On three laws typical of booleanity

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Volumn 2, Issue , 2004, Pages 520-523

  Trillas, Enric ^a   Renedo, Eloy ^a   Alsina, Claudi ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; FUZZY SETS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

FUNCTIONAL EQUATIONS; MODUS PONENS INEQUALITY; MORGAN ALGEBRAS; ORTHOLATTICES;

BOOLEAN ALGEBRA;

EID: 4544375773     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/nafips.2004.1337354     Document Type: Conference Paper

References (10)

1. Ch. Elkan. The paradoxical success of fuzzy logic, IEEE Expert, 1994, August, 3-8.
2. E. Trillas, C. Alsina, Elkan's theoretical argument reconsidered, Int. Jour. of Approximate Reasoning 26 (2000), 145-152.
3. E. Trillas, S. Cubillo, C. del Campo, When Q-operators are implication functions and conditional fuzzy relations?, Int. J. Intell. Syst. 15 (2000), 647-655.
4. E. Trillas, C. Alsina. On the joint verification of Modus Ponens and Modus Tollens in Fuzzy Logic, Proceedings Eusflat'01, 2001 (De Montfort University, Leiscester), 257-260.
5. E. Renedo, E. Trillas, C. Alsina, On the law (a.b′)′ = b + a′. b′ in de Morgan algebras and orthornodular lattices, Soft Computing 8 (2003), 71-73.
6. G. Birkhoff, Lattice Theory, Amer. Math. Society, Colloquium Pubs., 1973.
7. P. Mittelstaedt, Quantum Logic, Reidel Pubs., 1978.
8. L. Beran, Orthomodular Lattices, D. Reidel Pubs., 1985.
9. G.J. Klir.B. Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall, 1995.
10. P. Klement, R. Mesiar, E. Pap, Triangular Norms, Kluwer Ac. Pubs., 2000.