Title :
Powers of t-norms
Author :
Walker, Card L. ; Walker, Elbert A.
Author_Institution :
Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
Abstract :
The rth power of a continuous t-norm is defined for positive real numbers r, generalizing the notion of the diagonal (2nd power). The increasing functions from the unit interval to itself that are realized as the rth power of some continuous t-norm are identified.
Keywords :
fuzzy set theory; number theory; continuous t-norm; increasing functions; positive real numbers; unit interval; Algebra; Lattices; Logic functions; Petroleum; Tiles;
Conference_Titel :
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location :
Seoul, South Korea
Print_ISBN :
0-7803-5406-0
DOI :
10.1109/FUZZY.1999.793092
