# Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces

Ferdinand Chovanec; František Kôpka

Applications of Mathematics (1991)

- Volume: 36, Issue: 1, page 32-45
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topChovanec, Ferdinand, and Kôpka, František. "Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces." Applications of Mathematics 36.1 (1991): 32-45. <http://eudml.org/doc/15658>.

@article{Chovanec1991,

abstract = {We introduce a fuzzy equality for $F$-observables on an $F$-quantum space which enables us to characterize different kinds of convergences, and to represent them by pointwise functions on an appropriate measurable space.},

author = {Chovanec, Ferdinand, Kôpka, František},

journal = {Applications of Mathematics},

keywords = {$F$-quantum space; $F$-state; $F$-observable; representation theorem of $F$-observables; convergence of $F$-observables; soft fuzzy $\sigma $-algebras; fuzzy equalities; fuzzy inequalities; fuzzy sets; convergence of observables; F-states; P-measures) and F-observables on F- quantum spaces; soft fuzzy -algebras; Fuzzy equalities; fuzzy inequalities; fuzzy sets},

language = {eng},

number = {1},

pages = {32-45},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces},

url = {http://eudml.org/doc/15658},

volume = {36},

year = {1991},

}

TY - JOUR

AU - Chovanec, Ferdinand

AU - Kôpka, František

TI - Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces

JO - Applications of Mathematics

PY - 1991

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 36

IS - 1

SP - 32

EP - 45

AB - We introduce a fuzzy equality for $F$-observables on an $F$-quantum space which enables us to characterize different kinds of convergences, and to represent them by pointwise functions on an appropriate measurable space.

LA - eng

KW - $F$-quantum space; $F$-state; $F$-observable; representation theorem of $F$-observables; convergence of $F$-observables; soft fuzzy $\sigma $-algebras; fuzzy equalities; fuzzy inequalities; fuzzy sets; convergence of observables; F-states; P-measures) and F-observables on F- quantum spaces; soft fuzzy -algebras; Fuzzy equalities; fuzzy inequalities; fuzzy sets

UR - http://eudml.org/doc/15658

ER -

## References

top- S. P. Gudder H. C. Mullikin, 10.1063/1.1666301, Journal of Mathematical Physics, 14 (1973), 234-242. (1973) MR0334747DOI10.1063/1.1666301
- B. Riečan, A new approach to some notions of statistical quantum mechanics, Busefal, 35, (1988), 4-6. (1988)
- A. Dvurečenskij, On existence of probability measures on fuzzy measurable spaces, (to appear in Fuzzy Sets and Systems). MR1128000
- K. Piasecki, 10.1016/0165-0114(85)90093-4, Fuzzy Sets and Systems, 17 (1985), 271-284. (1985) MR0819364DOI10.1016/0165-0114(85)90093-4
- A. Dvurečenskij A. Tirpáková, A note on a sum of observables in F-quantum spaces and its applications, Busefal, 35 (1988), 132-137. (1988)
- K. Piasecki, On fuzzy F-measures, In: Proc. First Winter School on Measure Theory, Liptovský Ján, Jan. 10-15, 1988, 108-112. (1988) MR1000200
- A. Dvurečenskij, On a representation of observables in fuzzy measurable spaces, (to appear in J. Math. Anal. Appl.). MR1372199
- A. Dvurečenskij B. Riečan, On joint distribution of observables for F-quantum spaces, (to appear in Fuzzy Sets and Systems). MR1089012
- T. Neubrunn B. Riečan, Measure and Integral, (Slovak). VEDA Bratislava 1981. (1981) MR0657765

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.