Linked bibliography for the SEP article "Fuzzy Logic" by Petr Hajek |
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
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- Baaz, M., Hajek, P., Montagna, F., and Veith, H. (2002), “Complexity of t-tautologies”, Annals of Pure and Applied Logic, 113: 3–11. (Scholar)
- Cignoli, R., D'Ottaviano, I., and Mundici, D. (2000a), Algebraic foundations of many-valued reasoning, Dordrecht: Kluwer. (Scholar)
- Cignoli, R., Esteva, F., Godo, L., and Torrens, A. (2000b), “Basic logic is the logic of continuous t-norms and their residua”, Soft Computing, 4: 106–112. (Scholar)
- Cintula, P. (2001), “The LΠ and LΠ1/2 propositional and predicate logics”, Fuzzy Sets and Systems, 124 (3): 21–34. (Scholar)
- Cintula, P. (2003), “Advances in LΠ and LΠ1/2 logics”, Arch. Math. Logic, 42: 449–468. (Scholar)
- Cintula P., (2006), “Weakly implicative logics I — basic properties”, Arch. Math. Logic, 45(6): 673–704. (Scholar)
- Cintula P., and Hajek, P. (2009), “Complexity issues in axiomatic extensions of Łukasiewicz logic”, J. Log. Comput., 12: 245–260. (Scholar)
- Cintula P., and Hajek, P. (2010), “On theories and models in fuzzy predicate logics”, Journal of Symbolic Logic, 71(3): 863–880. (Scholar)
- Cintula P., and Hajek, P. (2010a), “Triangular norm based predicate fuzzy logics”, Fuzzy sets and systems, 161: 311–346. (Scholar)
- di Nola, A., Georgescu, G., and Iorgulescu, A. (2002), “Pseudo-BL algebras I, II”, J. Multiple-valued Logic, 8: 671–750. (Scholar)
- Driankov, D., Hellendorf, H., and Reinfrank, M. (1993), An introduction to fuzzy control, Berlin: Springer-Verlag. (Scholar)
- Esteva, F., and Godo, L. (1999), “Putting together Łukasiewicz and product logic”, Mathware and Soft Computing, 6: 219–234. (Scholar)
- Esteva, F., and Godo, L. (2001), “Monoidal t-norm based logic”, Fuzzy Sets and Systems, 124: 271–288. (Scholar)
- Esteva, F., Godo, L., Hajek, P., and Navara, M. (2000), “Residuated fuzzy logics with an involutive negation”, Archive for Math. Log., 39: 103–124. (Scholar)
- Esteva, F., Godo, L., and Noguera, C. (2006), “On rational weak nilpotent minimum logics”, J. Multiple-valued Logic and Soft Computing, 12(1): 9–32. (Scholar)
- Esteva F., Godo L., and Noguera C. (2009), “First-order t-norm based fuzzy logics with truth-constants: Distinguished semantics and completeness properties”, Annals of Pure and Applied Logic, 161(2): 185–202. (Scholar)
- Fermüller C. G. (2003), “Theories of vagueness versus fuzzy logic: can logicians learn from philosophers?”, Neural Network World, 13: 455–465. (Scholar)
- Goguen, J. A. (1968–69), “The logic of inexact concepts”, Synthese, 19: 325–373. (Scholar)
- Gottwald, S. (2001), A treatise on many-valued logic, Baldock: Research Studies Press.
- Gottwald, S., and Hajek, P. (2005), “Triangular norm-based mathematical fuzzy logics”, in Klement and Mesiar (eds.), Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms, Amsterdam: Elsevier, pp. 275–300 (Scholar)
- Grim, P., Mar, G., and St. Denis, P. (1992), The philosophical computer, Cambridge, MA: MIT Press. (Scholar)
- Hajek, P. (1998), Metamathematics of fuzzy logic, Dordrecht: Kluwer. (Scholar)
- Hajek, P. (2000), “Fuzzy predicate calculus and fuzzy rules”, in Da Ruan and Kerre (eds.), Fuzzy IF-THEN rules in computational intelligence, Dordrecht: Kluwer, pp. 27–36. (Scholar)
- Hajek, P. (2003), “Observations on non-commutative fuzzy logic”, Soft Computing 8: 28-43. (Scholar)
- Hajek, P. (2005), “Arithmetical complexity of fuzzy logic — a survey”, Soft Computing 9: 935–941. (Scholar)
- Hajek P. (2005b), On arithmetic in Cantor-Lukasiewicz fuzzy set theory. Archive for Mathematical Logic, 44 (6): 763–782. (Scholar)
- Hajek P. (2009a), “On vagueness, truth values and fuzzy logics”, Studia Logica, 91 (3): 367–382. (Scholar)
- Hajek P., and Novak V. (2003), “The sorites paradox and fuzzy logic”, International Journal of General Systems, 32: 373–383. (Scholar)
- Hajek, P., Paris, J., and Shepherdson, J. (2000), “The liar paradox and fuzzy logic”, Journal of Symbolic Logic, 65: 339–346. (Scholar)
- Hajek P., and Hanikova Z. (2003), “A development of set theory in fuzzy logic”, in Melvin Chris Fitting and Ewa Orlowska (eds.), Beyond Two: Theory and Applications of Multiple-Valued Logic (Studies in Fuzziness and Soft Computing: Volume 114), Heidelberg: Physica-Verlag, pages 273–285.
