Degrees of truth, Ill-known sets and contradiction

Studies in Fuzziness and Soft Computing

Volumn 249, Issue , 2010, Pages 65-83

  Dubois, Didier ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 75749095574     PISSN: 14349922     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-10728-3_4     Document Type: Conference Paper

References (51)

1. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets & Syst. 20, 87-96 (1986)
2. Avron, A., Ben-Naim, J., Konikowska, B.: Processing Information from a Set of Sources. In:Makinson, D.,Malinowski, J.,Wansing, H. (eds.) Towards Mathematical Philosophy, vol.28, pp. 165-185 (2009)
3. Avron, A., Konikowska, B.: Rough Sets and 3-Valued Logics. Studia Logica 90(1), 69-92 (2008)
4. Avron, A., Lev, I.: Non-Deterministic Multiple-valued Structures. Journal of Logic and Computation 15, 241-261 (2005)
5. Banerjee, M.: Rough Sets and 3-Valued Łukasiewicz Logic. Fundamenta Informaticae 31(3/4), 213-220 (1997)
6. Banerjee, M., Dubois, D.: A simple modal logic for reasoning about revealed beliefs. In: ECSQARU 2009. LNCS (LNAI), vol.5590, pp. 805-816. Springer, Heidelberg (2009)
7. Banerjee, M., Chakraborty, M.K.: Rough Sets Through Algebraic Logic. Fundamenta Informaticae 28(3-4), 211-221 (1996) (Pubitemid 126715043)
8. Bellman, R.E., Zadeh, L.A.: Local and fuzzy logics. In: Dunn, J.M., Epstein, G. (eds.) Modern Uses of Multiple-Valued Logic, pp. 103-165. D. Reidel, Dordrecht (1977)
9. Belnap, N.D.: How a computer should think. In: Ryle, G. (ed.) Contemporary Aspects of Philosophy, pp. 30-56. Oriel Press (1977)
10. Belnap, N.D.: A useful four-valued logic. In: Dunn, J.M., Epstein, G. (eds.)Modern Uses of Multiple-Valued Logic. D.Reidel, Dordrecht (1977)
11. Blamey, S.: Partial Logic. In: Handbook of Philosophical Logic, vol.3, pp. 1-70. D. Reidel, Dordrecht (1985)
12. Bonikowski, Z.: A Certain Conception of the Calculus of Rough Sets. Notre Dame Journal of Formal Logic 33(3), 412-421 (1992)
13. Bustince, H., Burillo, P.: Vague sets are intuitionistic fuzzy sets. Fuzzy Sets & Syst. 79, 403-405 (1996)
14. De Cooman, G.: From possibilistic information to Kleene's strong multi-valued logics. In: Dubois, D., et al. (eds.) Fuzzy Sets, Logics and Reasoning about Knowledge. Kluwer Academic Publishers, Dordrecht (1999)
15. Deschrijver, G., Kerre, E.: On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Syst. 133, 227-235 (2004)
16. Deschrijver, G., Kerre, E.: Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets & Syst. 157, 622-627 (2006)
17. Dubois, D., H́ajek, P., Prade, H.: Knowledge-Driven versus data-driven logics. Journal of Logic, Language, and Information 9, 65-89 (2000)
18. Dubois, D.: On ignorance and contradiction considered as truth-values. Logic Journal of IGPL 16(2), 195-216 (2008)
19. Dubois, D., Prade, H.: Operations in a fuzzy-valued logic. Information & Control 43(2), 224-240 (1979)
20. Dubois, D., Prade, H.: Twofold fuzzy sets and rough sets-Some issues in knowledge representation. Fuzzy Sets & Syst. 23, 3-18 (1987)
21. Dubois, D., Prade, H.: Can we enforce full compositionality in uncertainty calculi? In: Proc. Nat. Conference on Artificial Intelligence (AAAI 1994), Seattle,WA, pp. 149-154 (1994)
22. Dubois, D., Prade, H.: Possibility theory, probability theory and multiple-valued logics: A clarification. Ann. Math. and AI 32, 35-66 (2001)
23. Dubois, D., Gottwald, S., Hajek, P., Kacprzyk, J., Prade, H.: Terminological difficulties in fuzzy set theory-The case of Intuitionistic Fuzzy Sets. Fuzzy Sets & Syst. 156, 485-491 (2005)
