When QM-operators are implication functions and conditional fuzzy relations

International Journal of Intelligent Systems

Volumn 15, Issue 7, 2000, Pages 647-655

  Trillas, Enric ^a   Del Campo, Cristina ^b   Cubillo, Susana ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; FUZZY SETS; MATHEMATICAL OPERATORS;

FUZZY REASONING SYSTEMS;

INFERENCE ENGINES;

EID: 0033718567     PISSN: 08848173     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-111X(200007)15:7<647::AID-INT5>3.0.CO;2-T     Document Type: Article

References (14)

1. Alsina C, Castro JL, Trillas E. On the characterization of S and R implications. Proceedings of the VI I.F.S.A. World Congress, São Paulo (Brazil). 1995;1:317-319.
2. Bandler W, Kohout L. Fuzzy power sets and fuzzy implication operators. Fuzzy Sets Syst 1979;4:13-30.
3. Bandler W, Kohout L. Semantics of implication operators and fuzzy relational products. Int J Man-Machine Stud 1980;12:89-116.
4. Dubois D, Prade H. Fuzzy logic and the generalized modus ponens revisited. Int J Cybernet Syst 1984;15:293-331.
5. Gottwald S. Fuzzy sets and fuzzy logic. Wiesbaden: Vieweg-Verlag; 1993.
6. Smets P, Magrez P. Implication in fuzzy logic. Int J Approx Reason 1987;1/4:327-347.
7. Trillas E. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica 1979;III(1):47-60 (in Spanish). Reprinted in English in: Sobrino A, Barro S, Bugarin A, editors. Advances in Fuzzy Logic; Santiago de Compostela: Universidade de Santiago de Compostela; 1998.
8. Trillas E. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica 1979;III(1):47-60 (in Spanish). Reprinted in English in: Sobrino A, Barro S, Bugarin A, editors. Advances in Fuzzy Logic; Santiago de Compostela: Universidade de Santiago de Compostela; 1998.
9. Trillas E, Cubillo S. Modus ponens on boolean algebras revisited. Math Soft Comput 1996;3:105-112.
10. Trillas E, del Campo C, Cubillo S. Nota sobre el concepto de implicación borrosa. Actas ESTYLF'98 (in Spanish). 1998; p 238-243.
11. Trillas E, Cubillo S, del Campo C. A few remarks on some T-conditional functions. Proceedings of the Sixth IEEE International Conference on Fuzzy Systems, Barcelona. 1997;1:153-156.
12. Trillas E, de Soto AR, Cubillo S. A glance on implication and T-conditional functions. In: Novak V, Perfilieva I, editors. Discovering the world with fuzzy logic. to appear.
13. Trillas E, Valverde L. On mode and implication in approximate reasoning. In: Gupta MM, Kandel A, Bandler W, Kiszka JB, editors. Approximate reasoning in expert systems. North-Holland: Elsevier Science Publishers B.V.; 1985.
14. Yager RR. An approach to inference in approximate reasoning. Int J Man-Machine Stud 1980;13:323-338.