On a type of entropy of dynamical systems

Rok, strany: 1992, 135 - 138

This contribution has three aims. First we compare the concept by D. Dumitrescu [D. Dumitrescu: Measure preserving transformation and the entropy of fuzzy partition, in: 13th Linz seminar on Fuzzy set Theory (Linz 1991), pp. 25–27], [D. Dumitrescu: Fuzzy measures and the entropy of fuzzy partitions, J. Math. Anal. Appl. (to appear)] (see also [J. Rybárik: The entropy of $Q$–$F$-dynamical system, BUSEFAL 48 (1991), 24–26]) with that by P. Maličký and the author [P. Maličký, B. Riečan can: On the entropy of dynamical systems, in: Proc. Ergodic Theory and Related Topics II. (Georgenthal 1986), Teubner, Berlin, 1987, pp. 135–138]. Secondly we present two counting formulas for the entropy [P. Maličký, B. Riečan can: On the entropy of dynamical systems, in: Proc. Ergodic Theory and Related Topics II. (Georgenthal 1986), Teubner, Berlin, 1987, pp. 135–138]. Finally we present some remarks concerning the fuzzy entropy and especially we repeat the suggestion of P. Maličký to define a very close but different invariant for fuzzy dynamical systems.

ISO 690:

Riečan, B. 1992. On a type of entropy of dynamical systems. In Tatra Mountains Mathematical Publications, vol. 1, no.1, pp. 135-138. 1210-3195.

APA:

Riečan, B. (1992). On a type of entropy of dynamical systems. Tatra Mountains Mathematical Publications, 1(1), 135-138. 1210-3195.