On t-reverse of t-norms

Rok, strany: 1997, 35 - 40

A commutative, associative, non decreasing function $T:[0,1]²\to[0,1]$ satisfying the boundary condition $T(x,1)=x$ is called a t-norm. A t-reverse of t-norm is a function $T^*$ defined by $T^*(x, y)=\max\{0,x+y-1+T(1-x,1-y)\}$. If $T^*$ is t-norm then $T$ is t-reversible. The main results characterize t-reversibility of t-norms and their ordinal sums.

ISO 690:

Šabo, M. 1997. On t-reverse of t-norms. In Tatra Mountains Mathematical Publications, vol. 12, no.3, pp. 35-40. 1210-3195.

APA:

Šabo, M. (1997). On t-reverse of t-norms. Tatra Mountains Mathematical Publications, 12(3), 35-40. 1210-3195.