1952: Introduction to Metamathematics, D. Van Nostrand, Princeton.
13. Klir, G. J. and Yuan, B., 1995: Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, Upper Saddle River, NJ.
14. Kripke, S., 1975: Outline of a theory of truth, J. Philos. 72, 690-716.
15. Liang, Q. and Mendel, J. M., 2000: Interval type-2 fuzzy logic systems: Theory and design, IEEE Trans. on Fuzzy Systems 8, 535-550.
16. Mizumoto, M. and Tanaka, K., 1976a: Fuzzy-fuzzy automata, Kybernetes 5, 107-112.
17. Mizumoto, M. and Tanaka, K., 1976b: Some properties of fuzzy sets of type 2, Inform. and Control 31, 312-340.
18. Mizumoto, M. and Tanaka, K., 1981: Fuzzy sets of type 2 under algebraic product and algebraic sum, Fuzzy Sets and Systems 5, 277-290.
19. Nguyen, H. T. and Walker, E. A., 2000: A First Course in Fuzzy Logic, 2nd edn, Chapman & Hall/CRC, Boca Raton.
20. Nieminen, J., 1977: On the algebraic structure of fuzzy sets of type-2, Kybernetika 13.
21. Rosen, G. and Smith, N. J. J., 2004: Worldly indeterminacy: A rough guide, Australasian J. Philos. 82(1).
22. Smith, N. J. J., 2001: Vagueness, Ph.D. thesis, Department of Philosophy, Princeton University. UMI ProQuest Digital Dissertations no. AAT 3021982 (http://wwwlib.umi.com/dissertations/fullcit/3021982).
23. Smith, N. J. J., 2003: Vagueness and degrees of truth, forthcoming.
24. Visser, A., 1989: Semantics and the Liar paradox, in D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. IV, D. Reidel Publishing Company, pp. 617-706.
25. Williamson, T., 1992: Vagueness and ignorance, in (Keefe and Smith, 1997), pp. 265-280.
26. Williamson, T., 1994: Vagueness, Routledge, London.
27. Wright, C., 1987: Further reflections on the Sorites paradox, Philos. Topics 15, 227-290.
28. Yager, R. R., 1980: Fuzzy subsets of Type II in decisions, J. Cybernet. 10, 137-159.
29. Yager, R. R., 1984: Fuzzy subsets with uncertain membership grades, IEEE Trans. Systems Man Cybernet. 14, 271-275.
30. Zadeh, L. A., 1975a: The concept of a linguistic variable and its application to approximate reasoning - I, II, III, Inform. Sci. 8-9, 199-249, 301-357, 43-80.
31. Zadeh, L. A., 1975b: Fuzzy logic and approximate reasoning, Synthese 30, 407-428.