Dealing with uncertainty and imprecision by means of fuzzy numbers

International Journal of Approximate Reasoning

Volumn 21, Issue 3, 1999, Pages 233-256

  Gonzalez, A ^a   Pons, O ^a   Vila, M A ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Fuzzy number; Implication function; Imprecision; Information function; Uncertainty

Indexed keywords

EID: 0013345005     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(99)00024-9     Document Type: Article

References (17)

1. G. Bordogna, G. Pasi, Management of linguistic qualification of uncertainty in a fuzzy database, in: Proceedings of IPMU'98, Seventh International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Paris, France, 1998, pp. 435-442.
2. Z. Cao, D. Park, A. Kandel, Investigations on the applicability of fuzzy inference, Fuzzy Sets and Systems 49 (1992) 151-169.
3. J.L. Castro, J.J. Castro, J.M. Zurita, The influence of implication functions in fuzzy logic controllers with defuzzification first and aggregation after, in: Seventh IFSA World Congress, Prague, 1997, pp. 237-242.
4. M. Delgado, J.L. Verdegay, M.A. Vila, On valuation and optimization problems in fuzzy graphs: A general approach and some particular cases, ORSA Journal on Computing 2 (1990) 74-83.
5. M. Delgado, M.A. Vila, W. Voxman, On a canonical representation of fuzzy numbers, Fuzzy Sets and Systems 93 (1998) 125-135.
6. D. Dubois, Modeles mathematiques de l'imprecis et de l'incertain en vue d'applications aux techniques d'aide a la decision, Ph.D thesis, Université Scientifique et Médicale de Grenoble, 1983.
7. D. Dubois, H. Prade, Fuzzy numbers, an overview, in: Bezdek (Ed.), The Analysis of Fuzzy Information, CRS Press, Boca Raton, 1985.
8. D. Dubois, H. Prade, Possibility Theory, Plenum Press, New York, 1985.
9. D. Dubois, H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems 24 (1987) 279-300.
10. J.A. Goguen, L-fuzzy sets, Journal of Mathematical Analalysis and Applications 18 (1967) 145-174.
11. A. Gonzalez, Métodos Subjetivos para la Comparación de Números Difusos, Ph.D thesis, Granada University, 1987.
12. A. Gonzalez, A study of the ranking function approach through mean values, Fuzzy Sets and Systems 35 (1990) 29-41.
13. Kampé de Feriét, J. La theorie generaliseé de l'information et le mesure subjetive de l'information, in: Kampé de Fèriet, C.F. Picard (Eds.), Lecture notes in Math: Théories de l'information, vol. 398, Springer, Berlin, 1973, pp. 1-28.
14. O. Pons, J.C. Cubero, A. Gonzalez, M.A. Vila, Uncertain fuzzy values still in the framework of first order logic, in: Proceedings of Second International Workshop on Logic Programming and Soft Computing: Theory and Applications, Manchester, UK, 1989.
15. E. Trillas, L. Valverde, On implication and indistinguishability in the setting of fuzzy logic, J. Kacpryzk, R.R. Yager (Eds.), Management Decision Support Sytems using Fuzzy Sets and Possibility Theory, Verlag TUV Rheinlan, 1985, pp. 189-212.
16. R.R. Yager, Measurement of properties on fuzzy sets and possibility distributions, E.P. Klement (Ed.), Proceedings of the Third International Seminar on Fuzzy Set Theory, Johannes Keplas University Liuz, 1981, pp. 211-222.
17. L.A. Zadeh, Outline of a new approach to the analysis of complex systems and decision processes, IEEE Transactions Systems, Man and Cybernetics 3 (1973) 28-44.