Possibilistic residuated implication logics with applications

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 6, Issue 4, 1998, Pages 365-385

  Liau, Churn Jung ^a  

^a INSTITUTE OF INFORMATION SCIENCE   (Taiwan)

Author keywords

Default reasoning; Possibilistic reasoning; Possibility theory; Similarity based reasoning; t norms

Indexed keywords

EID: 1842828115     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488598000306     Document Type: Article

References (29)

1. C.J. Liau. "Possibilistic residuated implication logics and applications". In Proceedings of IPMU, pages 935-940, 1996.
2. J. Pearl. Probabilistic Reasoning in Intelligent Systems : Networks of Plausible Inference. Morgan Kaufmann Publisher, 1988.
3. G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, 1976.
4. D. Dubois and H. Prade. "An introduction to possibilistic and fuzzy logics". In P. Smets, A. Mamdani, D. Dubois, and H. Prade, editors, Non-Standard Logics for Automated Reasoning, pages 253-286. Academic Press, 1988.
5. D. Dubois, J. Lang, and H. Prade. "Fuzzy sets in approximate reasoning, Part 2: logical approaches". Fuzzy Sets and Systems, 40:203-244, 1991.
6. D. Dubois, J. Lang, and H. Prade. "Possibilistic logic". In D.M. Gabbay, C.J. Hogger, and J.A. Robinson, editors, Handbook of Logic in Artificial Intelligence and Logic Programming, Vol 3 : Nonmonotonic Reasoning and Uncertain Reasoning, pages 439-513. Clarendon Press - Oxford, 1994.
7. Z. Pawlak. Rough Sets - Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, 1991.
8. W. Łukaszewicz. Nonmonotonic Reasoning: Formalization of Commonsense Reasoning. Ellis Norwood, England, 1990.
9. G. Brewka. Nonmonotonic Reasoning: Logical Foundations of Commonsense. Cambridge University Press, Boston, 1991.
10. C.J. Liau and I.P. Lin. "Possibilistic Reasoning - A Mini-survey and Uniform Semantics". Artificial Intelligence, 88:163-193, 1996.
11. L.A. Zadeh. "Fuzzy sets as a basis for a theory of possibility". Fuzzy Sets and Systems, 1(1):3-28, 1978.
12. B.F. Chellas. Modal Logic : An Introduction. Cambridge University Press, 1980.
13. C.J. Liau and I.P. Lin. "Quantitative modal logic and possibilistic reasoning". In B. Neumann, editor, Proceedings of the 10th ECAI, pages 43-47. John Wiley & Sons. Ltd, 1992.
14. F. Esteva, P. Garcia, L. Godo, and R. Rodriguez. "A modal account of similarity-based reasoning". International Journal of Approximate Reasoning, 16:235-260, 1997.
15. L. Farinas del Cerro and A. Herzig. "A modal analysis of possibility theory". In R. Kruse and P. Siegel, editors, Proceedings of the 1st ECSQAU, LNAI 548, pages 58-62. Springer-Verlag, 1991.
16. E. Ruspini. "On the semantics of fuzzy logic". Int. J. of Approximate Reasoning, 5:45-88, 1991.
17. D. Dubois, F. Esteva, P. Garcia, L. Godo, and H. Prade. "Similarity-based consequence relations". In C. Froidevaux and J. Kohlas, editors, Symbolic and Quantitative Approaches to Uncertainty, LNAI 946. pages 171-179, Springer-Verlag, 1995.
18. D. Dubois, F. Esteva, P. Garcia, L. Godo, and H. Prade. "A logical approach to interpolation based on similarity relations". Int. J. of Approximate Reasoning, 17:1-36, 1997.
19. S. Benferhat, D. Dubois, and H. Prade. "Representing default rules in possibilistic logic". In B. Nebel, C. Rich, and W. Swartout, editors, Proceedings of the 3rd International Conference on Principle of Knowledge Representation and Reasoning, pages 673-684. Morgan Kaufmann, 1992.
20. L. Farinas del Cerro, A. Herzig, and J. Lang. "From ordering-based nonmonotonic reasoning to conditional logics". Artificial Intelligence, 66:375-393, 1994.
21. +: a formalism for reasoning with variable-strength defaults". In Proceedings of the 9th National Conference on Artificial Intelligence, pages 399-404. MIT Press, 1991.
22. F. Esteva, P. Garcia, L. Godo, and R. Rodriguez. "Approximate-based multi-modal systems and possibilistic logic: A comparative study". Mathware and Soft Computing, To appear, 1998.
23. M.C. Fitting. Proof Methods for Modal and Intuitionistic Logics , Vol.169 of Syntheses Library, D. Reidel Publishing Company, 1983.
24. L. Boldrin and C. Sossai. "An algebraic semantics for possibilistic logic". In Proceedings of the 11th International Conference on Uncertainty in Artificial Intelligence, pages 27-35. Morgan Kaufmann, 1995
25. L. Boldrin and C. Sossai. "Local possibilistic logic". Journal of Applied Non-classical Logic, 3:309-333, 1997.
26. F. Veltman. "Defaults in update semantics". Journal of Philosophical Logic, 25:221-261, 1996.
27. W.J.. Blok. "The lattice of modal algebras: An algebraic investigation". Journal of Symbolic Logic, 45:221-236, 1980.
28. P. Schroeder-Heister and K. Dosen. Substructural Logics. Oxford University Press, 1993.
29. P. Bison, G. Chemello, C. Sossai, and G. Trainito. "A syntactical approach to data fusion". In D. Gabbay et al. editors, First International Joint Conference on Qualitative and Quantitative Practical Reasoning, LNAI 1244, pages 58-70. Springer-Verlag, 1997.