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On the continuity of t-reverse of t-norms

In: Tatra Mountains Mathematical Publications, vol. 6, no. 2
Michal Šabo
Detaily:
Rok, strany: 1995, 173 - 178
O článku:
A t-norm is a function $T:[0,1]2 to[0,1]$, which is associative, commutative, non decreasing and satisfies the boundary condition $T(x, 1)=x$ for all $x\in[0,1]$. A function $T*=\max(0, x+y-1+T(1-x, 1-y))$ is called the t-reverse of t-norm $T$. It was introduced by C. Kimberling in 1973 [C. Kimberling: On a class of associative functions, Publ. Math. Debrecen 20 (1973), 21–39]. The list of some solved and open problems is given. The main result proves that $T*$ is continuous for every t-reversible t-norm $T$.
Ako citovať:
ISO 690:
Šabo, M. 1995. On the continuity of t-reverse of t-norms. In Tatra Mountains Mathematical Publications, vol. 6, no.2, pp. 173-178. 1210-3195.

APA:
Šabo, M. (1995). On the continuity of t-reverse of t-norms. Tatra Mountains Mathematical Publications, 6(2), 173-178. 1210-3195.