Keywords: individual ergodic theorem; $d$-posets of fuzzy sets; state and observable
@article{CMJ_2000_50_4_a0,
author = {Rie\v{c}an, Beloslav},
title = {On the individual ergodic theorem in $D$-posets of fuzzy sets},
journal = {Czechoslovak Mathematical Journal},
pages = {673--680},
year = {2000},
volume = {50},
number = {4},
mrnumber = {1792963},
zbl = {1079.28504},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a0/}
}
Riečan, Beloslav. On the individual ergodic theorem in $D$-posets of fuzzy sets. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 673-680. http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a0/
[1] D. Butnariu and E. P. Klement: Triangular norm-based measures and their Markov kernel representation. J. Math. Anal. Appl. 169 (1991), 111–143. | DOI | MR
[2] A. Dvurečenskij and S. Pulmannová: Difference posets, effects and quantum measurements. Internat. J. Theoret. Phys. 33 (1994), 819–850. | DOI | MR
[3] F. Chovanec and F. Kôpka: On a representation of observables in $D$-posets of fuzzy sets. Tatra Mt. Math. Publ. 1 (1992), 19–24. | MR
[4] M. Jurečková and B. Riečan: On the strong law of large numbers in $D$-posets. Internat. J. Theoret. Phys 34 (1995), 1495–1500. | DOI | MR
[5] F. Kôpka and F. Chovanec: $D$-posets. Math. Slovaca 44 (1994), 21–34. | MR
[6] R. Mesiar: Fuzzy observables. J. Math. Anal. Appl. 174 (1993), 178–193. | DOI | MR | Zbl
[7] R. Mesiar and B. Riečan: On the joint observables in some quantum structures. Tatra Mt. Math. Publ. 3 (1993), 183–190. | MR
[8] B. Riečan: Upper and lower limits of sequences of observables in $D$-posets of fuzzy sets. Math. Slovaca 46 (1996), 419–431. | MR
[9] P. Walters: Ergodic Theory—Introductory Lectures. Springer, Berlin, 1975. | MR | Zbl