Remarks on representation of fuzzy quantum posets
Mathematica slovaca, Tome 44 (1994) no. 4, pp. 429-440
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 03E72, 03G12, 06A99, 81P10
@article{MASLO_1994_44_4_a2,
     author = {Dvure\v{c}enskij, Anatolij},
     title = {Remarks on representation of fuzzy quantum posets},
     journal = {Mathematica slovaca},
     pages = {429--440},
     year = {1994},
     volume = {44},
     number = {4},
     mrnumber = {1301951},
     zbl = {0815.03037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1994_44_4_a2/}
}
TY  - JOUR
AU  - Dvurečenskij, Anatolij
TI  - Remarks on representation of fuzzy quantum posets
JO  - Mathematica slovaca
PY  - 1994
SP  - 429
EP  - 440
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1994_44_4_a2/
LA  - en
ID  - MASLO_1994_44_4_a2
ER  - 
%0 Journal Article
%A Dvurečenskij, Anatolij
%T Remarks on representation of fuzzy quantum posets
%J Mathematica slovaca
%D 1994
%P 429-440
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1994_44_4_a2/
%G en
%F MASLO_1994_44_4_a2
Dvurečenskij, Anatolij. Remarks on representation of fuzzy quantum posets. Mathematica slovaca, Tome 44 (1994) no. 4, pp. 429-440. http://geodesic.mathdoc.fr/item/MASLO_1994_44_4_a2/

[1] CATTANEO G., NISTOCO G.: Brower-Zadeh posets and three-valued Lukasiewicz posets. Fuzzy Sets and Systems 33 (1989), 165-190. | MR

[2] DVUREČENSKIJ A.: Models of fuzzy quantum spaces. (Slovak). In: Proceedings PROBASTAT'89, Math. Inst. SAV, Bratislava, 1989, p. 96.

[3] DVUREČENSKIJ A.: On the existence of probability measures on fuzzy measurable spaces. Fuzzy Sets and Systems 43 (1991), 173-181. | MR | Zbl

[4] DVUREČENSKIJ A.: On a representation of observables in fuzzy measurable spaces. J. Math. Anal. Appl. (Submitted). | Zbl

[5] DVUREČENSKIJ A., LONG L. B.: On representation of fuzzy quantum posets. Acta Math. Univ. Comenian. 58-59 (1990), 239-246. | MR

[6] DVUREČENSKIJ A., LONG L. B.: Observables in fuzzy quantum posets. Acta Math. Univ. Comenian, 58-59 (1990), 247-258. | MR

[7] DVUREČENSKIJ A., RIEČAN B.: On joint distribution of observables for F-quantum spaces. Fuzzy Sets and Systems 39 (1991), 65-73. | MR | Zbl

[8] DVUREČENSKIJ A., RIEČAN B.: Fuzzy quantum models. Internal. J. Gen. Systems 20 (1991), 39-54. | MR | Zbl

[9] DVUREČENSKIJ A., TIRPÁKOVÁ A.: Sum of observables in fuzzy quantum spaces. Apl. Mat. 37 (1992), 40-50. | MR | Zbl

[10] GIUNTINI R.: A semantical investigation on Brower-Zadeh logic. J. Philos. Logic 20 (1991), 411-433. | MR

[11] GRIB A. A., ZAPATRIN R. R.: Quantum, logics - problems and perspectives. (Russian). In: Semiontics and Informatics. No. 29, AN SSSR, Moscow, 1989, pp. 124-144. | MR

[12] KOLESÁROVÁ A., MESIAR R.: A note on the representation of fuzzy observables. Busefal 43 (1990), 42-47.

[13] KOLMOGOROV A. N.: Grundebegriffe der Wahrscheintlichkeitsrechnung. Springer. Berlin, 1933.

[14] LONG L. B.: Fuzzy quantum posets and their states. Acta Math. Univ. Comenian. 58-59 (1990), 231-237. | MR

[15] NAVARA M., PTÁK P.: P-measures on soft fuzzy a-algebras. Fuzzy Sets and Systems 56 (1993), 123-126. | MR

[16] NAVARA M., PTÁK P.: On the state space of soft, fuzzy algebras. Busefal 48 (1991), 55-63.

[17] PIASECKI K.: Probability of fuzzy events defined as denumerable aditivity measure. Fuzzy Sets and Systems 17 (1985), 271-284. | MR

[18] PIASECKI K.: Extension of fuzzy P-measures generated by usual measure. Fuzzy Math. 7 (1987), 117-124. | MR

[19] PIASECKI K.: On fuzzy P-measures. In: Proceedings of the First Winter School on Measure Theory. Liptovský Ján, Jan. 10-15, 1988 (A. Dvurečenskij and S. Pulmannová. eds.), Math. Inst. SAV, Bratislava, 1988, pp. 108-112. | MR

[20] PYKACZ J.: Quantum logics and soft fuzzy probability spaces. Busefal 32 (1987), 150-157. | Zbl

[21] RIEČAN B.: A new approach to some notions of statistical quantum mechanics. Busefal 35 (1988), 4-6.

[22] SIKORSKI R.: Boolean Algebras. Springer Verlag, Heidelberg, 1964. | MR | Zbl

[23] SUPPES P.: The probability argument for a non-classical logic of quantum mechanics. Philos. Sci. 33 (1966), 14-21. | MR

[24] VARADARAJAN V. S.: Probability in physics and a theorem on simultaneous observability. Comm. Pure Appl. Phys. 15 (1962), 189-217, (Errata, ibid. 18 (1965)). | MR | Zbl

[25] VARADARAJAN V. S.: Geometry of Quantum Theory. Van Nostrand. New York, 1968. | MR | Zbl

[26] ZADEH L. A.: Probability measure of fuzzy events. J. Math. Anal. Appl. 23 (1968) 421-427. | MR