A note on the ordinal sum theorem and its consequence for the construction of triangular norms

Fuzzy Sets and Systems

Volumn 126, Issue 2, 2002, Pages 199-205

  Jenei, Sándor ^a  

^a UNIVERSITY OF PÉCS   (Hungary)

Author keywords

Ordinal sum; Semigroup; t norm; t subnorm

Indexed keywords

ALGEBRA; DECISION MAKING; FUZZY SETS; STATISTICAL METHODS;

TRIANGULAR NORMS;

THEOREM PROVING;

EID: 0036498105     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(01)00040-9     Document Type: Article

References (22)

1. Sur les opérations definies pour des nombres réels
2. Naturally totally ordered commutative semigroups
3. Sur l'équation fonctionelle de l'associativité
4. New construction methods for aggregation operators
5. Contrapositive symmetry of fuzzy implications
6. Structure of uninorms
7. On the simultaneous associativity of F(x,y) and x + y - F(x,y)
8. On conditioning operators
9. Fibred triangular norms
10. Generalized ordinal sum theorem and its consequence for the construction of triangular norms
11. New family of triangular norms via contrapositive symmetrization of residuated implications
12. The structure of Girard monoids on [0,1]
13. Structure of left-continuous t-norms with strong induced negations. (I) Rotation construction
14. Quasi- and pseudo-inverses of monotone functions and the construction of t-norms
15. Representation of associative functions
16. On the structure of semigroups on a compact manifold with boundary
17. Associative functions and abstract semigroups