24. Dunn, J.M.: Intuitive semantics for first-degree entailment and coupled trees. Philosophical Studies 29, 149-168 (1976)
25. Elkan, C.: The paradoxical success of fuzzy logic. In: Proc. Nat. Conference on Artificial Intelligence (AAAI 1993), Washington, DC, pp. 698-703 (1993);
26. Extended version (with discussions): IEEE Expert 9(4), 2-49 (1994)
27. Fitting, M.: Bilattices and the Semantics of Logic Programming. J. Logic Programming 11(1-2), 91-116 (1991)
28. Fox, J.: Motivation and Demotivation of a Four-Valued Logic. Notre Dame Journal of Formal Logic 31(1), 76-80 (1990)
29. Ginsberg, M.L.: Multivalued logics: A uniform approach to inference in artificial intelligence. Computational Intelligence 4(3), 256-316 (1992)
30. Godo, L., H́ajek, P., Esteva, F.: A Fuzzy Modal Logic for Belief Functions. Fundamenta Informaticae 57(2-4), 127-146 (2003)
31. H́ajek, P., Godo, L., Esteva, F.: Fuzzy logic and probability. In: Proc. 11th Annual Conference on Uncertainty in Artificial Intelligence, Montreal, pp. 237-244. Morgan Kaufmann, San Francisco (1995)
32. Goguen, J.A.: L-fuzzy sets. J. Math. Anal. Appl. 8, 145-174 (1967)
33. Haehnle, R.: Proof Theory of Many-Valued Logic-Linear Optimization-Logic Design: Connections and Interactions. Soft Computing 1, 107-119 (1997)
34. H́ajek, P.: The Metamathematics of Fuzzy Logics. Kluwer Academic, Dordrecht (1998)
35. Iturrioz, L.: Rough sets and three-valued structures. In: Orlowska, E. (ed.) Logic atWork, pp. 596-603. Physica-Verlag, Heidelberg (1998)
36. Kleene, S.C.: Introduction to Metamathematics. North Holland, Amsterdam (1952)
37. Konieczny, S., Marquis, P., Besnard, P.: Bipolarity in bilattice logics. Int. J. Intelligent Syst. 23(10), 1046-1061 (2008)
38. Lehmke, S.: Logics which Allow Degrees of Truth and Degrees of Validity. PhD, Universit ät Dortmund, Germany (2001)
39. Aukasiewicz, J.: Philosophical remarks on many-valued systems of propositional logic (1930). In: Borkowski, J. (ed.) SelectedWorks, pp. 153-179. North-Holland, Amsterdam (1970)
40. Mendel, J.M.: Advances in type-2 fuzzy sets and systems. Information Sci. 177(1), 84-110 (2007)
41. Thijsse, E.G.C.: Partial Logic and Knowledge Representation. PhD thesis, University of Tilburg, The Netherlands (1992)
42. Urquhart, A.: Many-Valued Logic. In: Gabbay, D.M., Guenthner, F. (eds.) Handbook of Philosophical Logic. Alternatives to Classical Logic, vol.III, pp. 71-116. D.Reidel, Dordrecht (1986)
43. van Fraassen, B.C.: Singular Terms, Truth-value Gaps, and Free Logic. Journal of Philosophy 63, 481-495 (1966)
44. Van Gasse, B., Cornelis, C., Deschrijver, G., Kerre, E.E.: Triangle algebras: A formal logic approach to interval-valued residuated lattices. Fuzzy Sets & Syst. 159, 1042-1060 (2008)
45. Walker, C.L., Walker, E.A.: The algebra of fuzzy truth values. Fuzzy Sets & Syst. 149, 309-347 (2005)
46. Yao, Y.Y.: Interval-Set Algebra for Qualitative Knowledge Representation. In: Proc. Int. Conf. Computing and Information, pp. 370-374 (1993)
47. Yao, Y.Y.: A Comparative Study of Fuzzy Sets and Rough Sets. Information Sci. 109(1-4), 227-242 (1998)
48. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338-353 (1965)
49. Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets & Syst. 1, 3-28 (1978)
50. Zadeh, L.A.: Fuzzy Logic and approximate reasoning. Synthese 30, 407-428 (1975)
51. Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning-I. Information Sci. 8, 199-249 (1975)