A suggested conditional Modus Ponens

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 5, Issue 1, 1997, Pages 93-106

  Vincent, Nicole ^a   Dujet, Christiane ^b  

^a UNIVERSITÉ DE TOURS   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Conditional formulae; Force implication; Fuzzy logic; Generalized modus ponens

Indexed keywords

EID: 3042903987     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488597000087     Document Type: Article

References (21)

1. L.A. Zadeh, "A theory of approximate reasoning" in Machine Intelligence, eds. I.E. Hayes and al. (John Wiley and Sons, New York, 1979).
2. L.A. Zadeh, "The role of fuzzy logic in the management of uncertainty in expert systems", Fuzzy Sets and Systems 11 (North-Holland, 1983) 199-227.
3. B. Bouchon-Meunier, La logique Floue et ses Applications (Addison-Wesley, France, 1995).
4. D. Dubois, J. Lang and H. Prade, "Fuzzy sets in approximate reasoning Part 2 : Logical Approaches", Fuzzy Sets and Systems 4(1) (North-Holland, 1991) 203-245.
5. L.O. Hall, "The choice of Ply-operator in fuzzy intelligent systems", Fuzzy Sets and Systems 34 (North-Holland, 1988) 135-144.
6. E. Hisdal, "Interpretation of grades of membership", Fuzzy Sets and Systems 25(5) (North-Holland, 1988) 271-279.
7. D. Dubois and H. Prade, "Conditioning, non monotonic logic and non standard uncertainty models" in Conditional Logic in Expert System, eds. I.R. Goodman, M.M. Gupta, H.T. Nguyen, G.S. Roerss (North-Holland, Amsterdam, 1991) pp.115-158.
8. H.T. Nguyen and P. Smets, "On dynamics of cautious belief and conditional objects", Int. J. of Approximate Reasoning 8(2) (1993) 89-104.
9. B. Bouchon-Meunier, La logique floue, Coll. Que sais-je ? 2702 (PUF, France, 1993).
10. M. Cayrol, H. Farreny and H. Prade, "Fuzzy Pattern Matching", Kybernetes 11 (1982) 103-116.
11. P. Smets, E.H. Mamdani, D. Dubois and H. Prade, Non Standard logics for automated reasoning, (Academic Press, 1988).
12. Ch. Dujet and N. Vincent, "Force Implication : a new approach to human reasoning", Fuzzy Sets and Systems 69 (North-Holland, 1995) 53-63.
13. N. Vincent and Ch. Dujet, "Modus ponens and Inference in Control", Proc. Fifth International Conference on Information Processing and Management of Uncertainty in knowledge-based Systems (IPMU), Paris, France, July 1994, pp. 102-107.
14. E.H. Mamdani and S. Assilian, "A case study on the application of fuzzy set theory to automatic control", Proc. IFAC Stochastic Control Symp., Budapest, 1974.
15. U. Hohle, "Fuzzy equalities and Indistinguishability", Proc. First European Congress on Fuzzy and Intelligent Technologies, Aachen, Deutschland, Sept. 1993, pp. 358-363.
16. A. Thayse Approche logique de l'Intelligence Artificielle, (Donod, Paris, 1989).
17. D. Dubois and H. Prade, Théorie des possibilités : applications à la représentation des connaissances en informatique, (Masson, Paris, 1985).
18. L. Scharwtz, Théorie des distributions, (Hermann, Paris, 1965).
19. I.R. Goodman, H.T. Nguyen and E.A. Walker, Conditional Inference and Logic for Intelligent Systems : a Theory of Measure-Free Conditioning, (North-Holland, Amsterdam, 1991).
20. M.M. Gupta and J. Qi, "T-Norms and fuzzy inference", Fuzzy Sets and Systems 40(3) (North-Holland, 1991) 431-450.
21. L. Foulloy, "Typologie des contrôleurs flous", Rapport de Recherche, Université de Chambéry, France, 1993.