On the relation between fuzzy preorders and fuzzy consequence operators

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 7, Issue 3, 1999, Pages 219-234

  Elorza, J ^a   Burillo, P ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Closure Operator; Coherent Operator; Fuzzy Consequence Operator; Fuzzy Logic; Fuzzy Preorder

Indexed keywords

EID: 0037871235     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488599000167     Document Type: Article

References (15)

1. A. Tarski, "Logic, semantics, metamathematics", Clarendon Press, Oxford (1956).
2. J.L. Castro and E. Trillas, "Sobre preórdenes y operadores de consecuencias de Tarski", Theoria Second period, Course 1.988-1.989, N. 11 (1989), pp. 419-425.
3. L.A. Zadeh, "Fuzzy sets", Information and Control 8 (1965). pp. 338-353.
4. J. Pavelka, "On Fuzzy Logic I", Zeitschr. f. Math. Logik und Grundlagen d. Math. Bd. 25 (1979), pp. 45-52.
5. F. Esteva, "On the form of negations in posets", Proc. of The Eleventh Internat. Symp. on Multiple-Valued Logic (1981).
6. M. Ward, "The closure operators of a lattice", Annals of Mathematics Vol. 43. N.2, (1940), pp. 191-196.
7. J.L. Castro, "Fuzzy logics as families of bivaluated logics", Fuzzy Sets and Systems 64 (1994), pp. 321-332.
8. J.L. Castro and E. Trillas, "Tarski's fuzzy consequences", (submit to IJAR) Proc. of the Internat. Fuzzy Engineering Symp'91 Vol. 1 (1991), pp. 70-81.
9. J.L. Castro, E. Trillas and S. Cubillo, "On consequence in approximate reasoning", Journal of Applied Non-Classical Logics Volume 4 n.1 (1994), pp. 91-103.
10. F. Esteva, P. García, L. Godo, and R.O. Rodríguez, "Fuzzy approximation relations, Modal structures and possibilistic logic", Submit to Mathware & Soft Computing (1996).
11. G. Gerla, "An Extension Principle for Fuzzy Logics", Mathematical Logic Quartely, 40 (1994), pp. 357-380.
12. G. Gerla, "Comparing fuzzy and crisp deduction systems", Fuzzy Sets and Systems 67 (1994), pp. 317-328.
13. E. Trillas, C. Alsina and J.M. Terricabras, "Introducción a la lógica borrosa", Ariel (1995).
14. J. Elorza and P. Burillo, "Parametric families of fuzzy consequence operators in fuzzy logic", (submit to IJAR) Proc. of the VII-RPIC (1997).
15. D. Ruan and E.E. Kerre, "Logic : Fuzzy implication operators and generalizaed fuzzy method of cases", Fuzzy Sets and Systems 54 (1993) , pp. 23-37.