- Hanikova, Z. (2002), “A note on the complexity of propositional logics of individual t-algebras”, Neural Network World, 21: 453–460.
- Horcik, R. (2005), “Standard completeness of ΠMTL”, Arch. Math. Logic, 44: 413–424. (Scholar)
- Horcik, R., and Citula, P. (2004), “Product Łukasiewicz logic”, Arch. Math. Logic, 43: 447–503. (Scholar)
- Jenei, S., and Montagna, F. (2002), “A proof of standard completeness for Esteva and Godo's logic MTL”, Studia Logica, 70: 183–192. (Scholar)
- Jenei, S. and Montagna, F. (2003), “A proof of standard completeness for non-commutative monoidal t-norm logic”, Neural Network world, 13: 481–489.
- Klement, E.P., Mesiar, R., and Pap, E. (2000), Triangular norms, Dordrecht: Kluwer. (Scholar)
- Klir, G.J., and Yuan, B., (1996), (eds.), Fuzzy sets, fuzzy logic and fuzzy system: Selected papers by Lotfi A. Zadeh, Singapore: World Scientific.
- Metcalfe G., Olivetti N., and Gabbay D.M. (2008), Proof Theory for Fuzzy Logics (Applied Logic Series: Volume 36), Berlin: Springer. (Scholar)
- Montagna, F. (2001), “Three complexity problems in quantified fuzzy logic”, Studia Logica, 68: 143–152. (Scholar)
- Montagna, F. (2005), “On the predicate logics of continuous t-norm BL-algebras”, Arch. Math. Logic, 44: 97–114. (Scholar)
- Montagna, F., and Noguera C. (2010), “Arithmetical complexity of first-order predicate fuzzy logics over distinguished semantics”, Journal of Logic and Computation, 20: 399–424. (Scholar)
- Nguyen, H.T., and Walker, E. (1999), First course in fuzzy logic, Boca Raton: Chapman & Hall/CRC Press, second edition. (Scholar)
- Novak, V. (1989), Fuzzy sets and their applications, Bristol: Adam Hilger. (Scholar)
- Novak, V., Perfilieva, I., and Mockor, J. (2000), Mathematical principles of fuzzy logic, Dordrecht: Kluwer. (Scholar)
- Pavelka, J., (1979), “On fuzzy logic I, II, III”, Zeitschrift fur Math. Logik und Grundlagen der Math, 25: 45–52, 119–134, 447–464. (Scholar)
- Turunen, E. (1999), Mathematics behind fuzzy logic (Advances in Soft Computing), Heidelberg: Physica Verlag. (Scholar)
- Savicky, P., Cignoli R., Esteva F., and Godo L. (2006), “On product logic with truth constants”, Journal of Logic and Computation, 16(2): 205–225. (Scholar)
- Shapiro, S. (2006), Vagueness in Context, Oxford: Oxford University Press. (Scholar)
- Smith, N.J.J. (2008), Vagueness and truth degrees Oxford: Oxford University Press. (Scholar)
- White, R.B. (1979), “The consistency of the axiom of comprehension in the infinite-valued predicate logic of Łukasiewicz”, Journal of Philosophical Logic, 8: 509–534. (Scholar)
- Yatabe, S. (2005), “Note on Hajek, Paris and Shepherdson's theorem”, Logic Journal of the Interest Group of Pure and Applied Logic, 13: 261–266. (Scholar)
- Yatabe, S. (2007), “Distinguishing non-standard natural numbers in a set theory within Łukasiewicz logic”, Archive for Mathematical Logic, 46: 281–287. (Scholar)
- Yatabe, S. (2009), “Comprehension contradicts to the induction within Łukasiewicz predicate logic”, Archive for Mathematical Logic, 48: 265–269. (Scholar)
- Zadeh, L. (1965), “Fuzzy sets”, Information and Control, 8: 338–353. (Scholar)
- Zadeh, L. (1994), “Preface”, in R. J. Marks II (ed.), Fuzzy logic technology and applications, IEEE Publications. (Scholar)
- Zimmermann, H.-J. (1991), Fuzzy set theory and its applications, Dordrecht: Kluwer, second edition. (Scholar)
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